On the weak convergence of fluxes to a flux

被引：9

作者：

Zhikov, V. V. ^{[1
]}

机构：

[1] Vladimir State Humanitarian Univ, Vladimir 600024, Russia

来源：

DOKLADY MATHEMATICS | 2010年 / 81卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

Euler Equation; Dirichlet Problem; Weak Convergence; Integral Identity; Energy Inequality;

D O I：

10.1134/S1064562410010175

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A study was conducted to extract the technique for passage to the limit in nonlinear terms from the context of particular problems and presented in the general form. This technique consisted of three components, such as the lower semicontinuity of monotone operators, considerations from measure theory, and the principle of compensated compactness. The study also investigated the situation of the weak convergence. Passage to the limit in elliptic equations were also understood in the sense of distributions in Ω.

引用

页码：58 / 62

页数：5

共 10 条

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