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Stochastic porous media equations

Barbu, Viorel.

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Stochastic porous media equations

Record Type:	Electronic resources : 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.
[NT 15003449]:	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.
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 ;2163..

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:

520663
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 664327
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 520663
650 0 $a Differential equations, Partial. $3 518115
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Probability Theory and Stochastic Processes. $3 891080
650 2 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Fluid- and Aerodynamics. $3 1066670
700 1 $a Da Prato, Giuseppe. $3 625092
700 1 $a Rockner, Michael. $3 905859
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Lecture notes in mathematics ; $v 2163. $3 3135008
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-41069-2
950 $a Mathematics and Statistics (Springer-11649)