Finite time extinction for stochastic sign fast diffusion and self-organized criticality

DOI10.1007/s00220-014-2225-4zbMath1395.60072arXiv1310.6971OpenAlexW1988859977MaRDI QIDQ2260716

Benjamin Gess

Publication date: 11 March 2015

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.6971

zbMATH Keywords

self-organized criticalityfinite time extinctionBak-Tang-Wiesenfeld modellinear multiplicative space-time noisestochastic sign fast diffusion equations

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (13)

Singular-Degenerate Multivalued Stochastic Fast Diffusion Equations ⋮ Path-by-path well-posedness of nonlinear diffusion equations with multiplicative noise ⋮ Existence and uniqueness of the solution for stochastic super-fast diffusion equations with multiplicative noise ⋮ On a discrete self-organized-criticality finite time result ⋮ Ergodicity for singular-degenerate stochastic porous media equations ⋮ Nonnegativity preserving convergent schemes for stochastic porous-medium equations ⋮ Ergodicity for Stochastic Porous Media Equations with Multiplicative Noise ⋮ Total variation flow perturbed by gradient linear multiplicative noise ⋮ Finite-Time Self-Organized-Criticality on Synchronized Infinite Grids ⋮ Well-posedness of SVI solutions to singular-degenerate stochastic porous media equations arising in self-organized criticality ⋮ Asymptotic couplings by reflection and applications for nonlinear monotone SPDEs ⋮ Finite time extinction for the 1D stochastic porous medium equation with transport noise ⋮ Stochastic porous media equations with divergence Itô noise

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