SIAM Journal on Mathematical Analysis, Volume 52, Issue 2, Page 1761-1785, January 2020.
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.

中文翻译：

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Navier-Stokes-Fourier系统强解的稳定性

SIAM数学分析杂志，第52卷，第2期，第1761-1785页，2020年1月。
我们确定了一大类对象-Navier -Stokes-Fourier系统的耗散测值（DMV）解决方案- -在其中强大的解决方案是稳定的。更准确地说，只要存在相同的初始数据，DMV解决方案就与源自相同初始数据的强大解决方案相吻合。DMV解决方案由满足某些兼容性条件的参数化测量系列表示。可以将它们看作是早期在（无粘性）欧拉系统中引入的耗散测度值解决方案的类似物。