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Stochastic Porous Media Equations

Stochastic Porous Media Equations
Catalogue Information
Field name Details
Dewey Class 519.2
Title Stochastic Porous Media Equations ([EBook]) / by Viorel Barbu, Giuseppe Da Prato, Michael Röckner.
Author Barbu, Viorel
Added Personal Name Da Prato, Giuseppe author.
Röckner, Michael author.
Other name(s) SpringerLink (Online service)
Publication Cham : : Springer International Publishing : : Imprint: Springer, , 2016.
Physical Details IX, 202 p. : online resource.
Series Lecture Notes in Mathematics 0075-8434 ; ; 2163
ISBN 9783319410692
Summary Note 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.:
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
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