Stability of strong solutions to the Navier-Stokes-Fourier system
Analysis of PDEs
2018-03-15 v2
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.
Keywords
Cite
@article{arxiv.1802.01785,
title = {Stability of strong solutions to the Navier-Stokes-Fourier system},
author = {Jan Brezina and Eduard Feireisl and Antonin Novotny},
journal= {arXiv preprint arXiv:1802.01785},
year = {2018}
}
Comments
This newer version has extended introduction and extra computations for better readability