Statistical solutions for the Navier-Stokes-Fourier system

2022/12/13 by Eduard Feireisl, Feireisl, Eduard, Mária Lukáčová-Medviďová +1
Mathematics · Engineering · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2212.06784

Abstract

We show a general stability result in the framework of strong solutions of the Navier-Stokes-Fourier system describing the motion of a compressible viscous and heat conducting gas. As a corollary, we develop a concept of statistical solution in the class of regular solutions "beyond the blow up time".

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