Stochastic Porous Media Equations
Focusing on shastic porous media equations, this book places an emphasis on existence theorems, asymptotic behavior and ergodic properties of the associated transition semigroup. Shastic 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.
1123817445
Stochastic Porous Media Equations
Focusing on shastic porous media equations, this book places an emphasis on existence theorems, asymptotic behavior and ergodic properties of the associated transition semigroup. Shastic 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.
59.99 In Stock
Stochastic Porous Media Equations

Stochastic Porous Media Equations

Stochastic Porous Media Equations

Stochastic Porous Media Equations

Paperback(1st ed. 2016)

$59.99 
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Overview

Focusing on shastic porous media equations, this book places an emphasis on existence theorems, asymptotic behavior and ergodic properties of the associated transition semigroup. Shastic 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.

Product Details

ISBN-13: 9783319410685
Publisher: Springer International Publishing
Publication date: 11/01/2016
Series: Lecture Notes in Mathematics , #2163
Edition description: 1st ed. 2016
Pages: 202
Product dimensions: 6.10(w) x 9.25(h) x (d)

Table of Contents

Foreword.- Preface.- Introduction.- Equations with Lipschitz nonlinearities.- Equations with maximal monotone nonlinearities.- Variational approach to shastic porous media equations.- L1-based approach to existence theory for shastic porous media equations.- The shastic porous media equations in Rd.- Transition semigroups and ergodicity of invariant measures.- Kolmogorov equations.- A Two analytical inequalities.- Bibliography.- Glossary.- Translator’s note.- Index.
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