arXiv:1802.01785 Abstract | arXiv Analytics

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Stability of strong solutions to the Navier-Stokes-Fourier system

Jan Brezina, Eduard Feireisl, Antonin Novotny

Published 2018-02-06Version 1

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.

Categories: math.AP

Keywords: navier-stokes-fourier system, compatibility conditions, large class, euler system, solution coincides

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