Overview
- 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
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2163)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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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Authors and Affiliations
Bibliographic Information
Book Title: Stochastic Porous Media Equations
Authors: Viorel Barbu, Giuseppe Da Prato, Michael Röckner
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-41069-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Softcover ISBN: 978-3-319-41068-5Published: 01 October 2016
eBook ISBN: 978-3-319-41069-2Published: 30 September 2016
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: IX, 202
Topics: Probability Theory and Stochastic Processes, Partial Differential Equations, Fluid- and Aerodynamics