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

0440701 - MÚ 2016 RIV FR eng J - Článek v odborném periodiku
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
GRANT EU: European Commission(XE) 320078 - MATHEF
Institucionální podpora: RVO:67985840
Klíčová slova: Euler-Fourier system * convex integration * weak solution
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 2.066, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0243801