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arXiv · 1903.03034

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

Hajer Orf
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Abstract

In this paper, we prove that if $u\in C([0,\infty), \dot{H}^{1/2}_{a,1}(\mathbb{R}^3))$ is a global solution of 3D incompressible Navier-Stokes equations, then $\|u\|_{\dot{H}^{1/2}_{a,1}}$ decays to zero as time approaches infinity. Fourier analysis and standard techniques are used.

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Hajer Orf. 2019-03-07. Long time decay for global solutions to the Navier-Stokes equations in Sobolev-Gevery spaces. https://arxiv.org/abs/1903.03034

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