关于一维双曲方程组解的爆破机制探讨
On the Blasting Mechanism of One-Dimensional Hyperbolic Equations
马旭 1屈书婷1
作者信息
- 1. 新疆农业大学数理学院,新疆 乌鲁木齐 832000
- 折叠
摘要
从守恒律出发,以一维Burgers方程为例,详细叙述一维守恒律激波的形成,随后从方程解的显式表达式上结合特征线来具体分析解的爆破机制,最后给出两类守恒律方程解的爆破问题的证明.
Abstract
In this paper,we take the one-dimensional Burgers equation as an example to describe the formation of the one-dimensional conservation law shock wave,then analyze the blasting mechanism of the solution from the explicit expression of the equation solution,and finally give the proof of the blow-up problem of the solution of the two types of conservation law equations.
关键词
一维双曲型方程/守恒律/解的爆破Key words
one-dimensional hyperbolic equation/conservation law/blasting of solution引用本文复制引用
出版年
2024
NETL
NSTL
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