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arXiv · 1909.05161

Ergodicity for singular-degenerate porous media equations

Marius Neuß
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Abstract

The long time behaviour of solutions to generalised stochastic porous media equations on bounded domains with Dirichlet boundary data is studied. We focus on a degenerate form of nonlinearity arising in self-organised criticality. Based on the so-called lower-bound method, the existence and uniqueness of an invariant measure is proved.

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Marius Neuß. 2019-09-11. Ergodicity for singular-degenerate porous media equations. https://arxiv.org/abs/1909.05161

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