Global Existence of Some Infinite Energy Solutions for a Perfect Incompressible Fluid
Global Existence of Some Infinite Energy Solutions for a Perfect Incompressible Fluid
复制标题
完美不可压缩流体的一些无限能量解的全球存在性
DOI：
10.1137/080713768
复制
发表时间：
2006
期刊：
影响因子：
--
通讯作者：
F. Tiglay
中科院分区：
文献类型：
--
作者：
R. Saxton;F. Tiglay
本文给出了不可压缩、无粘流体的一类欧拉方程解的局部和整体存在性结果。通过考虑一类在无穷远处呈现特征增长的解，我们得到了一个非局部方程的初值问题。我们建立了三维及更高维上这些解在所有维度上的局部适定性和时间持久性。我们还研究了一类较弱的全局解。
This paper provides results on local and global existence for a class of solutions to the Euler equations for an incompressible, inviscid fluid. By considering a class of solutions which exhibits a characteristic growth at infinity we obtain an initial value problem for a nonlocal equation. We establish local well-posedness in all dimensions and persistence in time of these solutions for three and higher dimensions. We also examine a weaker class of global solutions.