Year: 2013
Type: preprint
Abstract: 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. \nonumber \end{align} We show the analyticity of the local solutions of the Navier-Stokes equation ($α=1$) with any initial data in critical Besov spaces $\dot{B}^{n/p-1}_{p,q}(\mathbb{R}^n)$ with $1< p
Source: arXiv (Cornell University)
Authors: Huang, Chunyan, Wang, Baoxiang
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G1487034377
OpenAlex ID: W2209046102