On the weak solutions to the equations of a compressible heat conducting gas

0440701 - MÚ 2016 RIV FR eng J - Journal Article
Chiodaroli, E. - Feireisl, Eduard - Kreml, O.
On the weak solutions to the equations of a compressible heat conducting gas.
Annales de l'Institut Henri Poincaré. Analyse non Linéaire. Roč. 32, č. 1 (2015), s. 225-243. ISSN 0294-1449. E-ISSN 1873-1430
EU Projects: European Commission(XE) 320078 - MATHEF
Institutional support: RVO:67985840
Keywords : Euler-Fourier system * convex integration * weak solution
Subject RIV: BA - General Mathematics
Impact factor: 2.066, year: 2015
http://www.sciencedirect.com/science/article/pii/S0294144913001339

We consider the weak solutions to the Euler–Fourier system describing the motion of a compressible heat conducting gas. Employing the method of convex integration, we show that the problem admits infinitely many global-in-time weak solutions for any choice of smooth initial data. We also show that for any initial distribution of the density and temperature, there exists an initial velocity such that the associated initial-value problem possesses infinitely many solutions that conserve the total energy.
Permanent Link: http://hdl.handle.net/11104/0243801