Non-self-similar solutions containing delta shock waves for nonhomogeneous zero-pressure gas dynamics with energy conservation law by the viscosity method

被引：0
|
作者：
Li, Shiwei [1 ]
Wang, Hui [1 ]
机构：
[1] Henan Univ Engn, Coll Sci, Zhengzhou 451191, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2025年 / 48卷 / 04期
关键词：
delta shock wave; nonhomogeneous zero-pressure gas dynamics; non-self-similar solutions; vanishing viscosity method; vacuum; COUPLED HYPERBOLIC SYSTEMS; RIEMANN PROBLEM; EQUATIONS;
D O I：
10.1002/mma.10602
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article considers the zero-pressure gas dynamics governed by the conservation laws of mass, momentum, and energy with time-dependent source terms. By adopting the vanishing viscosity method, we propose a viscous system to prove the stability of non-self-similar Riemann solutions including the delta shock wave and vacuum.
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页码：5278 / 5299
页数：22
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