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.
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.
作者
马旭
屈书婷
MA Xu;QU Shuting(College of Mathematics and Science,Xinjiang Agricultural University,Urumqi 832000,China)
出处
《长春师范大学学报》
2024年第8期12-15,66,共5页
Journal of Changchun Normal University
基金
新疆维吾尔自治区大学生创新创业训练计划项目“双曲守恒律方程的解的爆破性质研究”(S2022107580100)。
关键词
一维双曲型方程
守恒律
解的爆破
one-dimensional hyperbolic equation
conservation law
blasting of solution
