03104nam a2200493 i 4500991003554969707536m o d cr cn ---mpcbr181009s2016 sz | ob 001 0 eng d978331941068510.1007/978-3-319-41069-2doib14351390-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng519.223AMS 60H15AMS 35K57AMS 35R60AMS 76S05LC QA274-274.9Barbu, Viorel13745Stochastic Porous Media Equations[e-book] /by Viorel Barbu, Giuseppe Da Prato, Michael RöcknerCham :Springer International Publishing,20161 online resource (ix, 202 p.)texttxtrdacontentcomputercrdamediaonline resourcecrrdacarriertext filePDFrdaLecture Notes in Mathematics,0075-8434 ;2163Includes bibliographical references and indexForeword ; 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 ; IndexFocusing 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 biologyDifferential equations, PartialProbabilitiesFluidsDa Prato, Giuseppeauthorhttp://id.loc.gov/vocabulary/relators/aut314271Röckner, MichaelSpringer eBooksPrinted edition:9783319410685https://link.springer.com/book/10.1007/978-3-319-41069-2An electronic book accessible through the World Wide Web.b1435139003-03-2209-10-18991003554969707536Stochastic Porous Media Equations1749134UNISALENTOle01309-10-18m@ -engsz 00