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The Material Limits of Energy Transition: Thanatia
by Alicia Valero Antonio Valero Guiomar CalvoEarth has become a huge mine, with a greater quantity and variety of fundamental mineral resources being extracted year after year. Technology, from electric cars to everyday electrical equipment, consume vast amounts of scarce raw materials. On a planet with limited resources, are these minerals being properly assessed? Will there be enough raw materials to meet the demand of a world population on track to reach 10 billion people? What will be the consequences of accelerated resource depredation? Will the planet one day become 'Thanatia', a resource-exhausted Earth?This book allows readers to understand the mineral heritage of the Earth, considering the demand for raw materials in society, comparing it with the availability of resources on Earth and the impact of mining. The basics of physical geonomics are exlpained, allowing readers to analyse the loss of mineral resources on the planet. The impact of renewable energies and technologies, including electric vehicles, are studied. The book concludes with possible solutions to mineral depletion, from increasing recycling rates, ecodesign measures or alternative sources of mineral resources. Providing numerous tables and illustrations, 'The Material Limits of Energy Transition: Thanatia' gives readers a thorough understanding of mineral depletion. Exploring geology, geochemistry, mining, metallurgy, the environment and thermodynamics, this is a truly holistic book.
Material Matters: Developing Business for a Circular Economy
by Thomas Rau Sabine OberhuberOur planet is a closed system with limited material resources, yet our current economic model is designed in a one-way direction from resource extraction to disposal, leading to resource depletion. This book proposes a new economic model, offering an alternative to this linear ‘take-make-waste’ economy. Material Matters shows a way of creating a circular economy by using the unlimited resources we have: renewable energy, data and intelligence. It describes a system based on circular business models centred on selling performance rather than ownership, designing products and buildings as resource banks and equipping products with a ‘material passport’ to ensure their usability for future generations. Businesses thereby become custodians of materials, rather than consumers of materials and sellers of products. The book evokes the vision of a radically new economic model based on a compelling narrative, supported with cases that have been developed in conjunction with major companies, for example, convincing Philips to sell light instead of lamps, saving energy and materials by creating a whole new business model, a case which has become iconic for the circular economy. Material Matters is not a somber analysis of the state of the planet but a concrete and comprehensive agenda for change, offering perspectives for taking action for business and individual consumers alike.
The Material Point Method: Theory, Implementations and Applications (Scientific Computation)
by Vinh Phu Nguyen Alban de Vaucorbeil Stephane BordasThis book provides an introduction to the fundamental theory, practical implementation, and core and emerging applications of the material point method (MPM) and its variants. The MPM combines the advantages of both finite element analysis (FEM) and meshless/meshfree methods (MMs) by representing the material by a set of particles overlaid on a background mesh that serves as a computational scratchpad.The book shows how MPM allows a robust, accurate, and efficient simulation of a wide variety of material behaviors without requiring overly complex implementations. MPM and its variants have been shown to be successful in simulating a large number of high deformation and complicated engineering problems such as densification of foam, sea ice dynamics, landslides, and energetic device explosions, to name a few, and have recently found applications in the movie industry. It is hoped that this comprehensive exposition on MPM variants and their applications will not only provide an opportunity to re-examine previous contributions, but also to re-organize them in a coherent fashion and in anticipation of new advances.Sample algorithms for the solutions of benchmark problems are provided online so that researchers and graduate students can modify these algorithms and develop their own solution algorithms for specific problems. The goal of this book is to provide students and researchers with a theoretical and practical knowledge of the material point method to analyze engineering problems, and it may help initiate and promote further in-depth studies on the subjects discussed.
