无压气体动力学方程组二维Riemann问题的泛函解

Two-dimensional Riemann problem for Pressureless gas Dynamics Equations with functional Solutions

本文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,非古典激波出现在某些解中,同时给出了Dirac激波的熵条件。

The Riemann problem for a two -diamensional hyperbolic system of pres-sureless gas dynamics equations was considered. Riemann solations 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 uniqueness of Riemann solutions contain-ing Dirac -shock waves failed.