Stochastic Porous Media Equations

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Lecture Notes in Mathematics 2163

ISBN: 3319410687
ISBN 13: 9783319410685
Autor: Barbu, Viorel/Da Prato, Giuseppe/Röckner, Michael
Verlag: Springer Verlag GmbH
Umfang: ix, 202 S.
Erscheinungsdatum: 01.10.2016
Auflage: 1/2017
Produktform: Kartoniert
Einband: KT

Focusing on stochastic porous media equations, this book places an emphasis on existence theorems, asymptotic behavior and ergodic properties of the associated transition semigroup. Stochastic perturbations of the porous media equation have reviously been considered by physicists, but rigorous mathematical existence results have only recently been found. The porous media equation models a number of different physical phenomena, including the flow of an ideal gas and the diffusion of a compressible fluid through porous media, and also thermal propagation in plasma and plasma radiation. Another important application is to a model of the standard self-organized criticality process, called the „sand-pile model“ or the „Bak-Tang-Wiesenfeld model“. The book will be of interest to PhD students and researchers in mathematics, physics and biology.

Artikelnummer: 9416512 Kategorie:

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