Global ill-posedness for a dense set of initial data to the isentropic system of gas dynamics

DOI10.1016/j.aim.2021.108057zbMath1496.35293arXiv2103.04905OpenAlexW3211311565MaRDI QIDQ2054242

Robin Ming Chen, Cheng Yu, Alexis F. Vasseur

Publication date: 1 December 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.04905

zbMATH Keywords

non-uniquenesscompressible Euler equationsglobal weak solutionsconvex integration

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (11)

On non-uniqueness of continuous entropy solutions to the isentropic compressible Euler equations ⋮ Weak-strong uniqueness for the isentropic Euler equations with possible vacuum ⋮ Non-uniqueness of weak solutions to 3D magnetohydrodynamic equations ⋮ On Bounded Two-Dimensional Globally Dissipative Euler Flows ⋮ Hyperbolic Conservation Laws: Past, Present, Future ⋮ Which measure-valued solutions of the monoatomic gas equations are generated by weak solutions? ⋮ The role of density in the energy conservation for the isentropic compressible Euler equations ⋮ A general convex integration scheme for the isentropic compressible Euler equations ⋮ On the inviscid limit of the compressible Navier-Stokes equations near Onsager's regularity in bounded domains ⋮ Glimm’s method and density of wild data for the Euler system of gas dynamics ^* ⋮ Probabilistic descriptions of fluid flow: a survey

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