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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.
Added Personal Name	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)
Internet Site	http://dx.doi.org/10.1007/978-3-319-41069-2
Links to Related Works	Subject References: Fluid- and Aerodynamics . Fluids . Mathematics . Partial differential equations . Probabilities . Probability theory and stochastic processes . Authors: Barbu, Viorel . Da Prato, Giuseppe . Röckner, Michael . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 519.2 .

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Stochastic Porous Media Equations

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