Transport Equations in Biology - Couverture souple

Livre 5 sur 48: Frontiers in Mathematics

Perthame, Benoît

 
9783764378417: Transport Equations in Biology

Synopsis

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. It develops appropriate mathematical tools and qualitative properties of the solutions (long time behavior, concentration phenomena, asymptotic behavior, regularizing effects, blow-up or dispersion). The book describes such original mathematical methods as 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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Autres éditions populaires du même titre

9783764391652: Transport Equations in Biology

Edition présentée

ISBN 10 :  3764391650 ISBN 13 :  9783764391652
Editeur : Springer, 2008
Couverture souple