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Stochastic Porous Media Equations

Stochastic Porous Media Equations

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Part of the Lecture Notes in Mathematics series

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Stochastic Porous Media Equations Synopsis

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.

About This Edition

ISBN: 9783319410685
Publication date:
Author: Viorel Barbu, Giuseppe Da Prato, Michael Röckner
Publisher: Springer an imprint of Springer International Publishing
Format: Paperback
Pagination: 202 pages
Series: Lecture Notes in Mathematics
Genres: Probability and statistics
Stochastics
Differential calculus and equations
Classical mechanics

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