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应用科学学报 ›› 1995, Vol. 13 ›› Issue (2): 235-241.

• 论文 • 上一篇    下一篇

演化方程的三个基本守恒律

杨灵娥   

  1. 中南工业大学
  • 收稿日期:1993-07-23 出版日期:1995-06-30 发布日期:1995-06-30

THREE BASIC CONSERVATION LAWS OF EVOLUTION EQUATIONS

YANG LING'E   

  1. CentraL South University of Technology
  • Received:1993-07-23 Online:1995-06-30 Published:1995-06-30

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摘要： 证明了一类演化方程至少存在三个守恒律,并具体地给出了这三个守恒律的守恒密度及守恒流量,另外还给出了这些方程的高维、高阶及向量情形的某些推广。

关键词: 守恒密度, 演化方程, 守恒律, 守恒流量

Abstract: This paper gave the existence of at least three conservation laws for a class of evolution equations.The conservative densities and conservative flows of these conservation laws were also given.

Key words: evolution equation, conservative flow, conservation law, conservative density