广义耗散韦斯特韦尔特方程局部守恒定律的完整描述

IF 1.9 3区数学 Q1 MATHEMATICS

Qualitative Theory of Dynamical Systems Pub Date : 2024-06-04 DOI:10.1007/s12346-024-01066-0

Artur Sergyeyev

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引用次数: 0

摘要

我们完整地描述了耗散韦斯特韦尔特方程自然广义化的所有阶次的不等价非微分局部守恒定律，并特别表明，在两个以上独立变量的情况下，所研究的方程存在无数个不等价非微分局部守恒定律。

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Complete Description of Local Conservation Laws for Generalized Dissipative Westervelt Equation

We give a complete description of inequivalent nontrivial local conservation laws of all orders for a natural generalization of the dissipative Westervelt equation and, in particular, show that the equation under study admits an infinite number of inequivalent nontrivial local conservation laws for the case of more than two independent variables.

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来源期刊

Qualitative Theory of Dynamical Systems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

14.30%

发文量

130

期刊介绍： Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. The journal is not interested in numerical results, except if these illustrate theoretical results previously proved.