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.
