Conditional regularity for the compressible Navier-Stokes equations with potential temperature transport

2024/07/20 by Lukáčová-Medviďová, Mária, Schömer, Andreas · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2407.14849

Abstract

We study conditional regularity for the compressible Navier-Stokes equations with potential temperature transport in a bounded domain Ω⊂ℝ^d, d∈\2,3\, with no-slip boundary conditions. We first prove the existence and uniqueness of local-in-time strong solutions. Further, we prove a blow-up criterion for the strong solution in terms of L^∞-norms for the density and the velocity.

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