2D Euler equation on the strip: Stability of a rectangular patch

DOI10.1080/03605302.2016.1258576zbMath1362.76006arXiv1605.04230OpenAlexW2962917910MaRDI QIDQ2986677

Jennifer Beichman, Sergey A. Denisov

Publication date: 16 May 2017

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.04230

zbMATH Keywords

stability2D Eulerpatch of vorticity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (8)

Stability of radially symmetric, monotone vorticities of 2D Euler equations ⋮ Stability of Lamb dipoles ⋮ On the growth of the support of positive vorticity for 2D Euler equation in an infinite cylinder ⋮ Stability of Hill's spherical vortex ⋮ On the estimate of distance traveled by a particle in a disk-like vortex patch ⋮ Kármán vortex street in incompressible fluid models ⋮ Symmetry in stationary and uniformly rotating solutions of active scalar equations ⋮ Stability of monotone, nonnegative, and compactly supported vorticities in the half cylinder and infinite perimeter growth for patches

Cites Work

• Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations
• Nonlinear stability of circular vortex patches
• Dynamics near an unstable Kirchhoff ellipse
• A characterization at infinity of bounded vorticity, bounded velocity solutions to the 2D Euler equations
• Stability in 𝐿¹ of circular vortex patches
• On nonlinear stability of stationary planar Euler flows in an unbounded strip

This page was built for publication: 2D Euler equation on the strip: Stability of a rectangular patch