Generalized solutions to models of inviscid fluids

0531702 - MÚ 2021 RIV US eng J - Journal Article
Breit, D. - Feireisl, Eduard - Hofmanová, M.
Generalized solutions to models of inviscid fluids.
Discrete and Continuous Dynamical Systems-Series B. Roč. 25, č. 10 (2020), s. 3831-3842. ISSN 1531-3492. E-ISSN 1553-524X
R&D Projects: GA ČR(CZ) GA18-05974S
Institutional support: RVO:67985840
Keywords : Euler system * weak solution * dissipative solution
OECD category: Pure mathematics
Impact factor: 1.327, year: 2020
Method of publishing: Open access
http://dx.doi.org/10.3934/dcdsb.2020079

We discuss several approaches to generalized solutions of problems describing the motion of inviscid fluids. We propose a new concept of dissipative solution to the compressible Euler system based on a careful analysis of possible oscillations and/or concentrations in the associated generating sequence. Unlike the conventional measure–valued solutions or rather their expected values, the dissipative solutions comply with a natural compatibility condition – they are classical solutions as long as they enjoy a certain degree of smoothness.
Permanent Link: http://hdl.handle.net/11104/0310318