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portada Stochastic Porous Media Equations (Lecture Notes in Mathematics)
Type
Physical Book
Publisher
Author
Year
2016
Language
English
Pages
216
Format
Paperback
ISBN13
9783319410685
Edition No.
1
Categories

Stochastic Porous Media Equations (Lecture Notes in Mathematics)

Viorel Barbu; Giuseppe Da Prato; Michael Röckner (Author) · Springer · Paperback

Stochastic Porous Media Equations (Lecture Notes in Mathematics) - Viorel Barbu; Giuseppe Da Prato; Michael Röckner

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Synopsis "Stochastic Porous Media Equations (Lecture Notes in Mathematics) "

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.

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