Statistical solutions for the Navier-Stokes-Fourier system

0585512 - MÚ 2025 RIV US eng J - Journal Article
Feireisl, Eduard - Lukáčová-Medviďová, M.
Statistical solutions for the Navier-Stokes-Fourier system.
Stochastics and Partial Differential Equations: Analysis and Computations. Roč. 12, č. 2 (2024), s. 1021-1045. ISSN 2194-0401. E-ISSN 2194-041X
R&D Projects: GA ČR(CZ) GA21-02411S
Institutional support: RVO:67985840
Keywords : Navier-Stokes-Fourier system * regular solution * statistical solution
OECD category: Pure mathematics
Impact factor: 1.5, year: 2022
Method of publishing: Limited access
https://doi.org/10.1007/s40072-023-00298-6

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'.
Permanent Link: https://hdl.handle.net/11104/0353195