@article{4788d6be8b5d436b864f14d1fdb6f571,
title = "Stability of strong solutions to the navier-stokes-fourier system",
abstract = "We identify a large class of objects-dissipative measure-valued (DMV) solutions to the Navier-Stokes-Fourier system-in which the strong solutions are stable. More precisely, a DMV solution coincides with the strong solution emanating from the same initial data as long as the latter exists. The DMV solutions are represented by parameterized families of measures satisfying certain compatibility conditions. They can be seen as an analogue to the dissipative measure-valued solutions introduced earlier in the context of the (inviscid) Euler system.",
author = "Jan Brezina and Eduard Feireisl and Antonin Novotny",
note = "Funding Information: ∗Received by the editors October 29, 2018; accepted for publication (in revised form) January 30, 2020; published electronically April 13, 2020. https://doi.org/10.1137/18M1223022 Funding: The work of the second author was supported by the Czech Sciences Foundation (GACR) grant 18-05974S and the Institute of Mathematics of the Academy of Sciences of the Czech Republic grant RVO:67985840. †Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-ku, Tokyo, 152-8550, Japan (h.brezina@gmail.com). ‡Institute of Mathematics of the Academy of Sciences of the Czech Republic, Zˇitn{\'a} 25, CZ-115 67 Praha 1, Czech Republic (feireisl@math.cas.cz). §Universit{\'e}de Toulon, IMATH, EA 2134, BP 20132, 83957 La Garde, France (novotny@univ-tln.fr). Publisher Copyright: Copyright {\textcopyright} by SIAM.",
year = "2020",
doi = "10.1137/18M1223022",
language = "English",
volume = "52",
pages = "1761--1785",
journal = "SIAM Journal on Mathematical Analysis",
issn = "0036-1410",
publisher = "Society for Industrial and Applied Mathematics Publications",
number = "2",
}