Kniha Elliptic Partial Differential Equations Vitaly Volpert

Elliptic Partial Differential Equations

Volume 2: Reaction-Diffusion Equations

Jazyk: Angličtina
Vazba: Pevná
Vydavatel: Springer Basel
Dostupnost: Skladem u dodavatele
Odesíláme za 10-13 dnů
3 882
If we had to formulate in one sentence what this book is about, it might be "How partial differentia...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2014
Stránek
784
EAN
9783034808125
ISBN
3034808127
Enbook ID
02207120
Vydavatel
Hmotnost
1318
Rozměry
162 x 241 x 47

Kompletní popis

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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