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关于一维双曲方程组解的爆破机制探讨

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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.
On the Blasting Mechanism of One-Dimensional Hyperbolic Equations
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.

one-dimensional hyperbolic equationconservation lawblasting of solution

马旭、屈书婷

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新疆农业大学数理学院,新疆 乌鲁木齐 832000

一维双曲型方程 守恒律 解的爆破

2024

长春师范大学学报
长春师范学院

长春师范大学学报

CHSSCD
影响因子:0.312
ISSN:1008-178X
年,卷(期):2024.43(8)