Measure-valued solutions to the complete Euler system

0495259 - MÚ 2019 RIV JP eng J - Článek v odborném periodiku
Březina, J. - Feireisl, Eduard
Measure-valued solutions to the complete Euler system.
Journal of the Mathematical Society of Japan. Roč. 70, č. 4 (2018), s. 1227-1245. ISSN 0025-5645
GRANT EU: European Commission(XE) 320078 - MATHEF
Institucionální podpora: RVO:67985840
Klíčová slova: Euler system * measure-valued solution * weak-strong uniqueness * perfect gas
Obor OECD: Pure mathematics
Impakt faktor: 0.496, rok: 2018
https://projecteuclid.org/euclid.jmsj/1531469370

We introduce the concept of dissipative measure-valued solution to the complete Euler system describing the motion of an inviscid compressible fluid. These solutions are characterized by a parameterized (Young) measure and a dissipation defect in the total energy balance. The dissipation defect dominates the concentration errors in the equations satisfied by the Young measure. A dissipative measure-valued solution can be seen as the most general concept of solution to the Euler system retaining its structural stability. In particular, we show that a dissipative measure-valued solution necessarily coincides with a classical one on its life span provided they share the same initial data.
Trvalý link: http://hdl.handle.net/11104/0288262