Transport equations in biology
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 propertie...
Enregistré dans:
| Auteur principal: | |
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| Format: | Livre papier |
| Langue: | Anglais |
| Publié: |
Basel [etc.] :
Birkhäuser
C 2007.
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| Collection: | Frontiers in mathematics
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| Sujets: | |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Transport Equations in Biology, Benoît Perthame, 1st ed. 2007., 20XX, Basel, Birkhäuser Basel, Frontiers in Mathematics, 978-3-7643-7842-4 |
| Résumé: | 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. |
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| Description matérielle: | 1 volume (VIII-198 pages) : illustrations en noir et blanc, figures, couverture illustrée ; 24 cm. |
| Bibliographie: | Bibliographie pages [179]-194. Index |
| ISBN: | 9783764378417 (broché) 3764378417 (broché) |