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Measure-valued solutions to the complete Euler system
- 1.0495259 - MÚ 2019 RIV JP eng J - Journal Article
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
EU Projects: European Commission(XE) 320078 - MATHEF
Institutional support: RVO:67985840
Keywords : Euler system * measure-valued solution * weak-strong uniqueness * perfect gas
OECD category: Pure mathematics
Impact factor: 0.496, year: 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.
Permanent Link: http://hdl.handle.net/11104/0288262
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