Elliptic Partial Differential Equations : Volume 2: Reaction-Diffusion Equations
- 種類:
- 電子ブック
- 責任表示:
- by Vitaly Volpert
- 出版情報:
- Basel : Springer Basel : Imprint: Birkhäuser, 2014
- 著者名:
- シリーズ名:
- Monographs in Mathematics ; 104
- ISBN:
- 9783034808132 [3034808135]
- 注記:
- 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 equ
- ローカル注記:
- 学内専用E-BOOKS (local access only)
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