TY  - BOOK
AU  - Barbu,Viorel
AU  - Da Prato,Giuseppe
AU  - Röckner,Michael
ED  - SpringerLink (Online service)
TI  - Stochastic Porous Media Equations
T2  - Lecture Notes in Mathematics,
SN  - 9783319410692
AV  - QA273.A1-274.9 
U1  - 519.2 23
PY  - 2016///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Probabilities
KW  - Partial differential equations
KW  - Fluids
KW  - Probability Theory and Stochastic Processes
KW  - Partial Differential Equations
KW  - Fluid- and Aerodynamics
N1  - 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
N2  - 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
UR  - https://doi.org/10.1007/978-3-319-41069-2
ER  -