Analyticity for the (generalized) Navier-Stokes equations with rough initial data

Chunyan Huang, Baoxiang Wang

We study the Cauchy problem for the (generalized) incompressible Navier-Stokes equations \begin{align} u_t+(-Δ)^αu+u\cdot \nabla u +\nabla p=0, \ \ {\rm div} u=0, \ \ u(0,x)= u_0.…