Stochastic Porous Media Equations

Nonfiction, Science & Nature, Mathematics, Differential Equations, Statistics
Cover of the book Stochastic Porous Media Equations by Viorel Barbu, Giuseppe Da Prato, Michael Röckner, Springer International Publishing
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Author: Viorel Barbu, Giuseppe Da Prato, Michael Röckner ISBN: 9783319410692
Publisher: Springer International Publishing Publication: September 30, 2016
Imprint: Springer Language: English
Author: Viorel Barbu, Giuseppe Da Prato, Michael Röckner
ISBN: 9783319410692
Publisher: Springer International Publishing
Publication: September 30, 2016
Imprint: Springer
Language: English

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.

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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.

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