A Hamiltonian description of finite-time singularity in Euler's fluid equations

DOI10.1016/j.physleta.2023.129078arXiv2011.10864MaRDI QIDQ6095178

Yoshifumi Kimura, Philip J. Morrison

Publication date: 12 October 2023

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.10864

zbMATH Keywords

HamiltonianEuler's equationsfinite-time singularityintegrableLeray

Mathematics Subject Classification ID

Hamilton's equations (70H05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Errata and addenda
• Rattleback: a model of how geometric singularity induces dynamic chirality
• Hamiltonian description of the ideal fluid
• The 3D Navier-Stokes Problem
• Towards a finite-time singularity of the Navier–Stokes equations Part 1. Derivation and analysis of dynamical system
• Deformation of Lie–Poisson algebras and chirality
• A tent model of vortex reconnection under Biot–Savart evolution
• Enstrophy and circulation scaling for Navier–Stokes reconnection
• Towards a finite-time singularity of the Navier–Stokes equations. Part 2. Vortex reconnection and singularity evasion
• Vortex collapse and turbulence
• Hamiltonian moment reduction for describing vortices in shear

This page was built for publication: A Hamiltonian description of finite-time singularity in Euler's fluid equations