Analyticity of the inhomogeneous incompressible Navier–Stokes equations
 Citation data:

Applied Mathematics Letters, ISSN: 08939659, Vol: 83, Page: 200206
 Publication Year:
 2018
 Repository URL:
 http://scholarworks.unist.ac.kr/handle/201301/24166
 DOI:
 10.1016/j.aml.2018.04.001
 Author(s):
 Publisher(s):
 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.