Potential singularity of the axisymmetric Euler equations with \(C^{\alpha}\) initial vorticity for a large range of \(\alpha\)

DOI10.1137/22m1542453MaRDI QIDQ6644354

Thomas Yizhao Hou, Shumao Zhang

Publication date: 27 November 2024

Published in: Multiscale Modeling \& Simulation (Search for Journal in Brave)

zbMATH Keywords

finite-time blow-up3D axisymmetric Euler equations

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

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