On strong continuity of weak solutions to the compressible Euler system

DOI10.1007/s00332-021-09694-5zbMath1462.35257arXiv1904.13232OpenAlexW3135440763MaRDI QIDQ2022586

Anna Abbatiello, Eduard Feireisl

Publication date: 29 April 2021

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.13232

zbMATH Keywords

weak solutioncompressible Euler systemconvex integrationoscillatory lemma

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Taylor–Couette flow with temperature fluctuations: Time periodic solutions

Cites Work

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• Regularity and energy conservation for the compressible Euler equations
• On admissibility criteria for weak solutions of the Euler equations
• Onsager's conjecture on the energy conservation for solutions of Euler's equation
• Non-uniqueness of admissible weak solutions to compressible Euler systems with source terms
• A counterexample to well-posedness of entropy solutions to the compressible Euler system
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Well/Ill Posedness for the Euler-Korteweg-Poisson System and Related Problems
• Weak Solutions to Problems Involving Inviscid Fluids

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