BURGERS' EQUATION WITH A FILTERED VELOCITY

被引：0

作者：

Risebro, Nils Henrik ^{[1
]}

Weber, Franziska ^{[1
]}

机构：

[1] Univ Oslo, CMA, POB 1053 Blindern, N-0316 Oslo, Norway

来源：

HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS | 2014年 / 8卷

关键词：

Conservation laws; averaged variables; Leray-alpha model; nonlocal partial differential equation; Burgers equation; convergence;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The properties of the solution to the convectively filtered Burgers' equation, a regularization of Burgers' equation with the convective velocity replaced by a nonlocal averaged velocity, are examined. It is found that the limit of solutions, as the regularizing parameter a goes to zero, does not satisfy an entropy inequality owing to the reversibility of the equation and the absence of an L-1-contraction estimate for the limit of solutions.

引用

页码：1031 / 1038

页数：8

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