An overview of some recent results on the Euler system of isentropic gas dynamics
Elisabetta Chiodaroli, Ondrej Kreml
TL;DR
This paper reviews recent findings on the non-uniqueness of solutions to the isentropic Euler equations in gas dynamics, emphasizing the impact of various admissibility criteria.
Contribution
It provides a comprehensive overview of recent results demonstrating non-uniqueness and discusses the influence of admissibility conditions on solution selection.
Findings
Non-uniqueness of solutions under certain conditions
Impact of admissibility criteria on solution uniqueness
Recent mathematical techniques applied to Euler equations
Abstract
In this overview we discuss some recent results of non--uniqueness for the isentropic Euler equations of gas dynamics with particular attention to the role of some admissibility criteria proposed in the literature.
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Taxonomy
TopicsNavier-Stokes equation solutions · Advanced Mathematical Physics Problems · Computational Fluid Dynamics and Aerodynamics