Self-similar viscosity approach to the Riemann problem for a strictly hyperbolic system of conservation laws

被引：5
|
作者：
Chhatria, Balakrishna [1 ]
Sen, Anupam [2 ]
Sekhar, T. Raja [1 ]
机构：
[1] Indian Inst Technol Kharagpur, Dept Math, Kharagpur, India
[2] Tata Inst Fundamental Res, Ctr Applicable Math, Bangalore, India
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 06期
关键词：
delta shock wave; Riemann problem; self-similar vanishing viscosity; strictly hyperbolic system; DELTA-SHOCK-WAVES; VANISHING PRESSURE LIMIT; EULER EQUATIONS; STABILITY; CAVITATION;
D O I：
10.1002/mma.8969
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Here, we study the Riemann problem for a strictly hyperbolic system of conservation laws, which occurs in gas dynamics and nonlinear elasticity. We establish the existence and uniqueness of the solution of Riemann problem containing delta shock wave by employing self-similar vanishing viscosity approach. We prove that delta shock is stable under self-similar viscosity perturbation, which ensures that delta shock wave is a unique entropy solution.
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页码：7265 / 7284
页数：20
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