Stochastic Porous Media Equation and Self-Organized Criticality
Probability
2018-06-18 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
The existence and uniqueness of nonnegative strong solutions for stochastic porous media equations with noncoercive monotone diffusivity function and Wiener forcing term is proven. The finite time extinction of solutions with high probability is also proven in 1-D. The results are relevant for self-organized critical behaviour of stochastic nonlinear diffusion equations with critical states.
Keywords
Cite
@article{arxiv.0801.2478,
title = {Stochastic Porous Media Equation and Self-Organized Criticality},
author = {Viorel Barbu and Giuseppe Da Prato and Michael Röckner},
journal= {arXiv preprint arXiv:0801.2478},
year = {2018}
}
Comments
29 pages, BiBoS-Preprint No. 07-11-268