Analyticity of the inhomogeneous incompressible Navier–Stokes equations

Citation data:

Applied Mathematics Letters, ISSN: 0893-9659, Vol: 83, Page: 200-206

Publication Year:
2018
Captures 2
Readers 2
Repository URL:
http://scholarworks.unist.ac.kr/handle/201301/24166
DOI:
10.1016/j.aml.2018.04.001
Author(s):
Bae, Hantaek
Publisher(s):
Elsevier BV; PERGAMON-ELSEVIER SCIENCE LTD
Tags:
Mathematics; Inhomogeneous Navier– Stokes equations; Critical spaces; Gevrey estimates
article description
In this paper, we obtain analyticity of the inhomogeneous Navier–Stokes equations. The main idea is to use the exponential operator eϕ(t)|D|, where ϕ(t)=δ−θ(t), δ>0 is the analyticity radius of (ρ0−1,u0), and |D| is the differential operator whose symbol is given by ‖ξ‖l1. We will show that for sufficiently small initial data, solutions are analytic globally in time in critical Besov spaces.