Convex Integration Applied to the Multi-Dimensional Compressible Euler Equations

DOI10.1007/978-3-030-83785-3OpenAlexW3128687129MaRDI QIDQ4957830

Simon Markfelder

Publication date: 9 September 2021

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.04373

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations (35-01) Euler equations (35Q31) Compressible fluids and gas dynamics (76Nxx)

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Localized mixing zone for Muskat bubbles and turned interfaces ⋮ On non-uniqueness of continuous entropy solutions to the isentropic compressible Euler equations ⋮ Which measure-valued solutions of the monoatomic gas equations are generated by weak solutions? ⋮ Measure-Valued Low Mach Number Limits of Ideal Fluids ⋮ A general convex integration scheme for the isentropic compressible Euler equations ⋮ Minimal acceleration for the multi-dimensional isentropic Euler equations

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