摘要：
This paper considers multi-dimensional Riemann problem in another kind of view. The author gets solution of (1.1)(1.2) in Theorem 3.4 and proves its uniqueness. A new method of solution constructing is applied, which is different from the usual self-similar transformation. The author also discusses some generalized concepts in multi-dimensional situation (such as "convex condition", "left value" and "right value", etc). An example is finally given to demonstrate that rarefaction wave solution of (1 .1)(1 .2) is not self-similar.
中图分类号:
杨小舟. Multi-dimensional Riemann problem of scalar conservation law[J]. 数学物理学报(英文版), 1999, 19(2): 190-200.
YANG Xiao-Zhou. Multi-dimensional Riemann problem of scalar conservation law[J]. Acta mathematica scientia,Series B, 1999, 19(2): 190-200.