Glimm’s method and density of wild data for the Euler system of gas dynamics

0582709 - MÚ 2025 RIV US eng J - Journal Article
Chiodaroli, E. - Feireisl, Eduard
Glimm’s method and density of wild data for the Euler system of gas dynamics.
Nonlinearity. Roč. 37, č. 3 (2024), č. článku 035005. ISSN 0951-7715. E-ISSN 1361-6544
R&D Projects: GA ČR(CZ) GA21-02411S
Institutional support: RVO:67985840
Keywords : convex integration * Euler system of gas dynamics * Riemann problem * wild data
OECD category: Pure mathematics
Impact factor: 1.7, year: 2022
Method of publishing: Limited access
https://doi.org/10.1088/1361-6544/ad1cbd

We adapt Glimm’s approximation method to the framework of convex integration to show density of wild data for the (complete) Euler system of gas dynamics. The desired infinite family of entropy admissible solutions emanating from the same initial data is obtained via convex integration of suitable Riemann problems pasted with local smooth solutions. In addition, the wild data belong to BV class.
Permanent Link: https://hdl.handle.net/11104/0350792