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Stochastic porous media equations

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Stochastic porous media equations/ by Viorel Barbu, Giuseppe Da Prato, Michael Rockner.
Author:	Barbu, Viorel.
other author:	Da Prato, Giuseppe.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	ix, 202 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Stochastic processes. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-41069-2
ISBN:	9783319410692

Stochastic porous media equations
Barbu, Viorel.

Stochastic porous media equations[electronic resource] /by Viorel Barbu, Giuseppe Da Prato, Michael Rockner. - Cham :Springer International Publishing :2016. - ix, 202 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21630075-8434 ;. - Lecture notes in mathematics ;1943..

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

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.

ISBN: 9783319410692

Standard No.: 10.1007/978-3-319-41069-2doiSubjects--Topical Terms:

528256
Stochastic processes.

LC Class. No.: QA274.2 / .B365 2016

Dewey Class. No.: 519.23

Stochastic porous media equations
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245 1 0 $a Stochastic porous media equations $h [electronic resource] / $c by Viorel Barbu, Giuseppe Da Prato, Michael Rockner.
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300 $a ix, 202 p. : $b ill., digital ; $c 24 cm.
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505 0 $a Foreword -- Preface -- Introduction -- Equations with Lipschitz nonlinearities -- Equations with maximal monotone nonlinearities -- Variational approach to stochastic porous media equations -- L1-based approach to existence theory for stochastic porous media equations -- The stochastic porous media equations in Rd -- Transition semigroups and ergodicity of invariant measures -- Kolmogorov equations -- A Two analytical inequalities -- Bibliography -- Glossary -- Translator's note -- Index.
520 $a 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.
650 0 $a Stochastic processes. $3 528256
650 0 $a Differential equations, Partial. $3 527784
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Probability Theory and Stochastic Processes. $3 593945
650 2 4 $a Partial Differential Equations. $3 671119
650 2 4 $a Fluid- and Aerodynamics. $3 768779
700 1 $a Da Prato, Giuseppe. $3 895395
700 1 $a Rockner, Michael. $3 1069877
710 2 $a SpringerLink (Online service) $3 593884
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830 0 $a Lecture notes in mathematics ; $v 1943. $3 882220
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