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arXiv · 2303.06891

Optimality of the Decay Estimate of Solutions to the Linearised Curl-Free Compressible Navier-Stokes Equations

Tsukasa Iwabuchi·Dáithí Ó hAodha
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Abstract

We discuss optimal estimates of solutions to the compressible Navier-Stokes equations in Besov norms. In particular, we consider the estimate of the curl-free part of the solution to the linearised equations, in the homogeneous case. We prove that our estimate is optimal in the $L^\infty$-norm by showing that the norm is bounded from below by the same decay rate.

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Tsukasa Iwabuchi, Dáithí Ó hAodha. 2023-03-13. Optimality of the Decay Estimate of Solutions to the Linearised Curl-Free Compressible Navier-Stokes Equations. https://arxiv.org/abs/2303.06891

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