Cross Diffusion Systems

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Cross Diffusion Systems

Author : Dung Le
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110795132
Total Pages : 236 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Cross Diffusion Systems by : Dung Le

Download or read book Cross Diffusion Systems written by Dung Le and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-10-24 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The introduction of cross diffusivity opens many questions in the theory of reactiondiffusion systems. This book will be the first to investigate such problems presenting new findings for researchers interested in studying parabolic and elliptic systems where classical methods are not applicable. In addition, The Gagliardo-Nirenberg inequality involving BMO norms is improved and new techniques are covered that will be of interest. This book also provides many open problems suitable for interested Ph.D students.

Nonlinear Reaction-Diffusion Systems

Author : Roman Cherniha
Publisher : Springer
ISBN 13 : 3319654675
Total Pages : 160 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Nonlinear Reaction-Diffusion Systems by : Roman Cherniha

Download or read book Nonlinear Reaction-Diffusion Systems written by Roman Cherniha and published by Springer. This book was released on 2017-09-18 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents several fundamental results in solving nonlinear reaction-diffusion equations and systems using symmetry-based methods. Reaction-diffusion systems are fundamental modeling tools for mathematical biology with applications to ecology, population dynamics, pattern formation, morphogenesis, enzymatic reactions and chemotaxis. The book discusses the properties of nonlinear reaction-diffusion systems, which are relevant for biological applications, from the symmetry point of view, providing rigorous definitions and constructive algorithms to search for conditional symmetry (a nontrivial generalization of the well-known Lie symmetry) of nonlinear reaction-diffusion systems. In order to present applications to population dynamics, it focuses mainly on two- and three-component diffusive Lotka-Volterra systems. While it is primarily a valuable guide for researchers working with reaction-diffusion systems and those developing the theoretical aspects of conditional symmetry conception, parts of the book can also be used in master’s level mathematical biology courses.

Entropy Methods for Diffusive Partial Differential Equations

Author : Ansgar Jüngel
Publisher : Springer
ISBN 13 : 3319342193
Total Pages : 139 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Entropy Methods for Diffusive Partial Differential Equations by : Ansgar Jüngel

Download or read book Entropy Methods for Diffusive Partial Differential Equations written by Ansgar Jüngel and published by Springer. This book was released on 2016-06-17 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a range of entropy methods for diffusive PDEs devised by many researchers in the course of the past few decades, which allow us to understand the qualitative behavior of solutions to diffusive equations (and Markov diffusion processes). Applications include the large-time asymptotics of solutions, the derivation of convex Sobolev inequalities, the existence and uniqueness of weak solutions, and the analysis of discrete and geometric structures of the PDEs. The purpose of the book is to provide readers an introduction to selected entropy methods that can be found in the research literature. In order to highlight the core concepts, the results are not stated in the widest generality and most of the arguments are only formal (in the sense that the functional setting is not specified or sufficient regularity is supposed). The text is also suitable for advanced master and PhD students and could serve as a textbook for special courses and seminars.

Progress in Industrial Mathematics at ECMI 2016

Author : Peregrina Quintela
Publisher : Springer
ISBN 13 : 3319630822
Total Pages : 782 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Progress in Industrial Mathematics at ECMI 2016 by : Peregrina Quintela

Download or read book Progress in Industrial Mathematics at ECMI 2016 written by Peregrina Quintela and published by Springer. This book was released on 2018-03-26 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses mathematics in a wide variety of applications, ranging from problems in electronics, energy and the environment, to mechanics and mechatronics. Using the classification system defined in the EU Framework Programme for Research and Innovation H2020, several of the topics covered belong to the challenge climate action, environment, resource efficiency and raw materials; and some to health, demographic change and wellbeing; while others belong to Europe in a changing world – inclusive, innovative and reflective societies. The 19th European Conference on Mathematics for Industry, ECMI2016, was held in Santiago de Compostela, Spain in June 2016. The proceedings of this conference include the plenary lectures, ECMI awards and special lectures, mini-symposia (including the description of each mini-symposium) and contributed talks. The ECMI conferences are organized by the European Consortium for Mathematics in Industry with the aim of promoting interaction between academy and industry, leading to innovation in both fields and providing unique opportunities to discuss the latest ideas, problems and methodologies, and contributing to the advancement of science and technology. They also encourage industrial sectors to propose challenging problems where mathematicians can provide insights and fresh perspectives. Lastly, the ECMI conferences are one of the main forums in which significant advances in industrial mathematics are presented, bringing together prominent figures from business, science and academia to promote the use of innovative mathematics in industry.

