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

0582709 - MÚ 2025 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA21-02411S
Institucionální podpora: RVO:67985840
Klíčová slova: convex integration * Euler system of gas dynamics * Riemann problem * wild data
Obor OECD: Pure mathematics
Impakt faktor: 1.7, rok: 2022
Způsob publikování: Omezený přístup
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.
Trvalý link: https://hdl.handle.net/11104/0350792