FORMATION OF SINGULARITIES IN 3-DIMENSIONAL COMPRESSIBLE FLUIDS
FORMATION OF SINGULARITIES IN 3-DIMENSIONAL COMPRESSIBLE FLUIDS
复制标题
DOI：
10.1007/bf01210741
复制
发表时间：
1985-01-01
影响因子：
2.4
通讯作者：
SIDERIS, TC
中科院分区：
文献类型：
--
作者：
SIDERIS, TC
给出了在各种初始数据假设下，多方理想流体三维欧拉方程解中奇点形成的几个结果。特别是，它示出，一个本地化的流体，这是最初的压缩和外出，平均而言，将开发奇点，无论初始扰动的大小。
Presented are several results on the formation of singularities in solutions to the three-dimensional Euler equations for a polytropic, ideal fluid under various assumptions on the initial data. In particular, it is shown that a localized fluid which is initially compressed and outgoing, on average, will develop singularities regardless of the size of the initial disturbance.