具有古典弱解二维双典型守恒律组Riemann问题

The Riemann Problem for a Two-dimensional Hyperbocic System of Conservation Laws with Non-classical weak solutions:Some One-Rinitial data

本文讨论一类初值含稀疏波的二维双曲型守恒律Riemann问题。共分八种情形,由于问题的复杂性,我们只讨论其中的一种情形。一种非生古典波出现在Riemann解中。

The Riemann problem for a two-dimensional 2 × 2 nonstrictly hyperbolic sys-tem of nonlinear conservation laws with one-rarefaction initial data was considered. There were eight cases,only one of which was discussed. Riemann solutions contained the non-clas-sical shock waves which were the supports of linear functionals.