不可压缩微极流方程在临界Besov空间中的局部适定性

Local Well-Posedness of Incompressible Micropolar Equations in Critical Besov Spac-es

本文主要研究d (d ≥ 2)维不可压缩微极流系统在L2框架下临界Besov空间中的局部适定性。证明了当方程组(1.1)的初值满足时,(1.1)存在一个唯一的局部解。

This paper mainly studies the local well-posedness of d (d ≥ 2)-dimensional incompressible mi-cropolar system in the critical Besov space under the L2 framework. It is proved that (1.1) has a unique local solution when the initial data of (1.1) satisfies .