Stochastic Porous Media Equations (Lecture Notes in Mathematics, 2163)
Language: English
Published by Springer, 2016
- Softcover
- New
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- Title
- Stochastic Porous Media Equations (Lecture Notes in Mathematics, 2163)
- Author
- Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael
- Publisher
- Springer
- Publication year
- 2016
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 3319410687
- ISBN 13
- 9783319410685
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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
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