Complex-space singularities of 2D Euler flow in Lagrangian coordinates

DOI10.1016/j.physd.2007.11.007zbMath1143.76522arXiv0709.0219OpenAlexW1985605382MaRDI QIDQ942752

Takeshi Matsumoto, Jérémie Bec, Uriel Frisch

Publication date: 5 September 2008

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.0219

zbMATH Keywords

Euler equationcomplex singularitiesanalyticity strip methodLagrangian frame

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Incompressible inviscid fluids (76B99)

Related Items (7)

Searching for singularities in Navier-Stokes flows based on the Ladyzhenskaya-Prodi-Serrin conditions ⋮ Systematic search for singularities in 3D Euler flows ⋮ On singularity formation of a 3D model for incompressible Navier-Stokes equations ⋮ Extreme vortex states and the growth of enstrophy in three-dimensional incompressible flows ⋮ On maximum enstrophy growth in a hydrodynamic system ⋮ Maximum amplification of enstrophy in three-dimensional Navier–Stokes flows ⋮ Singularity formation for Prandtl's equations

Cites Work

• Unnamed Item
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• Tracing complex singularities with spectral methods
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Analyticite des solutions des équations d'Euler
• Transport equations due to the non-Lipschitzian vector fields and fluid mechanics
• Singularities of Euler flow? Not out of the blue!
• Un théorème sur l'existence du mouvement plan d'un fluide parfait, homogene, incompressible, pendant un temps infiniment long
• Über die unbeschränkte Fortsetzbarkeit einer stetigen ebenen Bewegung in einer unbegrenzten inkompressiblen Flüssigkeit
• Nature of complex singularities for the 2D Euler equation
• Lagrangian singularities of steady two-dimensional flow
• The analytic structure of 2D Euler flow at short times

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