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Volume 2: Reaction-Diffusion Equations
Authors: Vitaly Volpert
Offers a systematic investigation of reaction-diffusion equations including existence, stability and bifurcations of solutions
Presents numerous examples and applications from population dynamics, chemical physics, biomedical models
Sequel to successful first volume
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.
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原版 PDF：
Elliptic Partial Differential Equations, Volume 2_Reaction-Diffusion Equations.pdf
(8.64 MB, 需要: 18 个论坛币)
PDF 压缩包：
Elliptic Partial Differential Equations, Volume 2_Reaction-Diffusion Equations.zip
(7.84 MB, 需要: 18 个论坛币)
本附件包括：- Elliptic Partial Differential Equations, Volume 2_Reaction-Diffusion Equations.pdf
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