Global L ∞ solutions of the compressible Euler equations with spherical symmetry
Global L ∞ solutions of the compressible Euler equations with spherical symmetry
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发表时间：
2006
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通讯作者：
Naoki
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作者：
Naoki
研究了具有球对称性的可压缩欧拉方程组。对于球对称流，除了一种特殊情况外，尚未得到L∞熵弱解的整体存在性.本文在更一般的情形下证明了整体解的存在性。我们构造的近似解，使用修改的Goddom计划。关键是得到近似解的L∞界。
We study the compressible Euler equations with spherical symmetry surrounding a solid ball. For the spherically symmetric flow, the global existence of L∞ entropy weak solutions has not yet obtained except a special case. In this paper, we prove the existence of global solutions in the more general case. We construct approximate solutions by using a modified Godunov scheme. The main point is to obtain an L∞ bound for the approximate solutions.