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arXiv · 1603.09464

Asymptotic profile of solutions to the linearized compressible Navier-Stokes flow

Ruy Coimbra Charao·Ryo Ikehata
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Abstract

We consider the asymptotic behavior as time goes to infinity of the $L^{2}$-norm of the velocity of the linearized compressible Navier-Stokes equations in ${\bf R}^{n}$ ($n \geq 2$). As an application we shall study the optimality of the decay rate for the $L^{2}$-norm of the velocity by deriving the decay estimate from below as time goes to infinity.

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Ruy Coimbra Charao, Ryo Ikehata. 2016-03-31. Asymptotic profile of solutions to the linearized compressible Navier-Stokes flow. https://arxiv.org/abs/1603.09464

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