On the density of “wild” initial data for the compressible Euler system

0531873 - MÚ 2021 RIV DE eng J - Journal Article
Feireisl, Eduard - Klingenberg, C. - Markfelder, S.
On the density of “wild” initial data for the compressible Euler system.
Calculus of Variations and Partial Differential Equations. Roč. 59, č. 5 (2020), č. článku 152. ISSN 0944-2669. E-ISSN 1432-0835
R&D Projects: GA ČR(CZ) GA18-05974S
Institutional support: RVO:67985840
Keywords : compressible Euler system
OECD category: Pure mathematics
Impact factor: 1.945, year: 2020
Method of publishing: Open access
https://doi.org/10.1007/s00526-020-01806-5

We consider a class of “wild” initial data to the compressible Euler system that give rise to infinitely many admissible weak solutions via the method of convex integration. We identify the closure of this class in the natural L1-topology and show that its complement is rather large, specifically it is an open dense set.
Permanent Link: http://hdl.handle.net/11104/0310513