Weak–Strong Uniqueness Property for the Full Navier–Stokes–Fourier System

By Eduard Feireisl, Antonín Novotný. 2011

186 citations recorded by the source corpus.

The Navier–Stokes–Fourier system describing the motion of a compressible, viscous and heat conducting fluid is known to possess global-in-time weak solutions for any initial data of finite energy. We show that a weak solution coincides with the strong solution, emanating from the same initial data, as long as the latter exists. In particular, strong solutions are unique within the class of weak solutions.

Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/fc23a5f6fcb6823b97834fbbad5b490fc2b383a1

Citations in the corpus

• On the Inviscid Limit for the Compressible Navier–Stokes System in an Impermeable Bounded Domain (2012, unknown): “In both cases we use in a crucial way some relative energy estimates proved recently by Feireisl, Ja Jin and Novotný in [14].”