| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4612505 | Journal of Differential Equations | 2007 | 13 Pages |
Abstract
We study the domain of existence of a solution to a Riemann problem for the pressure gradient equation in two space dimensions. The Riemann problem is the expansion of a quadrant of gas of constant state into the other three vacuum quadrants. The global existence of a smooth solution was established in Dai and Zhang [Z. Dai, T. Zhang, Existence of a global smooth solution for a degenerate Goursat problem of gas dynamics, Arch. Ration. Mech. Anal. 155 (2000) 277–298] up to the free boundary of vacuum. We prove that the vacuum boundary is the coordinate axes.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