The Material Point Method for Geotechnical Engineering: A Practical Guide
by James Fern Alexander Rohe Kenichi Soga Eduardo AlonsoThis practical guide provides the best introduction to large deformation material point method (MPM) simulations for geotechnical engineering. It provides the basic theory, discusses the different numerical features used in large deformation simulations, and presents a number of applications -- providing references, examples and guidance when using MPM for practical applications. <P><P>MPM covers problems in static and dynamic situations within a common framework. It also opens new frontiers in geotechnical modelling and numerical analysis. It represents a powerful tool for exploring large deformation behaviours of soils, structures and fluids, and their interactions, such as internal and external erosion, and post-liquefaction analysis; for instance the post-failure liquid-like behaviours of landslides, penetration problems such as CPT and pile installation, and scouring problems related to underwater pipelines. In the recent years, MPM has developed enough for its practical use in industry, apart from the increasing interest in the academic world.
Material Politics: Disputes Along the Pipeline (RGS-IBG Book Series)
by Andrew BarryIn Material Politics, author Andrew Barry reveals that as we are beginning to attend to the importance of materials in political life, materials has become increasingly bound up with the production of information about their performance, origins, and impact. Presents an original theoretical approach to political geography by revealing the paradoxical relationship between materials and politics Explores how political disputes have come to revolve not around objects in isolation, but objects that are entangled in ever growing quantities of information about their performance, origins, and impact Studies the example of the Baku-Tbilisi-Ceyhan oil pipeline – a fascinating experiment in transparency and corporate social responsibility – and its wide-spread negative political impact Capitalizes on the growing interdisciplinary interest, especially within geography and social theory, about the critical role of material artefacts in political life
Material Science and Environmental Engineering: Proceedings of the 3rd Annual 2015 International Conference on Material Science and Environmental Engineering (ICMSEE2015, Wuhan, Hubei, China, 5-6 June 2015)
by Ping ChenMaterial Science and Environmental Engineering presents novel and fundamental advances in the fields of material science and environmental engineering. Collecting the comprehensive and state-of-art in these fields, the contributions provide a broad overview of the latest research results, so that it will proof to be a valuable reference book to aca
Material World: The Six Raw Materials That Shape Modern Civilization
by null Ed ConwayTHE NEW YORK TIMES BOOK REVIEW EDITORS' CHOICE • AN ECONOMIST BEST BOOK OF THE YEAR • Sand, salt, iron, copper, oil, and lithium. These fundamental materials have created empires, razed civilizations, and fed our ingenuity and greed for thousands of years. Without them, our modern world would not exist, and the battle to control them will determine our future. • Finalist for the Financial Times and Schroders Business Book of the Year AwardThe fiber-optic cables that weave the World Wide Web, the copper veins of our electric grids, the silicon chips and lithium batteries that power our phones and cars: though it can feel like we now live in a weightless world of information—what Ed Conway calls &“the ethereal world&”—our twenty-first-century lives are still very much rooted in the material.In fact, we dug more stuff out of the earth in 2017 than in all of human history before 1950. For every ton of fossil fuels, we extract six tons of other materials, from sand to stone to wood to metal. And in Material World, Conway embarks on an epic journey across continents, cultures, and epochs to reveal the underpinnings of modern life on Earth—traveling from the sweltering depths of the deepest mine in Europe to spotless silicon chip factories in Taiwan to the eerie green pools where lithium originates.Material World is a celebration of the humans and the human networks, the miraculous processes and the little-known companies, that combine to turn raw materials into things of wonder. This is the story of human civilization from an entirely new perspective: the ground up.
The Materiality of Literary Narratives in Urban History (Routledge Advances in Urban History)
by Lieven Ameel Jason Finch Silja Laine Richard DennisThe Materiality of Literary Narratives in Urban History explores a variety of geographical and cultural contexts to examine what literary texts, grasped as material objects and reflections on urban materialities, have to offer for urban history. The contributing writers’ approach to literary narratives and materialities in urban history is summarised within the conceptualisation ‘materiality in/of literature’: the way in which literary narratives at once refer to the material world and actively partake in the material construction of the world. This book takes a geographically multipolar and multidisciplinary approach to discuss cities in the UK, the US, India, South Africa, Finland, and France whilst examining a wide range of textual genres from the novel to cartoons, advertising copy, architecture and urban planning, and archaeological writing. In the process, attention is drawn to narrative complexities embedded within literary fiction and to the dialogue between narratives and historical change. The Materiality of Literary Narratives in Urban History has three areas of focus: literary fiction as form of urban materiality, literary narratives as social investigations of the material city, and the narrating of silenced material lives as witnessed in various narrative sources.
