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

preprint2015arXivOpen access

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

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

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