On Liouville type theorems for the self-similar solutions to the generalized Euler equations

DOI10.1016/J.AIM.2023.109316zbMath1527.35234OpenAlexW4387249944MaRDI QIDQ6058890

Donghao Chae

Publication date: 1 November 2023

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

Full work available at URL: https://doi.org/10.1016/j.aim.2023.109316

zbMATH Keywords

Liouville-type theoremdiscretely self-similar solutionsgeneralized Euler equations

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Periodic solutions to PDEs (35B10) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Blow-up in context of PDEs (35B44) Self-similar solutions to PDEs (35C06) Euler equations (35Q31) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

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• Active vector models generalising 3D Euler and electron–MHD equations
• Formation of Finite-Time Singularities in the 3D Axisymmetric Euler Equations: A Numerics Guided Study
• On the Euler equations of incompressible fluids
• Limiting case of the Sobolev inequality in BMO, with application to the Euler equations

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