An overview of some recent results on the Euler system of isentropic gas\n dynamics

2015/08/12 by Elisabetta Chiodaroli, Chiodaroli, Elisabetta, Ondřej Kreml +2
Earth and Planetary Sciences · Engineering · Environmental Science · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Applied mathematics #Aquatic and Environmental Studies #Computational Fluid Dynamics and Aerodynamics #Dynamics (music) #Euler equations #Euler system #Euler's formula #FOS: Mathematics #Gas dynamics #Isentropic process #Mathematical analysis #Mathematics #Mechanics #Methane Hydrates and Related Phenomena #Navier-Stokes equation solutions #Physics #Theoretical physics #Thermodynamics #Uniqueness #math.AP

paper · pdf · doi:10.48550/arxiv.1508.02937

10 pages. arXiv admin note: substantial text overlap with arXiv:1312.4715

arxiv created 2015/08/12 · openalex publication_date 2015/08/12 · arxiv updated 2015/08/13 · openalex created_date 2022/08/15 · openalex updated_date 2026/08/05

Abstract

In this overview we discuss some recent results of non--uniqueness for the\nisentropic Euler equations of gas dynamics with particular attention to the\nrole of some admissibility criteria proposed in the literature.\n

Citations

• On the energy dissipation rate of solutions to the compressible isentropic Euler system

Related

• On admissibility criteria for weak solutions of the Euler equations
• Non-uniqueness of admissible weak solutions to the compressible Euler equations with smooth initial data
• Weak-Strong Uniqueness for the Isentropic Euler Equations with Possible Vacuum
• Uniqueness and energy balance for isentropic Euler equation with stochastic forcing
• On the Selection of Measure-Valued Solutions for the Isentropic Euler System