Function Spaces, Differential Operators and Nonlinear Analysis

Author : Dorothee Haroske
Publisher : Birkhäuser
ISBN 13 : 3034880359
Total Pages : 462 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Function Spaces, Differential Operators and Nonlinear Analysis by : Dorothee Haroske

Download or read book Function Spaces, Differential Operators and Nonlinear Analysis written by Dorothee Haroske and published by Birkhäuser. This book was released on 2012-12-06 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to our teacher and friend Hans Triebel. The core of the book is based on lectures given at the International Conference "Function Spaces, Differential Operators and Nonlinear Analysis" (FSDONA--01) held in Teistungen, Thuringia / Germany, from June 28 to July 4,2001, in honour of his 65th birthday. This was the fifth in a series of meetings organised under the same name by scientists from Finland (Helsinki, Oulu) , the Czech Republic (Prague, Plzen) and Germany (Jena) promoting the collaboration of specialists in East and West, working in these fields. This conference was a very special event because it celebrated Hans Triebel's extraordinary impact on mathematical analysis. The development of the mod ern theory of function spaces in the last 30 years and its application to various branches in both pure and applied mathematics is deeply influenced by his lasting contributions. In a series of books Hans Triebel has given systematic treatments of the theory of function spaces from different points of view, thus revealing its interdependence with interpolation theory, harmonic analysis, partial differential equations, nonlinear operators, entropy, spectral theory and, most recently, anal ysis on fractals. The presented collection of papers is a tribute to Hans Triebel's distinguished work. The book is subdivided into three parts: • Part I contains the two invited lectures by O.V. Besov (Moscow) and D.E. Edmunds (Sussex) having a survey character and honouring Hans Triebel's contributions.

The Mathematics of Diffusion

Author : John Crank
Publisher : Oxford University Press
ISBN 13 : 9780198534112
Total Pages : 428 pages
Book Rating : 4.5/5 (341 download)

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Book Synopsis The Mathematics of Diffusion by : John Crank

Download or read book The Mathematics of Diffusion written by John Crank and published by Oxford University Press. This book was released on 1979 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Though it incorporates much new material, this new edition preserves the general character of the book in providing a collection of solutions of the equations of diffusion and describing how these solutions may be obtained.

An Introduction to Nonlinear Chemical Dynamics

Author : Irving R. Epstein
Publisher : Oxford University Press
ISBN 13 : 0198025661
Total Pages : 407 pages
Book Rating : 4.1/5 (98 download)

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Book Synopsis An Introduction to Nonlinear Chemical Dynamics by : Irving R. Epstein

Download or read book An Introduction to Nonlinear Chemical Dynamics written by Irving R. Epstein and published by Oxford University Press. This book was released on 1998-10-22 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Just a few decades ago, chemical oscillations were thought to be exotic reactions of only theoretical interest. Now known to govern an array of physical and biological processes, including the regulation of the heart, these oscillations are being studied by a diverse group across the sciences. This book is the first introduction to nonlinear chemical dynamics written specifically for chemists. It covers oscillating reactions, chaos, and chemical pattern formation, and includes numerous practical suggestions on reactor design, data analysis, and computer simulations. Assuming only an undergraduate knowledge of chemistry, the book is an ideal starting point for research in the field. The book begins with a brief history of nonlinear chemical dynamics and a review of the basic mathematics and chemistry. The authors then provide an extensive overview of nonlinear dynamics, starting with the flow reactor and moving on to a detailed discussion of chemical oscillators. Throughout the authors emphasize the chemical mechanistic basis for self-organization. The overview is followed by a series of chapters on more advanced topics, including complex oscillations, biological systems, polymers, interactions between fields and waves, and Turing patterns. Underscoring the hands-on nature of the material, the book concludes with a series of classroom-tested demonstrations and experiments appropriate for an undergraduate laboratory.