Materials and Sustainability: Building a Circular Future
by Julia L Goldstein Paul Foulkes-ArellanoThis book examines sustainable manufacturing, from the extraction of materials to processing, use, and disposal, and argues that significant changes in all of the above are needed for the world to progress toward a more circular economy.Materials and processing methods are usually chosen with performance as the key metric. Why has our society embraced plastics? Because they work. In most cases, they are lighter, easier to manufacture, and less expensive than the metal, wood, glass, or stone they have replaced. Why do industrial manufacturers use toxic chemicals? Because they are effective, but the unintended consequences may be severe. By learning how various materials are made and what happens when they are recycled, readers will better understand the value of materials and the challenges that manufacturers face when trying to make their facilities and products less toxic and less wasteful. The three chapters in Part I provide essential background about materials in the circular economy, chemicals, and waste. Part II delves into specific materials. It includes chapters on plastics, metals, wood and paper products, glass, and novel materials. Part III covers recycling and manufacturing processes, and Part IV delves into practical considerations, including the effect of regulations, concluding with a chapter that helps readers translate the information presented into action. Interviews with industry experts round out the chapters and offer valuable insights.Materials and Sustainability is a must-read for business professionals who are serious about making their companies as environmentally responsible as possible and for business and engineering students who want to begin their careers with practical knowledge about materials and their impacts.
Materials Discovery and Design: By Means of Data Science and Optimal Learning (Springer Series in Materials Science #280)
by Turab Lookman Stephan Eidenbenz Frank Alexander Cris BarnesThis book addresses the current status, challenges and future directions of data-driven materials discovery and design. It presents the analysis and learning from data as a key theme in many science and cyber related applications. The challenging open questions as well as future directions in the application of data science to materials problems are sketched. Computational and experimental facilities today generate vast amounts of data at an unprecedented rate. The book gives guidance to discover new knowledge that enables materials innovation to address grand challenges in energy, environment and security, the clearer link needed between the data from these facilities and the theory and underlying science. The role of inference and optimization methods in distilling the data and constraining predictions using insights and results from theory is key to achieving the desired goals of real time analysis and feedback. Thus, the importance of this book lies in emphasizing that the full value of knowledge driven discovery using data can only be realized by integrating statistical and information sciences with materials science, which is increasingly dependent on high throughput and large scale computational and experimental data gathering efforts. This is especially the case as we enter a new era of big data in materials science with the planning of future experimental facilities such as the Linac Coherent Light Source at Stanford (LCLS-II), the European X-ray Free Electron Laser (EXFEL) and MaRIE (Matter Radiation in Extremes), the signature concept facility from Los Alamos National Laboratory. These facilities are expected to generate hundreds of terabytes to several petabytes of in situ spatially and temporally resolved data per sample. The questions that then arise include how we can learn from the data to accelerate the processing and analysis of reconstructed microstructure, rapidly map spatially resolved properties from high throughput data, devise diagnostics for pattern detection, and guide experiments towards desired targeted properties. The authors are an interdisciplinary group of leading experts who bring the excitement of the nascent and rapidly emerging field of materials informatics to the reader.
Materials for Electronic, Magnetic, and Spintronic Technologies: Characterization and Applications from Energy Storage to Disease Detection (Engineering Materials)
by Amodini Mishra Virat Dixit Divya Somvanshi Anu Singh Anju MishraThis book consolidates the collective contributions of various authors, presenting a diverse array of materials for systematic property assessment and their subsequent application in electronic, magnetic, and spintronic technologies. Encompassing pure and modified polymers, metals, and semiconductors, the book elucidates the magnetic, photocatalytic, thermal, electrochemical, and other salient characteristics inherent in these materials. Delving into a broad spectrum of applications such as energy storage, environmental remediation (water purification), and biomedical (drug administration), the book carefully examines these materials in the context of their distinctive attributes. By elucidating the correlation between a material's functionality and its physical properties, this work offers a lucid and accessible presentation that facilitates an understanding of how these materials can be judiciously employed for specific purposes. Designed for researchers, graduate students, educators, engineers, industry researchers, and other informed members of the public, the comprehensive coverage of this book renders it an indispensable tool in the realm of materials science and technology. Through its meticulous exploration of various materials and their applications, this work stands as a valuable resource for those seeking a profound understanding of the intricate interplay between material properties and their functionalities.
