Maximal Dissipation and Well-Posedness of the Euler System of Gas Dynamics
Eduard Feireisl, Ansgar Jüngel, Mária Lukáčová-MedviĎová · 2026
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Description
Eduard Feireisl, Ansgar Jüngel, and Mária Lukáčová-Medviďová published a 2026 mathematical analysis of the Euler equations, the classic system describing a compressible gas with no friction. These equations are notorious for forming singularities and for admitting too many weak solutions, which leaves physicists without a rule for picking the right one. A proposed selection rule, Dafermos' criterion, favors the solution that dissipates the most.
The authors prove that any very general loose solution obeying that maximal loss rule must in fact be a proper admissible weak solution. They then give a short procedure of at most two steps that singles out one solution behaving like a semigroup, meaning its evolution is consistent over time. A refined rule yields one answer for any starting state with finite energy.
Catalog record
| CREATOR | Eduard Feireisl, Ansgar Jüngel, Mária Lukáčová-MedviĎová |
|---|---|
| YEAR | 2026 |
| COLLECTION | PAPERS |
| FORMAT | TXT |
| FILE SIZE | 45 KB |
| VERSION | 1.0 |
| LICENSE | CC BY 4.0 |
| RIGHTS | CC BY |
| SOURCE | Europe PMC |