Riemann problems for the 2-D pressureless gas dynamics with external forces

被引：0

作者：

Cheng, Hongjun ^{[1
]}

机构：

[1] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2023年 / 78卷 / 02期

关键词：

delta-shock wave; pressureless gas dynamics; Riemann problem; vacuum state; COMPRESSIBLE EULER EQUATIONS; DELTA SHOCK-WAVE; VANISHING VISCOSITY; HYPERBOLIC SYSTEMS; MODEL; UNIVERSE; SCHEME; LIMITS;

D O I：

10.1515/zna-2022-0246

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

This paper is concerned with the pressureless gas dynamics with a space-dependent gravity or a time-dependent friction in two dimensions. The basic Riemann problems with two pieces of constant initial data are considered. By the characteristic analysis, the Riemann problems are constructively solved by two kinds of solutions: vacuum solution and delta-shock solution, which describe the phenomena of cavitation and concentration, respectively. Especially, the generalized Rankine-Hugoniot relations for delta-shock waves are clarified and applied to the Riemann problems.

引用

页码：133 / 144

页数：12

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