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Stochastic porous media equations

Barbu, Viorel.

Stochastic porous media equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Stochastic porous media equationsby 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$q(electronic bk.)

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 ;2035..

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$q(electronic bk.)

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

181874
Stochastic processes.

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

Dewey Class. No.: 519.23

Stochastic porous media equations
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100 1 $a Barbu, Viorel. $3 485848
245 1 0 $a Stochastic porous media equations $h [electronic resource] / $c by Viorel Barbu, Giuseppe Da Prato, Michael Rockner.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a ix, 202 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2163
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 181874
650 0 $a Differential equations, Partial. $3 189753
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Probability Theory and Stochastic Processes. $3 274061
650 2 4 $a Partial Differential Equations. $3 274075
650 2 4 $a Fluid- and Aerodynamics. $3 376797
700 1 $a Da Prato, Giuseppe. $3 209307
700 1 $a Rockner, Michael. $3 467786
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Lecture notes in mathematics ; $v 2035. $3 557764
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-41069-2
950 $a Mathematics and Statistics (Springer-11649)