In this paper, we present the existence of the uniform analytic solution of the Cauchy problem for fractional incompressible Navier–Stokes Equations in critical Fourier–Herz spaces. The main strategies are to prove that the existence of the uniform analytic solution is equivalent to the boundedness of convolution inequality on Herz space.

中文翻译：

---

分数阶Navier–Stokes方程的一致解析解

在本文中，我们提出了临界Fourier-Herz空间中分数阶不可压缩Navier-Stokes方程的Cauchy问题的统一解析解的存在。主要策略是证明统一解析解的存在等效于Herz空间上卷积不等式的有界性。