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Lecture Notes in Mathematics

Stochastic Porous Media Equations

Authors: Barbu, Viorel, Da Prato, Giuseppe, Röckner, Michael

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  • This is the first book on stochastic porous media equations
  • Concentrates on essential points, including existence, uniqueness, ergodicity and finite time extinction results
  • Presents the state of the art of the subject in a concise, but reasonably self-contained way
  • Includes both the slow and fast diffusion case, but also the critical case, modeling self-organized criticality
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eBook $44.99
price for USA in USD (gross)
  • ISBN 978-3-319-41069-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
  • ISBN 978-3-319-41068-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Reviews

“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)

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-3-319-41069-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
  • ISBN 978-3-319-41068-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Stochastic Porous Media Equations
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2163
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-41069-2
DOI
10.1007/978-3-319-41069-2
Softcover ISBN
978-3-319-41068-5
Series ISSN
0075-8434
Edition Number
1
Number of Pages
IX, 202
Topics