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arXiv · 1707.02016

Asymptotic stability of the stationary Navier-Stokes flows in Besov spaces

Jayson Cunanan·Takahiro Okabe·Yohei Tsutsui
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Abstract

We discuss the asymptotic stability of stationary solutions to the incompressible Navier-Stokes equations on the whole space in Besov spaces with positive smoothness and low integrability. A critical estimate for the semigroup generated by the Laplacian with a perturbation is main ingredient of the argument.

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Jayson Cunanan, Takahiro Okabe, Yohei Tsutsui. 2017-07-07. Asymptotic stability of the stationary Navier-Stokes flows in Besov spaces. https://arxiv.org/abs/1707.02016

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