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On Global Existence Of Solutions To A Cross Diffusion System


On Global Existence Of Solutions To A Cross Diffusion System
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On Global Existence Of Solutions To A Cross Diffusion System


On Global Existence Of Solutions To A Cross Diffusion System
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Author : Tuoc Van Phan
language : en
Publisher:
Release Date : 2007

On Global Existence Of Solutions To A Cross Diffusion System written by Tuoc Van Phan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.




Cross Diffusion Systems


Cross Diffusion Systems
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Author : Dung Le
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-10-24

Cross Diffusion Systems written by Dung Le and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-24 with Mathematics categories.


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.



Reaction Diffusion Equations And Their Applications And Computational Aspects Proceedings Of The China Japan Symposium


Reaction Diffusion Equations And Their Applications And Computational Aspects Proceedings Of The China Japan Symposium
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Author : Tatsien Li
language : en
Publisher: World Scientific
Release Date : 1997-02-03

Reaction Diffusion Equations And Their Applications And Computational Aspects Proceedings Of The China Japan Symposium written by Tatsien Li and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-02-03 with categories.


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.



Mathematical Modeling Of Collective Behavior In Socio Economic And Life Sciences


Mathematical Modeling Of Collective Behavior In Socio Economic And Life Sciences
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Author : Giovanni Naldi
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-12

Mathematical Modeling Of Collective Behavior In Socio Economic And Life Sciences written by Giovanni Naldi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-12 with Mathematics categories.


Using examples from finance and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.



Proceedings Of The 4th European Conference Elliptic And Parabolic Problems


Proceedings Of The 4th European Conference Elliptic And Parabolic Problems
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Author : Josef Bemelmans
language : en
Publisher: World Scientific
Release Date : 2002

Proceedings Of The 4th European Conference Elliptic And Parabolic Problems written by Josef Bemelmans and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.


This book provides an overview of the state of the art in important subjects, including ? besides elliptic and parabolic issues ? geometry, free boundary problems, fluid mechanics, evolution problems in general, calculus of variations, homogenization, control, modeling and numerical analysis.



Elliptic And Parabolic Problems Proceedings Of The 4th European Conference


Elliptic And Parabolic Problems Proceedings Of The 4th European Conference
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Author : Josef Bemelmans
language : en
Publisher: World Scientific
Release Date : 2002-08-06

Elliptic And Parabolic Problems Proceedings Of The 4th European Conference written by Josef Bemelmans and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08-06 with Mathematics categories.


This book provides an overview of the state of the art in important subjects, including — besides elliptic and parabolic issues — geometry, free boundary problems, fluid mechanics, evolution problems in general, calculus of variations, homogenization, control, modeling and numerical analysis.



Recent Progress On Reaction Diffusion Systems And Viscosity Solutions


Recent Progress On Reaction Diffusion Systems And Viscosity Solutions
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Author : Yihong Du
language : en
Publisher: World Scientific
Release Date : 2009-03-12

Recent Progress On Reaction Diffusion Systems And Viscosity Solutions written by Yihong Du and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-12 with Mathematics categories.


This book consists of survey and research articles expanding on the theme of the “International Conference on Reaction-Diffusion Systems and Viscosity Solutions”, held at Providence University, Taiwan, during January 3-6, 2007. It is a carefully selected collection of articles representing the recent progress of some important areas of nonlinear partial differential equations. The book is aimed for researchers and postgraduate students who want to learn about or follow some of the current research topics in nonlinear partial differential equations. The contributors consist of international experts and some participants of the conference, including Nils Ackermann (Mexico), Chao-Nien Chen (Taiwan), Yihong Du (Australia), Alberto Farina (France), Hitoshi Ishii (Japan), N Ishimura (Japan), Shigeaki Koike (Japan), Chu-Pin Lo (Taiwan), Peter Polacik (USA), Kunimochi Sakamoto (Japan), Richard Tsai (USA), Mingxin Wang (China), Yoshio Yamada (Japan), Eiji Yanagida (Japan), and Xiao-Qiang Zhao (Canada).



Infinite Dimensional Dynamical Systems In Mechanics And Physics


Infinite Dimensional Dynamical Systems In Mechanics And Physics
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Author : Roger Temam
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-11

Infinite Dimensional Dynamical Systems In Mechanics And Physics written by Roger Temam and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-11 with Mathematics categories.


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.



Handbook Of Differential Equations Stationary Partial Differential Equations


Handbook Of Differential Equations Stationary Partial Differential Equations
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Author : Michel Chipot
language : en
Publisher: Elsevier
Release Date : 2011-08-11

Handbook Of Differential Equations Stationary Partial Differential Equations written by Michel Chipot and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-11 with Mathematics categories.


This handbook is the sixth and last volume in the series devoted to stationary partial differential equations. The topics covered by this volume include in particular domain perturbations for boundary value problems, singular solutions of semilinear elliptic problems, positive solutions to elliptic equations on unbounded domains, symmetry of solutions, stationary compressible Navier-Stokes equation, Lotka-Volterra systems with cross-diffusion, and fixed point theory for elliptic boundary value problems.* Collection of self-contained, state-of-the-art surveys* Written by well-known experts in the field* Informs and updates on all the latest developments



The Mathematics Of Diffusion


The Mathematics Of Diffusion
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Author : Wei-Ming Ni
language : en
Publisher: SIAM
Release Date : 2011-01-01

The Mathematics Of Diffusion written by Wei-Ming Ni and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-01 with Mathematics categories.


Diffusion has been used extensively in many scientific disciplines to model a wide variety of phenomena. The Mathematics of Diffusion focuses on the qualitative properties of solutions to nonlinear elliptic and parabolic equations and systems in connection with domain geometry, various boundary conditions, the mechanism of different diffusion rates, and the interaction between diffusion and spatial heterogeneity. The book systematically explores the interplay between different diffusion rates from the viewpoint of pattern formation, particularly Turing's diffusion-driven instability in both homogeneous and heterogeneous environments, and the roles of random diffusion, directed movements, and spatial heterogeneity in the classical Lotka-Volterra competition systems. Interspersed throughout the book are many simple, fundamental, and important open problems for readers to investigate.