无压气体动力学方程组二维Riemann问题的泛函解

来源期刊：中南大学学报(自然科学版)1999年第1期

论文作者：彭向阳 胡家信

文章页码：102 - 106

关键词：Riemann问题;泛函解;无压气体动力学方程组

Key words：Riemann problem; functional solutions; pressureless gas dynamics equations

摘    要：考虑无压气体动力学方程组二维Riemann问题,构造了分片常初值时的Riemann解,得出非古典激波出现在某些Riemann解中；同时给出了Dirac激波的熵条件,得出包含Dirac激波的Riemann解不唯一.

Abstract: The Riemann problem for a two-dimensional hyperbolic system of pressureless gas dynamics equations was considered. Riemann solutions were constructed for any piecewise constant initial data having two discontinuity rays with the origin as vertex. Non-classical waves (labelled as Dirac shoch waves) appeared in some solutions. The entropy conditions for the Dirac-shock waves were given, and uniqueness of Riemann solutions containing Dirac-shock waves failed.