无粘Burgers方程的新守恒定律

IF 2.5 3区数学 Q1 MATHEMATICS, APPLIED

Computational & Applied Mathematics Pub Date : 2012-12-06 DOI:10.1590/S1807-03022012000300007

Igor Leite Freire

引用次数: 23

摘要

本文证明了无粘Burgers方程是非线性自伴随方程。然后，从伊布拉吉莫夫守恒定理出发，得到局部守恒量。数学学科分类:初级:76M60;二级:58 j70。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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New conservation laws for inviscid Burgers equation

In this paper it is shown that the inviscid Burgers equation is nonlinearly self-adjoint. Then, from Ibragimov's theorem on conservation laws, local conserved quantities are obtained. Mathematical subject classification: Primary: 76M60; Secondary: 58J70.

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来源期刊

Computational & Applied Mathematics Mathematics-Computational Mathematics

CiteScore

4.50

自引率

11.50%

发文量

352

审稿时长

>12 weeks

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.