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arXiv · 1502.04196

Long time decay for 3D-NSE in Gevrey-Sobolev spaces

Jamel Benameur·Lotfi Jlali
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Abstract

In this paper we prove, if $u$ is a global solution to Navier-Stokes equations in the Sobolev-Gevrey spaces $H^1_{a,\sigma}(\mathbb R^3)$, then $\|u(t)\|_{H^1_{a,\sigma}}$ decays to zero as time goes to infinity. Fourier analysis is used.

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Jamel Benameur, Lotfi Jlali. 2015-02-14. Long time decay for 3D-NSE in Gevrey-Sobolev spaces. https://arxiv.org/abs/1502.04196

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