Strong solution of the stochastic Burgers equation

被引：13
|
作者：
Catuogno, P. [1 ]
Olivera, C. [1 ]
机构：
[1] Univ Estadual Campinas, Dept Matemat, BR-13081970 Campinas, SP, Brazil
来源：
APPLICABLE ANALYSIS | 2014年 / 93卷 / 03期
基金：
巴西圣保罗研究基金会;
关键词：
generalized stochastic processes; generalized functions; stochastic partial differential equations; stochastic Burgers equation; Colombeau algebras; HEAT-EQUATION;
D O I：
10.1080/00036811.2013.797074
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work introduces a pathwise notion of solution for the stochastic Burgers equation, in particular, our approach encompasses the Cole-Hopf solution. The developments are based on regularization arguments from the theory of distributions.
引用
收藏
页码：646 / 652
页数：7
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