Propagating Waves in Reaction Cross-diffusion Systems

Author : Abdullah Mohammed Aldurayhim
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Propagating Waves in Reaction Cross-diffusion Systems by : Abdullah Mohammed Aldurayhim

Download or read book Propagating Waves in Reaction Cross-diffusion Systems written by Abdullah Mohammed Aldurayhim and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples

Author : Robert Klöfkorn
Publisher : Springer Nature
ISBN 13 : 3030436519
Total Pages : 727 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples by : Robert Klöfkorn

Download or read book Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples written by Robert Klöfkorn and published by Springer Nature. This book was released on 2020-06-09 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the 9th conference on "Finite Volumes for Complex Applications" (Bergen, June 2020) are structured in two volumes. The first volume collects the focused invited papers, as well as the reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods. Topics covered include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. Altogether, a rather comprehensive overview is given on the state of the art in the field. The properties of the methods considered in the conference give them distinguished advantages for a number of applications. These include fluid dynamics, magnetohydrodynamics, structural analysis, nuclear physics, semiconductor theory, carbon capture utilization and storage, geothermal energy and further topics. The second volume covers reviewed contributions reporting successful applications of finite volume and related methods in these fields. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability, making the finite volume methods compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. The book is a valuable resource for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as engineers working in numerical modeling and simulations.

Finite Difference Methods for Ordinary and Partial Differential Equations

Author : Randall J. LeVeque
Publisher : SIAM
ISBN 13 : 9780898717839
Total Pages : 356 pages
Book Rating : 4.7/5 (178 download)

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Book Synopsis Finite Difference Methods for Ordinary and Partial Differential Equations by : Randall J. LeVeque

Download or read book Finite Difference Methods for Ordinary and Partial Differential Equations written by Randall J. LeVeque and published by SIAM. This book was released on 2007-01-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.

Applied Panarchy

Author : Lance H. Gunderson
Publisher : Island Press
ISBN 13 : 1642830909
Total Pages : 341 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Applied Panarchy by : Lance H. Gunderson

Download or read book Applied Panarchy written by Lance H. Gunderson and published by Island Press. This book was released on 2022-04-21 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: After a decades-long economic slump, the city of Flint, Michigan, struggled to address chronic issues of toxic water supply, malnutrition, and food security gaps among its residents. A community-engaged research project proposed a resilience assessment that would use panarchy theory to move the city toward a more sustainable food system. Flint is one of many examples that demonstrates how panarchy theory is being applied to understand and influence change in complex human-natural systems. Applied Panarchy, the much-anticipated successor to Lance Gunderson and C.S. Holling’s seminal 2002 volume Panarchy, documents the extraordinary advances in interdisciplinary panarchy scholarship and applications over the past two decades. Panarchy theory has been applied to a broad range of fields, from economics to law to urban planning, changing the practice of environmental stewardship for the better in measurable, tangible ways. Panarchy describes the way systems—whether forests, electrical grids, agriculture, coastal surges, public health, or human economies and governance—are part of even larger systems that interact in unpredictable ways. Although humans desire resiliency and stability in our lives to help us understand the world and survive, nothing in nature is permanently stable. How can society anticipate and adjust to the changes we see around us? Where Panarchy proposed a framework to understand how these transformational cycles work and how we might influence them, Applied Panarchy takes the scholarship to the next level, demonstrating how these concepts have been modified and refined. The book shows how panarchy theory intersects with other disciplines, and how it directly influences natural resources management and environmental stewardship. Intended as a text for graduate courses in environmental sciences and related fields, Applied Panarchy picks up where Panarchy left off, inspiring new generations of scholars, researchers, and professionals to put its ideas to work in practical ways.

Reaction-diffusion Equations And Their Applications And Computational Aspects - Proceedings Of The China-japan Symposium

Author : Tatsien Li
Publisher : World Scientific
ISBN 13 : 9814547840
Total Pages : 242 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Reaction-diffusion Equations And Their Applications And Computational Aspects - Proceedings Of The China-japan Symposium by : Tatsien Li

Download or read book Reaction-diffusion Equations And Their Applications And Computational Aspects - Proceedings Of The China-japan Symposium written by Tatsien Li and published by World Scientific. This book was released on 1997-02-03 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the symposium was to provide a forum for presenting and discussing recent developments and trends in Reaction-diffusion Equations and to promote scientific exchanges among mathematicians in China and in Japan, especially for the younger generation. The topics discussed were: Layer dynamics, Traveling wave solutions and its stability, Equilibrium solutions and its limit behavior (stability), Bifurcation phenomena, Computational solutions, and Infinite dimensional dynamical system.

