压力梯度方程的一个完整整体解
A Complete Global Solution to the Pressure Gradient Equation
摘要：
本文研究二维空间中压力梯度方程的一个黎曼问题解的存在域。黎曼问题是将一个四分之一的恒态气体扩展到其他三个真空四分之一。Dai和Zhang [Arch. Rational Mech. Anal.，{ \bf 155}（2000），277-298]直到真空的自由边界。我们证明了系统退化的真空边界是平凡坐标轴。
英文摘要：
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., {\bf 155}(2000), 277-298] up to the free boundary of vacuum. We prove that the vacuum boundary where the system is degenerate is the trivial coordinate axes.
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