A degenerate parabolic-hyperbolic Cauchy problem with a stochastic force

被引：33

作者：

Bauzet, Caroline

Vallet, Guy ^{[1
]}

Wittbold, Petra ^{[2
]}

机构：

[1] CNRS, LMAP, UMR 5142, F-64013 Pau, France

[2] Fak Math, D-45141 Essen, Germany

来源：

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | 2015年 / 12卷 / 03期

关键词：

Stochastic PDE; degenerate parabolic-hyperbolic equation; Cauchy problem; multiplicative stochastic perturbation; Carrillo-Kruzhkov's entropy;

D O I：

10.1142/S0219891615500150

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are interested in the Cauchy problem for a nonlinear degenerate parabolic-hyperbolic problem with multiplicative stochastic forcing. Using an adapted entropy formulation a result of existence and uniqueness of a solution is proven.

引用

页码：501 / 533

页数：33

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