| Elliptic Partial Differential Equations: Volume 2: Reaction-Diffusion Equations 2014 Edition Contributor(s): Volpert, Vitaly (Author) |
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ISBN: 3034808127 ISBN-13: 9783034808125 Publisher: Birkhauser OUR PRICE: $189.99 Product Type: Hardcover - Other Formats Published: May 2014 |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - Partial |
| Dewey: 515.353 |
| Series: Monographs in Mathematics |
| Physical Information: 1.8" H x 6.2" W x 9.2" (2.75 lbs) 784 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |