NonUnique Admissible Weak Solutions of the Compressible Euler Equations with Compact Support in Space

DOI10.1137/20M1367015zbMath1480.35314arXiv2003.13287MaRDI QIDQ5150320

Ibrokhimbek Akramov, Emil Wiedemann

Publication date: 15 February 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.13287

zbMATH Keywords

compressible Euler equationsbounded domainconvex integrationnonuniqueness

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Weak solutions to PDEs (35D30) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Localized mixing zone for Muskat bubbles and turned interfaces ⋮ Weak-strong uniqueness for the isentropic Euler equations with possible vacuum ⋮ A general convex integration scheme for the isentropic compressible Euler equations ⋮ Global ill-posedness for a dense set of initial data to the isentropic system of gas dynamics

Cites Work

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• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Global Ill‐Posedness of the Isentropic System of Gas Dynamics
• Weak Solutions to Problems Involving Inviscid Fluids

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