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Elliptic Partial Differential Equations: Volume 2: Reaction-Diffusion Equations: 104 (Monographs in Mathematics) - Tapa dura
Sinopsis
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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Acerca del 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.
De la contraportada
<p>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.</p>
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- EditorialBirkhäuser
- Año de publicación2014
- ISBN 10 3034808127
- ISBN 13 9783034808125
- EncuadernaciónTapa dura
- IdiomaInglés
- Número de páginas804
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Elliptic Partial Differential Equations: Volume 2: Reaction-Diffusion Equations (Monographs in Mathematics, 104)
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Elliptic Partial Differential Equations: Volume 2: Reaction-Diffusion Equations (Monographs In Mathematics)
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Elliptic Partial Differential Equations: Volume 2: Reaction-Diffusion Equations (Monographs In Mathematics)
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Elliptic Partial Differential Equations
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Elliptic Partial Differential Equations
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Elliptic Partial Differential Equations
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Offers a systematic investigation of reaction-diffusion equations including existence, stability and bifurcations of solutionsPresents numerous examples and applications from population dynamics, chemical physics, biomedical modelsSequel to. Nº de ref. del artículo: 4318383
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Elliptic Partial Differential Equations
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Elliptic Partial Differential Equations
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Springer Basel Mai 2014, 2014
ISBN 10: 3034808127
ISBN 13: 9783034808125
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 804 pp. Englisch. Nº de ref. del artículo: 9783034808125
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Elliptic Partial Differential Equations : Volume 2: Reaction-Diffusion Equations
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Nº de ref. del artículo: 9783034808125
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Elliptic Partial Differential Equations: Volume 2: Reaction-Diffusion Equations (Monographs in Mathematics, 104)
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