Stochastic Porous Media Equations

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 mathe...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Barbu, Viorel (Author), Da Prato, Giuseppe (Author), Röckner, Michael (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:Lecture Notes in Mathematics, 2163
Subjects:
Probabilities.
Differential equations.
Continuum mechanics.
Probability Theory.
Differential Equations.
Continuum Mechanics.
Online Access:Texto Completo
Description
Summary: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.
Physical Description:IX, 202 p. online resource.
ISBN:9783319410692
ISSN:1617-9692 ;

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