Existence of periodic solutions to an isothermal relativistic Euler system

被引：0
作者：
Fei Wu
Zejun Wang
机构：
[1] Nanjing University of Aeronautics and Astronautics,Department of Mathematics
[2] MIIT,Key Laboratory of Mathematical Modelling and High Performance Computing of Air Vehicles (NUAA)
来源：
Acta Mathematica Scientia | 2022年 / 42卷
关键词：
isothermal relativistic Euler system; Glimm scheme; Riemann problem; BV space; periodicity; 76Y05; 35L65; 74J40; 35B10; 35A30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the global existence of periodic solutions to an isothermal relativistic Euler system in BV space. First, we analyze some properties of the shock and rarefaction wave curves in the Riemann invariant plane. Based on these properties, we construct the approximate solutions of the isothermal relativistic Euler system with periodic initial data by using a Glimm scheme, and prove that there exists an entropy solution V(x, t) which belongs to L∞ ∩ BVloc (ℝ × ℝ+).
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页码：155 / 171
页数：16
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