关于二维欧拉方程解的渐近行为
偏微分方程分析
2020-04-17 v3
摘要
我们证明二维欧拉方程在一类于无穷远处具有任意先验给定阶空间渐近展开的向量场空间中整体适定。解的渐近系数是 的全纯函数，不含（空间）对数项，并且即使初始数据在无穷远处快速衰减时也会出现。我们讨论了渐近项随时间的演化及其逼近性质。
引用
@article{arxiv.1911.03023,
title = {On the asymptotic behavior of solutions of the 2d Euler equation},
author = {Saif Sultan and Peter Topalov},
journal= {arXiv preprint arXiv:1911.03023},
year = {2020}
}
备注
This is the same version as the previous two but with several typos corrected