A degenerate parabolic-hyperbolic Cauchy problem with a stochastic force

被引：31
|
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
收藏
页码：501 / 533
页数：33
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