BibTeX
@MISC{Lei06thepressure,
author = {Zhen Lei and Yuxi Zheng},
title = {The pressure gradient system},
year = {2006}
}
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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 [Arch. Rational Mech. Anal., 155(2000), 277-298] up to the free boundary of vacuum. We prove that the vacuum boundary where the system is degenerate
