Transport equations in biology / Benoît Perthame.
"This book presents models written as partial differential equations and originating from various questions in population biology, such as physiologically structured equations, adaptive dynamics, and bacterial movement. Its purpose is to derive appropriate mathematical tools and qualitative pro...
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| Main Author: | |
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| Format: | Ebook |
| Language: | English |
| Published: |
Basel ; Boston :
Birkhäuser,
2007.
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| Series: | Frontiers in mathematics.
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| Subjects: | |
| Online Access: | Springer eBooks |
| Summary: | "This book presents models written as partial differential equations and originating from various questions in population biology, such as physiologically structured equations, adaptive dynamics, and bacterial movement. Its purpose is to derive appropriate mathematical tools and qualitative properties of the solutions (long time behavior, concentration phenomena, asymptotic behavior, regularizing effects, blow-up or dispersion). Original mathematical methods described are, among others, the generalized relative entropy method - a unique method to tackle most of the problems in population biology, the description of Dirac concentration effects using a new type of Hamilton-Jacobi equations, and a general point of view on chemotaxis including various scales of description leading to kinetic, parabolic or hyperbolic equations."--Jacket. |
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| Physical Description: | 1 online resource (viii, 198 pages) : illustrations. |
| Format: | Mode of access: World Wide Web. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 1280727497 3764378425 9781280727498 9783764378424 |