Abstract
AbstractWe 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 $$L^\infty $$
L
∞
-norm by showing that the norm is bounded from below by the same decay rate.
Funder
Japan Society for the Promotion of Science London
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics,Condensed Matter Physics,Mathematical Physics
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