Numerical study of non-uniqueness for 2D compressible isentropic Euler equations
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Publication:2133020
DOI10.1016/j.jcp.2021.110588OpenAlexW3087715584MaRDI QIDQ2133020
Alberto Bressan, Yi Jiang, Hai-liang Liu
Publication date: 29 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.09494
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Hyperbolic equations and hyperbolic systems (35Lxx)
Uses Software
Cites Work
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- On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
- On admissibility criteria for weak solutions of the Euler equations
- The Euler equations as a differential inclusion
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Systems of conservation laws. Two-dimensional Riemann problems
- \(L^1\) stability estimates for \(n\times n\) conservation laws
- On self-similar solutions to the incompressible Euler equations
- On the convergence of the spectral viscosity method for the two-dimensional incompressible Euler equations with rough initial data
- A posteriori error estimates for self-similar solutions to the Euler equations
- Invariant-region-preserving DG methods for multi-dimensional hyperbolic conservation law systems, with an application to compressible Euler equations
- Construction of approximate entropy measure-valued solutions for hyperbolic systems of conservation laws
- Vanishing viscosity solutions of nonlinear hyperbolic systems
- Algebraic spiral solutions of 2d incompressible Euler
- The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures
- A possible counterexample to well posedness of entropy solutions and to Godunov scheme convergence
- Numerical evidence of nonuniqueness in the evolution of vortex sheets
- Compressible and incompressible fluids
- Statistical solutions of hyperbolic systems of conservation laws: Numerical approximation
- Global Ill‐Posedness of the Isentropic System of Gas Dynamics
- Solutions in the large for nonlinear hyperbolic systems of equations
- Non-stationary flow of an ideal incompressible liquid
- Hyperbolic Conservation Laws in Continuum Physics
- Front tracking for hyperbolic conservation laws
