Entropy solutions for stochastic porous media equations

DOI10.1016/J.JDE.2018.09.012zbMATH Open1407.35162arXiv1803.06953OpenAlexW2789963522WikidataQ129207353 ScholiaQ129207353MaRDI QIDQ1710554

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Publication date: 22 January 2019

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Abstract: We provide an entropy formulation for porous medium-type equations with a stochastic, non-linear, spatially inhomogeneous forcing. Well - posedness and $L_1$-contraction is obtained in the class of entropy solutions. Our scope allows for porous medium operators $Delta(|u{|}^{m-1}u)$ for all $min(1,infty)$, and H"older continuous diffusion nonlinearity with exponent $1/2$.

Full work available at URL: https://arxiv.org/abs/1803.06953

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Related Items (3)

Weak solutions to stochastic porous media equations ⋮ Finiteness of entropy for granular media equations ⋮ Nonnegativity preserving convergent schemes for stochastic porous-medium equations

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