Entropy solutions for stochastic porous media equations Journal Article


Author(s): Dareiotis, Konstantinos A; Gerencsér, Máté; Gess, Benjamin
Article Title: Entropy solutions for stochastic porous media equations
Affiliation IST Austria
Abstract: We provide an entropy formulation for porous medium-type equations with a stochastic, non-linear, spatially inhomogeneous forcing. Well-posedness and L1-contraction is obtained in the class of entropy solutions. Our scope allows for porous medium operators Δ(|u|m−1u) for all m∈(1,∞), and Hölder continuous diffusion nonlinearity with exponent 1/2.
Journal Title: Journal of Differential Equations
ISSN: 00220396
Publisher: Academic Press  
Date Published: 2018-09-21
Start Page: In press
DOI: 10.1016/j.jde.2018.09.012
Open access: no