Name: Smoothing and Decay Estimates for Nonlinear Diffusion Equations: Equations of Porous Medium Type (en Inglés)
Price: 697.33 PEN
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Author: Juan Luis VÁZquez
ISBN: 9780199202973

portada Smoothing and Decay Estimates for Nonlinear Diffusion Equations: Equations of Porous Medium Type (en Inglés)

Formato

Libro Físico

Editorial

Oxford University Press

Autor

Juan Luis VÁZquez

Año

2006

Idioma

Inglés

N° páginas

234

Encuadernación

Tapa Dura

ISBN

0199202974

ISBN13

9780199202973

Categorías

Matemáticas aplicadas

Smoothing and Decay Estimates for Nonlinear Diffusion Equations: Equations of Porous Medium Type (en Inglés)

Juan Luis VÁZquez (Autor) · Oxford University Press · Tapa Dura

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Reseña del libro "Smoothing and Decay Estimates for Nonlinear Diffusion Equations: Equations of Porous Medium Type (en Inglés)"

This text is concerned with the quantitative aspects of the theory of nonlinear diffusion equations; equations which can be seen as nonlinear variations of the classical heat equation. They appear as mathematical models in different branches of Physics, Chemistry, Biology, and Engineering, and are also relevant in differential geometry and relativistic physics. Much of the modern theory of such equations is based on estimates and functional analysis.Concentrating on a class of equations with nonlinearities of power type that lead to degenerate or singular parabolicity ("equations of porous medium type"), the aim of this text is to obtain sharp a priori estimates and decay rates for general classes of solutions in terms of estimates of particular problems. These estimates are the building blocks in understanding the qualitative theory, and the decay rates pave the way to the fine study of asymptotics. Many technically relevant questions are presented and analyzed in detail. A systematic picture of the most relevant phenomena is obtained for the equations under study, including time decay, smoothing, extinction in finite time, and delayed regularity.