Materials for Sustainable Energy Storage at the Nanoscale
by Fabian I. Ezema M. Anusuya Assumpta C. NwanyaThe book Materials for Sustainable Energy Storage Devices at the Nanoscale anticipates covering all electrochemical energy storage devices such as supercapacitors, lithium-ion batteries (LIBs), and fuel cells,transformation and enhancement materials for solar cells, photocatalysis, etc. The focal objective ofthe book is to deliver stunning and current information to the materials application at nanoscale toresearchers and scientists in our contemporary time towardthe enhancement of energy conversion andstorage devices. However, the contents of the proposed book, Materials for Sustainable Energy Storageat the Nanoscale, will cover various fundamental principles and wide knowledge of different energyconversion and storage devices with respect to their advancement due to the emergence of nanoscalematerials for sustainable storage devices. This book is targeted to be award-winning as well as a referencebook for researchers and scientists working on different types of nanoscale materials-based energystorage and conversion devices. Features Comprehensive overview of energy storage devices, an important field of interest for researchers worldwide Explores the importance and growing impact of batteries and supercapacitors Emphasizes the fundamental theories, electrochemical mechanism, and its computational viewpoint and discusses recent developments in electrode designing based on nanomaterials, separators,and fabrication of advanced devices and their performances Fabian I. Ezema is a professor at the University of Nigeria, Nsukka. He earned a PhD in Physics and Astronomy from the University of Nigeria, Nsukka. His research focused on several areas of Materials Science, from synthesis and characterizations of particles and thin-film materials through chemical routes with emphasis on energy applications. For the last 15 years, he has been working on energy conversion and storage (cathodes, anodes, supercapacitors, solar cells, among others), including novel methods of synthesis, characterization and evaluation of the electrochemical and optical properties. He has published about 180 papers in various international journals and given over 50 talks at various conferences. His h-index is 21 with over 1500 citations and he has served as reviewer for several high impact journals and as an editorial board member. Dr. M.Anusuya, M.Sc., M.Phil., B.Ed., PhD is specialized in Material science, Thin Film Technology, Nano Science, and Crystallography. She is working as a Registrar of Indra Ganesan Group of Institutions, Trichy, Tamilnadu, India. Earlier to this, she served as a Vice-Principal at Trichy Engineering College, Trichy, Tamilnadu, India.. Being an administrator and teacher, with more than 25 years’ experience, for her perpetual excellence in academics she has been recognized with many awards. She has received over 45 awards in Academic and Social Activity. She has published more than 30 research papers in National and International journals, 7 chapters in edited books, 5 patents, presented 50 papers in the conferences and organized more than 200 webinars, both national and internationally. Dr Assumpta C. Nwanya is a Lecturer and a FLAIR (Future Leaders - African Independent Research) Scholar at the Department of Physics and Astronomy, University of Nigeria, Nsukka. She obtained her PhD in 2017 (University of Nigeria, Nsukka) with specialisation in the synthesis of nanostructured materials for applications in photovoltaics and electrochemical energy storage (batteries and supercapacitors) as well as for sensing. She was a Postdoctoral Fellow under the UNESCO-University of South Africa (UNISA) Africa Chair in Nanoscience and Nanotechnology (2018-2020). She is a research Affiliate with the SensorLab, University of the Western Cape Sensor Laboratories, Cape Town, South Africa. Dr Nw
Materials for Sustainable Environmental, Energy, and Bioresource Applications: Proceedings from the International Conference on M2EBA 2023 (Springer Proceedings in Earth and Environmental Sciences)
by Phuong Nguyen-TriThis proceedings book showcases the latest research and developments in materials sciences and their applications for solving environmental and energy-related challenges. The book features insightful contributions from leading researchers, academics, professionals, and students in the field, who share their expertise, experiences, and perspectives on the key issues and innovations in materials sciences and engineering. The book is helpful to those interested in environmental sustainability, energy efficiency, or bioresource utilization.
