关于二维Euler方程解的存在唯一性的一个附注(英文)

A Remark on Existence and Uniqueness of Two-Dimensional Euler Equations

在局部存在唯一性的基础上，本文证明了当ω０ ∈Ｌ（２，１） 及ｕ０ ∈Ｃｒ 时二维Ｅｕｌｅｒ方程解的整体存在唯一性．这里Ｌ（２，１） 是Ｌｏｒｅｎｔｚ空间， Ｃｒ

Based on the local existence and uniqueness obtained in [3], the global existence and uniqueness of solutions in the case of ω 0∈L (2,1)  and u 0∈C r(r>1) are obtained, where L (2,1)  is a Lorentz space and C r is a Holder space.