Long time decay for global solutions to the Navier-Stokes equations in Sobolev-Gevery spaces

2019/03/07 by Orf, Hajer
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1903.03034

Abstract

In this paper, we prove that if u∈ C([0,∞), H^1/2_a,1(ℝ³)) is a global solution of 3D incompressible Navier-Stokes equations, then ‖u‖_H^1/2_a,1 decays to zero as time approaches infinity. Fourier analysis and standard techniques are used.

Related

• Long time decay for 3D-NSE in Gevrey-Sobolev spaces
• Long time decay to the Lei-Lin solution of 3D Navier-Stokes equations
• Long time decay of 3D-NSE in Lei-Lin-Gevrey spaces
• Long Time Decay of Leray Solution of 3D-NSE With Damping
• Large time behaviour of solutions to the 3D-NSE in \mathcal X^σ spaces