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Stochastic Porous Media Equations (Lecture Notes in Mathematics)
Barbu, Viorel, da Prato, Giuseppe, Röckner, Michael
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Description for Stochastic Porous Media Equations (Lecture Notes in Mathematics)
Paperback. Series: Lecture Notes in Mathematics. Num Pages: 211 pages, biography. BIC Classification: PBWL. Category: (G) General (US: Trade). Dimension: 235 x 155 x 12. Weight in Grams: 338.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2016
Publisher
Springer
Condition
New
Series
Lecture Notes in Mathematics
Number of Pages
202
Place of Publication
Cham, Switzerland
ISBN
9783319410685
SKU
V9783319410685
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Stochastic Porous Media Equations (Lecture Notes in Mathematics)
“The authors of the monograph are renowned experts in the field of SPDEs and the book may be of interest not only to SPDE specialists but also to other researchers in mathematics, physics and biology.” (Bohdan Maslowski, Mathematical Reviews, July, 2018)