Elliptic Partial Differential Equations: Volume 2: Reaction-Diffusion Equations (Monographs in Mathematics, 104, Band 2) - Hardcover

Buch 21 von 29: Monographs in Mathematics

Volpert, Vitaly

 
9783034808125: Elliptic Partial Differential Equations: Volume 2: Reaction-Diffusion Equations (Monographs in Mathematics, 104, Band 2)
Hardcover
ISBN 10: 3034808127 ISBN 13: 9783034808125
Verlag: Birkhäuser, 2014

Inhaltsangabe

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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Über die Autorin bzw. den Autor

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.

Von der hinteren Coverseite

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.

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Verlag
Birkhäuser
Erscheinungsdatum
2014
Sprache
Englisch
ISBN 10 
3034808127
ISBN 13 
9783034808125
Einband
Gebundene Ausgabe
Anzahl der Seiten
802
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

Lengericher Landstr. 19
Osnabrück
Niedersachsen
49078
Deutschland

Weitere beliebte Ausgaben desselben Titels

9783034808149: Elliptic Partial Differential Equations: Volume 2: Reaction-Diffusion Equations

Vorgestellte Ausgabe

ISBN 10:  3034808143 ISBN 13:  9783034808149
Verlag: Birkhäuser, 2014
Softcover