Materials Interaction with Femtosecond Lasers: Theory and Ultra-Large-Scale Simulations of Thermal and Nonthermal Pheomena
by Bernd BauerhenneThis book presents a unified view of the response of materials as a result of femtosecond laser excitation, introducing a general theory that captures both ultrashort-time non-thermal and long-time thermal phenomena. It includes a novel method for performing ultra-large-scale molecular dynamics simulations extending into experimental and technological spatial dimensions with ab-initio precision. For this, it introduces a new class of interatomic potentials, constructed from ab-initio data with the help of a self-learning algorithm, and verified by direct comparison with experiments in two different materials — the semiconductor silicon and the semimetal antimony.In addition to a detailed description of the new concepts introduced, as well as giving a timely review of ultrafast phenomena, the book provides a rigorous introduction to the field of laser–matter interaction and ab-initio description of solids, delivering a complete and self-contained examination of the topic from the very first principles. It explains, step by step from the basic physical principles, the underlying concepts in quantum mechanics, solid-state physics, thermodynamics, statistical mechanics, and electrodynamics, introducing all necessary mathematical theorems as well as their proofs. A collection of appendices provide the reader with an appropriate review of many fundamental mathematical concepts, as well as important analytical and numerical parameters used in the simulations.
Materials Processing Fundamentals 2023 (The Minerals, Metals & Materials Series)
by Samuel Wagstaff Alexandra Anderson Adrian S. SabauThis volume covers various aspects of the fundamentals, synthesis, analysis, design, monitoring, and control of metals, materials, and metallurgical processes and phenomena. Topics represented include but are not limited to:• Use of artificial intelligence or big data in the control or optimization of industrial processes • Modelling or optimization of recycle streams and scrap loops • Measurement and control in hostile environments • Modeling transport phenomena in materials processing and metallurgical processes involving iron, steel, nonferrous metals, and composites • Thermodynamics, kinetics, and physical chemistry of materials processes and modelling thereof
Materials Science for Structural Geology
by Mervyn S. PatersonThis book sets out the basic materials science needed for understanding the plastic deformation of rocks and minerals. Although at atmospheric pressure or at relatively low environmental pressures, these materials tend to be brittle, that is, to fracture with little prior plastic deformation when non-hydrostatically stressed, they can undergo substantial permanent strain when stressed under environmental conditions of high confining pressure and high temperature, such as occur geologically in the Earth's crust and upper mantle. Thus the plastic deformation of rocks and minerals is of fundamental interest in structural geology and geodynamics. In mountain-building processes and during convective stirring in the Earth's mantle, rocks can undergo very large amounts of plastic flow, accompanied by substantial changes in microstructure. These changes in microstructure remain in the rocks as evidence of the past deformation history. There are a number of types of physical processes whereby rock and minerals can undergo deformation under geological conditions. The physics of these processes is set out in this book.
The Materials Sourcebook For Design Professionals
by Rob ThompsonAn indispensable reference for design professionals on selecting and using materials in new ways to make their designs ever more efficient and effective. Today’s technological advancements have resulted in traditional materials being used in increasingly innovative ways; designers are able to push the materials they use to their limits. Understanding these materials helps designers make inspired, practical decisions with confidence. The Materials Sourcebook for Design Professionals provides comprehensive, accurate information about the basic materials with which designers work on a daily basis, as well as a complete breakdown of new and exciting developments in high-tech materials. This inspiring and useful book is organized into six main sections on all the major design material groups: Metal, Plastic, Wood, Plant, Animal, and Mineral. Each section is broken down into chapters examining individual types of material within each larger group. Nearly one hundred material types are featured, each one supported by examples of how it can be used in a variety of industries, an outline of its most desirable properties, and details about its form and texture.
