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MARC 21

Stochastic Porous Media Equations
Tag	Description
020	$a9783319410692$9978-3-319-41069-2
082	$a519.2$223
099	$aOnline resource: Springer
100	$aBarbu, Viorel.
245	$aStochastic Porous Media Equations$h[EBook]$cby Viorel Barbu, Giuseppe Da Prato, Michael Röckner.
260	$aCham :$bSpringer International Publishing :$bImprint: Springer,$c2016.
300	$aIX, 202 p.$bonline resource.
336	$atext$btxt$2rdacontent
337	$acomputer$bc$2rdamedia
338	$aonline resource$bcr$2rdacarrier
440	$aLecture Notes in Mathematics,$x0075-8434 ;$v2163
505	$aForeword -- 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	$aFocusing 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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
700	$aDa Prato, Giuseppe.$eauthor.
700	$aRöckner, Michael.$eauthor.
710	$aSpringerLink (Online service)
830	$aLecture Notes in Mathematics,$x0075-8434 ;$v2163
856	$uhttp://dx.doi.org/10.1007/978-3-319-41069-2