Weak-strong uniqueness property for the full Navier-Stokes-Fourier system

0376740 - MÚ 2013 RIV DE eng J - Journal Article
Feireisl, Eduard - Novotný, A.
Weak-strong uniqueness property for the full Navier-Stokes-Fourier system.
Archive for Rational Mechanics and Analysis. Roč. 204, č. 2 (2012), s. 683-706. ISSN 0003-9527. E-ISSN 1432-0673
R&D Projects: GA ČR GA201/09/0917
Institutional research plan: CEZ:AV0Z10190503
Keywords : weak-strong uniqueness * Navier-Stokes-Fourier system * relative entropy
Subject RIV: BA - General Mathematics
Impact factor: 2.292, year: 2012
http://www.springerlink.com/content/nt003372p736230w/

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.
Permanent Link: http://hdl.handle.net/11104/0209067