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Stochastic porous media equations

Barbu, Viorel.

Stochastic porous media equations

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Stochastic porous media equationsby Viorel Barbu, Giuseppe Da Prato, Michael Rockner.
作者:	Barbu, Viorel.
其他作者:	Da Prato, Giuseppe.
出版者:	Cham :Springer International Publishing :2016.
面頁冊數:	ix, 202 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Stochastic processes.
電子資源:	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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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.
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650 2 4 $a Fluid- and Aerodynamics. $3 376797
700 1 $a Da Prato, Giuseppe. $3 209307
700 1 $a Rockner, Michael. $3 467786
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