Stochastic Porous Media Equations
Springer International Publishing (Verlag)
978-3-319-41068-5 (ISBN)
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.
Foreword.- Preface.- Introduction.- Equations with Lipschitz nonlinearities.- Equations with maximal monotone nonlinearities.- Variational approach to stochastic porous media equations.- L1-based approach to existence theory for stochastic porous media equations.- The stochastic porous media equations in Rd.- Transition semigroups and ergodicity of invariant measures.- Kolmogorov equations.- A Two analytical inequalities.- Bibliography.- Glossary.- Translator's note.- Index.
"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)
“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)
| Erscheinungsdatum | 04.11.2016 |
|---|---|
| Reihe/Serie | Lecture Notes in Mathematics |
| Zusatzinfo | IX, 202 p. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 354 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik |
| Schlagworte | fluid- and aerodynamics • gaussian noise • mathematics and statistics • Partial differential equations • Porous Media Equations • Primary: 60H15, 35K55, Secondary: 76S99, 76M30, 76 • Primary: 60H15, 35K55, Secondary: 76S99, 76M30, 76M35 • Probability theory and stochastic processes • Self organizing criticality • Stochastic PDEs • Stochastic Processes |
| ISBN-10 | 3-319-41068-7 / 3319410687 |
| ISBN-13 | 978-3-319-41068-5 / 9783319410685 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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