Stochastic porous media equations and self-organized criticality: Convergence to the critical state in all dimensions
From MaRDI portal
Publication:2428489
DOI10.1007/s00220-012-1429-8zbMath1238.60071arXiv1102.3593OpenAlexW1963797095MaRDI QIDQ2428489
Viorel Barbu, Michael Roeckner
Publication date: 26 April 2012
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1102.3593
Flows in porous media; filtration; seepage (76S05) Stochastic analysis applied to problems in fluid mechanics (76M35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)
Related Items
Large deviation principle of occupation measures for non-linear monotone SPDEs ⋮ Random attractors for singular stochastic evolution equations ⋮ Singular-Degenerate Multivalued Stochastic Fast Diffusion Equations ⋮ Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise ⋮ Finite time extinction of solutions to fast diffusion equations driven by linear multiplicative noise ⋮ Finite-Time Self-Organized-Criticality on Synchronized Infinite Grids ⋮ Stochastic porous media equations in \(\mathbb R^d\) ⋮ Finite time extinction for stochastic sign fast diffusion and self-organized criticality ⋮ Existence and asymptotic behavior for hereditary stochastic evolution equations ⋮ Self-organized criticality of cellular automata model; absorbtion in finite-time of supercritical region into the critical one
Cites Work
- Unnamed Item
- Stochastic porous media equations and self-organized criticality
- Non-monotone stochastic generalized porous media equations
- Existence of strong solutions for stochastic porous media equation under general monotonicity conditions
- Self-organized criticality
- Smoothness of weak solutions to a nonlinear fluid-structure interaction model