Maternities: Gender, Bodies and Space (Routledge International Studies of Women and Place)
by Robyn LonghurstOver the past decade geographers have shown a growing interest in 'the body' as an important co-ordinate of subjectivity and as a way of understanding further relationships between people, place and space. To date, however geographers have published little on what is one of, if not the, most important of all bodies - bodies that conceive, give birth and nurture other bodies. It is time that feminist, social, and cultural geographers contributed more to debates about maternal bodies. This book offers a series of windows on the ways in which maternal bodies influence, and are influenced by, social and spatial processes. Topics covered include women ‘coming out’ as pregnant at work, changing fashion for pregnant women, being disabled and pregnant, the politics of home versus hospital birth, breastfeeding practices that sit outside the norm, women who are constructed as ‘bad’ mothers, and ‘e-mums’ (mothers who go on-line).
Math Physics Foundation of Advanced Remote Sensing Digital Image Processing
by Lei Yan Hongying Zhao Yi Lin Yanbiao SunThis book focuses on the mathematical and physical foundations of remote sensing digital image processing and introduces key algorithms utilized in this area. The book fully introduces the basic mathematical and physical process of digital imaging, the basic theory and algorithm of pixel image processing, and the higher-order image processing algorithm and its application. This book skillfully and closely integrates theory, algorithms, and applications, making it simple for readers to understand and use. Researchers and students working in the fields of remote sensing, computer vision, geographic information science, electronic information, etc., can profit from this book. For their work and research in digital image processing, they can master the fundamentals of imaging and image processing techniques.
Mathematica for Physicists and Engineers
by K. B. Kumar Antony P. MonteiroMathematica for Physicists and Engineers Hands-on textbook for learning how to use Mathematica to solve real-life problems in physics and engineering Mathematica for Physicists and Engineers provides the basic concepts of Mathematica for scientists and engineers, highlights Mathematica’s several built-in functions, demonstrates mathematical concepts that can be employed to solve problems in physics and engineering, and addresses problems in basic arithmetic to more advanced topics such as quantum mechanics. The text views mathematics and physics through the eye of computer programming, fulfilling the needs of students at master’s levels and researchers from a physics and engineering background and bridging the gap between the elementary books written on Mathematica and the reference books written for advanced users. Mathematica for Physicists and Engineers contains information on: Basics to Mathematica, its nomenclature and programming language, and possibilities for graphic output Vector calculus, solving real, complex and matrix equations and systems of equations, and solving quantum mechanical problems in infinite-dimensional linear vector spaces Differential and integral calculus in one and more dimensions and the powerful but elusive Dirac Delta function Fourier and Laplace transform, two integral transformations that are instrumental in many fields of physics and engineering for the solution of ordinary and partial differential equations Serving as a complete first course in Mathematica to solve problems in science and engineering, Mathematica for Physicists and Engineers is an essential learning resource for students in physics and engineering, master’s students in material sciences, geology, biological sciences theoretical chemists. Also lecturers in these and related subjects will benefit from the book.
Mathematical Advances Towards Sustainable Environmental Systems
by James N. Furze Kelly Swing Anil K. Gupta Richard H. Mcclatchey Darren M. ReynoldsThis edited volume focuses on how we can protect our environment and enhance environmental sustainability when faced with changes and pressures imposed by our expansive needs. The volume unites multiple subject areas within sustainability, enabling the techniques and philosophy in the chapters to be applied to research areas in environmental science, plant sciences, energy, biodiversity and conservation. The chapters from expert contributors cover topics such as mathematical modelling tools used to monitor diversity of plant species, and the stability of ecosystem services such as biogeochemical cycling. Empirical research presented here also brings together mathematical developments in the important fields of robotics including kinematics, dynamics, path planning, control, vision, and swarmanoids. Through this book readers will also discover about rainfall-runoff modelling which will give them a better idea of the effects of climate change on the sustainability of water resources at the watershed scale. Modelling approaches will also be examined that maximize readers insights into the global problem of energy transition, i. e. the switch to an energy production system using renewable resources only. Collective and discrete insights are made to assist with synergy which should progress well beyond this book. Insight is also given to assist policy formations, development and implementations. The book has a strong multi-disciplinary nature at its core, and will appeal to both generalist readers and specialists in information technology, mathematics, biology, physics, chemistry and environmental sciences.
