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Elliptic Partial Differential Equations: Volume 2: Reaction-Diffusion Equations (Monographs in Mathematics Book 104) 🔍
Vitaly Volpert (auth.) Birkhäuser Basel, Monographs in Mathematics, Monographs in mathematics 104, 1, 2014
英语 [en] · PDF · 9.1MB · 2014 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/scihub/upload/zlib · Save
描述
If we had to formulate in one sentence what this book is about, it might be "How partial differential equations can help to understand heat explosion, tumor growth or evolution of biological species". These and many other applications are described by reaction-diffusion equations. The theory of reaction-diffusion equations appeared in the first half of the last century. In the present time, it is widely used in population dynamics, chemical physics, biomedical modelling. The purpose of this book is to present the mathematical theory of reaction-diffusion equations in the context of their numerous applications. We will go from the general mathematical theory to specific equations and then to their applications. Existence, stability and bifurcations of solutions will be studied for bounded domains and in the case of travelling waves. The classical theory of reaction-diffusion equations and new topics such as nonlocal equations and multi-scale models in biology will be considered.
Erscheinungsdatum: 20.05.2014
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备用文件名
lgrsnf/G:\!genesis\1\!!!new\SPR_NEW_2014-01\bok%3A978-3-0348-0813-2.pdf
备用文件名
nexusstc/Elliptic Partial Differential Equations: Volume 2: Reaction-Diffusion Equations/606966013262623778c8a4cadb314318.pdf
备用文件名
scihub/10.1007/978-3-0348-0813-2.pdf
备用文件名
zlib/Science (General)/Vitaly Volpert (auth.)/Elliptic Partial Differential Equations: Volume 2: Reaction-Diffusion Equations_2348304.pdf
备选标题
Elliptic Partial Differential Equations Vol. 2: Volume 2: Reaction-Diffusion Equations
备选作者
Vitaly A Volpert
备选作者
Volpert, Vitaly
备用出版商
Springer Nature Switzerland AG
备用出版商
Springer Basel AG
备用出版商
Birkhauser Verlag
备用版本
Monographs in mathematics, Basel, 2014
备用版本
Monographs in mathematics, Basel, 2011
备用版本
Springer Nature, Basel, 2011
备用版本
Switzerland, Switzerland
元数据中的注释
sm23374336
元数据中的注释
producers:
Adobe InDesign CS6 (Windows)
元数据中的注释
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备用描述
If we had to formulate in one sentence what this book is about it might be "How partial differential equations can help to understand heat explosion, tumor growth or evolution of biological species". These and many other applications are described by reaction-diffusion equations. The theory of reaction-diffusion equations appeared in the first half of the last century. In the present time, it is widely used in population dynamics, chemical physics, biomedical modelling. The purpose of this book is to present the mathematical theory of reaction-diffusion equations in the context of their numerous applications. We will go from the general mathematical theory to specific equations and then to their applications. Mathematical anaylsis of reaction-diffusion equations will be based on the theory of Fredholm operators presented in the first volume. Existence, stability and bifurcations of solutions will be studied for bounded domains and in the case of travelling waves. The classical theory of reaction-diffusion equations and new topics such as nonlocal equations and multi-scale models in biology will be considered
备用描述
Front Matter....Pages i-xviii
Front Matter....Pages 1-1
Reaction-diffusion Processes, Models and Applications....Pages 3-78
Methods of Analysis....Pages 79-121
Reaction-diffusion Problems in Bounded Domains....Pages 123-200
Reaction-diffusion Problems on the Whole Axis....Pages 201-324
Front Matter....Pages 325-326
Monotone Systems....Pages 327-390
Reaction-diffusion Problems with Convection....Pages 391-451
Reaction-diffusion Systems with Different Transport Coefficients....Pages 453-490
Nonlinear Boundary Conditions....Pages 491-517
Front Matter....Pages 519-519
Nonlocal Reaction-diffusion Equations....Pages 521-626
Multi-scale Models in Biology....Pages 627-696
Back Matter....Pages 697-784
备用描述
This book offers a systematic investigation of reaction-diffusion equations including existence, stability and bifurcations of solutions. It presents numerous examples and applications from population dynamics, chemical physics and biomedical models
备用描述
V. 1. Fredholm Theory Of Elliptic Problems In Unbounded Domains -- V. 2. Reaction-diffusion Equations Vitaly Volpert. Includes Bibliographical References And Index.
开源日期
2014-06-12
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