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Elliptic Partial Differential Equations on Hardback by Vitaly Volpert
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Elliptic Partial Differential Equations

Volume 2: Reaction-Diffusion Equations
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Description

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.

Author Biography:

Vitaly Volpert started his scientific career in Russia and continued it in the USA and in France. He works on partial differential equations and on mathematical modelling in chemical physics, biology and medicine. He is an author of more than 200 scientific publications including three monographs.
Release date NZ
May 20th, 2014
Audience
  • Professional & Vocational
Illustrations
17 Illustrations, color; 27 Illustrations, black and white; XVIII, 784 p. 44 illus., 17 illus. in color.
Pages
784
Dimensions
155x235x46
ISBN-13
9783034808125
Product ID
21763933

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