带对数状态方程的相对论欧拉方程解的消失压力极限中的浓度和空化

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-07-01 DOI:10.1063/5.0157277

Zhoutong Lei, Z. Shao

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引用次数: 1

摘要

本文用对数状态方程建设性地求解了相对论性欧拉方程的黎曼问题。观察和分析了黎曼溶液中压力消失过程中的浓度和空化现象。严格地证明，当压力消失时，它们趋向于零压力相对论欧拉方程的两种黎曼解，其中包括由加权δ测量形成的δ激波和真空状态。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Concentration and cavitation in the vanishing pressure limit of solutions to the relativistic Euler equations with the logarithmic equation of state

In this paper, we constructively solve the Riemann problem for the relativistic Euler equations with the logarithmic equation of state. The concentration and cavitation phenomena are observed and analyzed during the process of vanishing pressure in the Riemann solutions. It is rigorously proved that, as the pressure vanishes, they tend to the two kinds of Riemann solutions to the zero-pressure relativistic Euler equations, which include a delta shock formed by a weighted δ-measure and a vacuum state.

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来源期刊

Journal of Mathematical Physics Analysis Geometry PHYSICS, MATHEMATICAL-

CiteScore

0.70

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Mathematical Physics, Analysis, Geometry (JMPAG) publishes original papers and reviews on the main subjects: mathematical problems of modern physics; complex analysis and its applications; asymptotic problems of differential equations; spectral theory including inverse problems and their applications; geometry in large and differential geometry; functional analysis, theory of representations, and operator algebras including ergodic theory. The Journal aims at a broad readership of actively involved in scientific research and/or teaching at all levels scientists.