Mathematical Analysis and its Applications
by Ferit GürbüzThis book covers contemporary topics in mathematical analysis and its applications and relevance in other areas of research. It provides a better understanding of methods, problems, and applications in mathematical analysis. It also covers applications and uses of operator theory, approximation theory, optimization, variable exponent analysis, inequalities, special functions, functional equations, statistical convergence and some function spaces, and presents various associated problems and ways to solve such problems. The book provides readers a better understanding of discussed research problems by presenting related developments in reasonable details. It strives to bring scientists, researchers and scholars together on a common platform.
Mathematical Analysis of Continuum Mechanics and Industrial Applications III: Proceedings of the International Conference CoMFoS18 (Mathematics for Industry #34)
by Hiromichi Itou Shiro Hirano Masato Kimura Victor A. Kovtunenko Alexandr M. KhludnevThis book focuses on mathematical theory and numerical simulation related to various areas of continuum mechanics, such as fracture mechanics, (visco)elasticity, optimal shape design, modelling of earthquakes and Tsunami waves, material structure, interface dynamics and complex systems. Written by leading researchers from the fields of applied mathematics, physics, seismology, engineering, and industry with an extensive knowledge of mathematical analysis, it helps readers understand how mathematical theory can be applied to various phenomena, and conversely, how to formulate actual phenomena as mathematical problems. This book is the sequel to the proceedings of the International Conference of Continuum Mechanics Focusing on Singularities (CoMFoS) 15 and CoMFoS16.
Mathematical Analysis of Environmental System
by Jun TanimotoThis book is for all graduate students who are specializing in any environmental issue and who wish to grasp the fundamentals of physics that are required in various fields of science and engineering. The book provides the structural concept of the system state equation and its dynamics, which can be applicable to numerical solutions in several important areas such as heat and mass transfer and fluid dynamics. As a first step, there is a description of how to solve a linear system by conducting an analysis of temperature distribution in an infinite soil as a practical example. This exercise helps readers to fully understand what time and space discretizations are, and how actual numerical solutions should work. Because the concept of the system state equation relies on a vector-matrix form, the book shows how that particular form is applicable to other practical procedures: linear multi regression analysis, the least square method, and others. The book also gives the solution to non-linear dynamical systems and their applications. Although this book may appear to take an unusual approach, the author believes it will be inspiring and greatly helpful for the beginner who seeks a solid understanding of the basis of mathematics and physics for any environmental problems.
Mathematical Analysis of Groundwater Flow Models
by Abdon AtanganaThis book provides comprehensive analysis of a number of groundwater issues, ranging from flow to pollution problems. Several scenarios are considered throughout, including flow in leaky, unconfined, and confined geological formations, crossover flow behavior from confined to confined, to semi-confined to unconfined and groundwater pollution in dual media. Several mathematical concepts are employed to include into the mathematical models’ complexities of the geological formation, including classical differential operators, fractional derivatives and integral operators, fractal mapping, randomness, piecewise differential, and integral operators. It suggests several new and modified models to better predict anomalous behaviours of the flow and movement of pollution within complex geological formations. Numerous mathematical techniques are employed to ensure that all suggested models are well-suited, and different techniques including analytical methods and numerical methods are used to derive exact and numerical solutions of different groundwater models. Features: Includes modified numerical and analytical methods for solving new and modified models for groundwater flow and transport Presents new flow and transform models for groundwater transport in complex geological formations Examines fractal and crossover behaviors and their mathematical formulations Mathematical Analysis of Groundwater Flow Models serves as a valuable resource for graduate and PhD students as well as researchers working within the field of groundwater modeling.