Stochastic Porous Media Equations

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 mathe...

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Detalles Bibliográficos
Autor principal: Barbu, Viorel (-)
Autor Corporativo: SpringerLink (-)
Otros Autores: Da Prato, Giuseppe, Röckner, Michael
Formato: Libro electrónico
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer 2016.
Colección:Lecture Notes in Mathematics, 2163.
Springer eBooks.
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b34530745*spi
Descripción
Sumario: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.
Descripción Física:IX, 202 p.
Formato:Forma de acceso: World Wide Web.
ISBN:9783319410692