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portada Transport Equations in Biology (Frontiers in Mathematics)
Type
Physical Book
Publisher
Year
2006
Language
English
Pages
198
Format
Paperback
ISBN
3764378417
ISBN13
9783764378417
Edition No.
2007

Transport Equations in Biology (Frontiers in Mathematics)

Benoît Perthame (Author) · Birkhäuser · Paperback

Transport Equations in Biology (Frontiers in Mathematics) - Benoît Perthame

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Synopsis "Transport Equations in Biology (Frontiers in Mathematics) "

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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