ebook9783319410692d4325

Description

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.