  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.
