The two dimensional Euler equations on singular exterior domains

DOI10.1007/s00205-015-0889-3zbMath1325.35149arXiv1311.5988OpenAlexW2135715000MaRDI QIDQ887923

David Gérard-Varet, Christophe Lacave

Publication date: 4 November 2015

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.5988

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Euler equations (35Q31)

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Euler equations on general planar domains ⋮ Impermeability through a perforated domain for the incompressible two dimensional Euler equations ⋮ The two dimensional Euler equations on singular exterior domains ⋮ Uniqueness of positive vorticity solutions to the 2d Euler equations on singular domains ⋮ A note on the regularity of the holes for permeability property through a perforated domain for the 2D Euler equations ⋮ The Vortex Method for Two-Dimensional Ideal Flows in Exterior Domains ⋮ Permeability through a perforated domain for the incompressible 2D Euler equations ⋮ On the motion of a small body immersed in a two-dimensional incompressible perfect fluid ⋮ 3D viscous incompressible fluid around one thin obstacle ⋮ Topography influence on the lake equations in bounded domains ⋮ The vanishing viscosity limit for 2D Navier-Stokes in a rough domain ⋮ Weak vorticity formulation of the incompressible 2D Euler equations in bounded domains ⋮ The Euler equations in planar domains with corners ⋮ The 2D compressible Euler equations in bounded impermeable domains with corners ⋮ On the 2D ``viscous incompressible fluid + rigid body system with Navier conditions and unbounded energy ⋮ Uniqueness for Two-Dimensional Incompressible Ideal Flow on Singular Domains ⋮ Uniqueness of the 2D Euler equation on a corner domain with non-constant vorticity around the corner ⋮ Blow up for the 2D Euler equation on some bounded domains

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