Parabolic Equations in Biology

Author : Benoît Perthame
Publisher : Springer
ISBN 13 : 331919500X
Total Pages : 199 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Parabolic Equations in Biology by : Benoît Perthame

Download or read book Parabolic Equations in Biology written by Benoît Perthame and published by Springer. This book was released on 2015-09-09 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents several fundamental questions in mathematical biology such as Turing instability, pattern formation, reaction-diffusion systems, invasion waves and Fokker-Planck equations. These are classical modeling tools for mathematical biology with applications to ecology and population dynamics, the neurosciences, enzymatic reactions, chemotaxis, invasion waves etc. The book presents these aspects from a mathematical perspective, with the aim of identifying those qualitative properties of the models that are relevant for biological applications. To do so, it uncovers the mechanisms at work behind Turing instability, pattern formation and invasion waves. This involves several mathematical tools, such as stability and instability analysis, blow-up in finite time, asymptotic methods and relative entropy properties. Given the content presented, the book is well suited as a textbook for master-level coursework.

Infinite-Dimensional Dynamical Systems in Mechanics and Physics

Author : Roger Temam
Publisher : Springer Science & Business Media
ISBN 13 : 1461206456
Total Pages : 670 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Infinite-Dimensional Dynamical Systems in Mechanics and Physics by : Roger Temam

Download or read book Infinite-Dimensional Dynamical Systems in Mechanics and Physics written by Roger Temam and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the author presents the dynamical systems in infinite dimension, especially those generated by dissipative partial differential equations. This book attempts a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics and in other areas of sciences and technology. This second edition has been updated and extended.

2021 International Conference on Information Science and Communications Technologies (ICISCT)

Author : IEEE Staff
Publisher :
ISBN 13 : 9781665432597
Total Pages : pages
Book Rating : 4.4/5 (325 download)

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Book Synopsis 2021 International Conference on Information Science and Communications Technologies (ICISCT) by : IEEE Staff

Download or read book 2021 International Conference on Information Science and Communications Technologies (ICISCT) written by IEEE Staff and published by . This book was released on 2021-11-03 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Information Science and Communications Technologies ICISCT 2021 invites high quality recent research results in the areas of Home and Health networking, Electronic commerce, Mobility and Mobile Payment, Broadband access, satellite services, 5G in rural communications, cloud computing, Smart grids, Big data analysis, Cyber security, Internet of Things IOT, Mobile and Wireless Communications, optical communications and networking, architectures, protocols, planning and design, management and operation, simulation and performance modeling ICISCT2021 conference is the application of the next generation of information and communications technologies on Education, Tele medicine, Finance and Economy Photonic devices and integration, Optoelectronic integration including devices and materials, Optical networks and transmission systems, Novel fibers and fiber based devices, Transmission systems and networks Photonics sensors and sensor networks, Microwave photonics

Iterative Methods for Sparse Linear Systems

Author : Yousef Saad
Publisher : SIAM
ISBN 13 : 0898715342
Total Pages : 537 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Iterative Methods for Sparse Linear Systems by : Yousef Saad

Download or read book Iterative Methods for Sparse Linear Systems written by Yousef Saad and published by SIAM. This book was released on 2003-04-01 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- General.

Growth and Diffusion Phenomena

Author : Robert B. Banks
Publisher : Springer Science & Business Media
ISBN 13 : 3662030527
Total Pages : 465 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Growth and Diffusion Phenomena by : Robert B. Banks

Download or read book Growth and Diffusion Phenomena written by Robert B. Banks and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diffusion and growth phenomena abound in the real world surrounding us. Someexamples: growth of the world's population, growth rates of humans, public interest in news events, growth and decline of central city populations, pollution of rivers, adoption of agricultural innovations, and spreading of epidemics and migration of insects. These and numerous other phenomena are illustrations of typical growth and diffusion problems confronted in many branches of the physical, biological and social sciences as well as in various areas of agriculture, business, education, engineering medicine and public health. The book presents a large number of mathematical models to provide frameworks forthe analysis and display of many of these. The models developed and utilizedcommence with relatively simple exponential, logistic and normal distribution functions. Considerable attention is given to time dependent growth coefficients and carrying capacities. The topics of discrete and distributed time delays, spatial-temporal diffusion and diffusion with reaction are examined. Throughout the book there are a great many numerical examples. In addition and most importantly, there are more than 50 in-depth "illustrations" of the application of a particular framework ormodel based on real world problems. These examples provide the reader with an appreciation of the intrinsic nature of the phenomena involved. They address mainly readers from the physical, biological, and social sciences, as the only mathematical background assumed is elementary calculus. Methods are developed as required, and the reader can thus acquire useful tools for planning, analyzing, designing,and evaluating studies of growth transfer and diffusion phenomena. The book draws on the author's own hands-on experience in problems of environmental diffusion and dispersion, as well as in technology transfer and innovation diffusion.