Remarks on spherically symmetric solutions of the compressible Euler equations
Remarks on spherically symmetric solutions of the compressible Euler equations
复制标题
可压缩欧拉方程球对称解的备注
DOI：
10.1017/s0308210500023635
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发表时间：
1997
期刊：
影响因子：
--
通讯作者：
Gui
中科院分区：
文献类型：
--
作者：
Gui
一些证据表明，在某些情况下，可压缩欧拉方程的球对称解在某一时刻在原点附近爆破。[4，19]))。本文给出了任意大振幅L∞柯西数据的一个判据，以确保L∞在大范围内存在球对称解，它模拟了传出的冲击波和大时间渐近解。分析了解的平衡态及其渐近衰减性。讨论了关于整体球对称解的一些注记。
Some evidence indicates that spherically symmetric solutions of the compressible Euler equations blow up near the origin at some time under certain circumstances (cf. [4,19]). In this paper, we observe a criterion for L∞ Cauchy data of arbitrarily large amplitude to ensure the existence of L∞ spherically symmetric solutions in the large, which model outgoing blast waves and large-time asymptotic solutions. The equilibrium states of the solutions and their asymptotic decay to such states are analysed. Some remarks on global spherically symmetric solutions are discussed.