A characterization at infinity of bounded vorticity, bounded velocity solutions to the 2D Euler equations
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Publication:2788633
DOI10.1512/iumj.2015.64.5717zbMath1353.76007arXiv1404.3404OpenAlexW2964011915MaRDI QIDQ2788633
Publication date: 22 February 2016
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.3404
Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)
Related Items (13)
Perfect fluid flows on \(\mathbb{R}^d\) with growth/decay conditions at infinity ⋮ On the growth of the support of positive vorticity for 2D Euler equation in an infinite cylinder ⋮ Existence of solutions to fluid equations in Hölder and uniformly local Sobolev spaces ⋮ Contour Dynamics and Global Regularity for Periodic Vortex Patches and Layers ⋮ Bounded solutions in incompressible hydrodynamics ⋮ Infinite energy solutions of the two-dimensional Navier–Stokes equations ⋮ 2D Euler equation on the strip: Stability of a rectangular patch ⋮ Well-posedness of the 2D Euler equations when velocity grows at infinity ⋮ Incompressible Euler equations and the effect of changes at a distance ⋮ Serfati solutions to the 2D Euler equations on exterior domains ⋮ The incompressible Euler equations under octahedral symmetry: singularity formation in a fundamental domain ⋮ Stability of monotone, nonnegative, and compactly supported vorticities in the half cylinder and infinite perimeter growth for patches ⋮ On Singular Vortex Patches, I: Well-posedness Issues
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