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

2024/01/24 by Elisabetta Chiodaroli, Eduard Feireisl · 3 citations
Mathematics · #Advanced Mathematical Physics Problems #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions

paper · doi:10.1088/1361-6544/ad1cbd

openalex publication_date 2024/01/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

Abstract 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.

Citations

• Shocks Make the Riemann Problem for the Full Euler System in Multiple Space Dimensions Ill-posed

Cited by

• The Rayleigh-Taylor instability with local energy dissipation
• On "discrete" solutions of the Euler system of gas dynamics
• Oscillatory approximations and maximum entropy principle for the Euler system of gas dynamics

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