ERGODICITY FOR STOCHASTIC POROUS MEDIA EQUATIONS WITH MULTIPLICATIVE NOISE

被引：14
作者：
Dareiotis, Konstantinos [1 ]
Gess, Benjamin [2 ,3 ]
Tsatsoulis, Pavlos [2 ]
机构：
[1] Univ Leeds, Sch Math, Leeds LS2 9JT, W Yorkshire, England
[2] Max Planck Inst Math Nat Wissensch, D-04103 Leipzig, Germany
[3] Univ Bielefeld, Fac Math, D-33615 Bielefeld, Germany
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2020年 / 52卷 / 05期
关键词：
stochastic porous media; entropy solutions; invariant measures; optimal mixing rates; RANDOM ATTRACTORS; DIFFUSION; EXISTENCE;
D O I：
10.1137/19M1278521
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The long time behavior of solutions to stochastic porous media equations with nonlinear multiplicative noise on bounded domains with Dirichlet boundary data is studied. Based on weighted L-1-estimates, the existence and uniqueness of invariant measures with optimal bounds on the rate of mixing are proved. Along the way, the existence and uniqueness of entropy solutions are shown.
引用
收藏
页码：4524 / 4564
页数：41
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