Generalized solutions of the multidimensional stochastic Burgers equation

被引：2
|
作者：
Catuogno, P. [1 ]
Colombeau, J. F. [2 ]
Olivera, C. [1 ]
机构：
[1] Univ Estadual Campinas, Dept Matemat, Campinas, SP, Brazil
[2] Univ Grenoble, Inst Fourier, Grenoble, France
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 464卷 / 02期
基金：
巴西圣保罗研究基金会;
关键词：
Stochastic Burgers equation; Generalized functions; Multiplication of distributions; Generalized solutions; HEAT-EQUATION; SYSTEMS; TURBULENCE; NOISE;
D O I：
10.1016/j.jmaa.2018.04.060
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a new concept of weak solution for the conservative stochastic Burgers equation in any dimension. The definition is based on weak solution concepts introduced by various authors in order to make sense of equations which do not have solutions in the sense of distributions. In one dimension the solution reduces to the classical distributional solution of the 1-D stochastic Burgers equation. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：1375 / 1382
页数：8
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