arXiv:1811.01553 Abstract | arXiv Analytics

arXiv:1811.01553 [math.AP]Abstract References Reviews Resources

Strong continuity for the 2D Euler equations

Gianluca Crippa, Elizaveta Semenova, Stefano Spirito

Published 2018-11-05Version 1

We prove two results of strong continuity with respect to the initial datum for bounded solutions to the Euler equations in vorticity form. The first result provides sequential continuity and holds for a general bounded solution. The second result provides uniform continuity and is restricted to H\"older continuous solutions.

Categories: math.AP

Keywords: 2d euler equations, strong continuity, uniform continuity, sequential continuity, general bounded solution

Related articles: Most relevant | Search more

arXiv:1907.04131 [math.AP] (Published 2019-07-09)

A homogenized limit for the 2D Euler equations in a perforated domain

Matthieu Hillairet, Christophe Lacave, Di Wu

arXiv:math/0205115 [math.AP] (Published 2002-05-10)

Integrable Structures for 2D Euler Equations of Incompressible Inviscid Fluids

Yanguang Charles LI

arXiv:1306.5028 [math.AP] (Published 2013-06-21, updated 2014-04-21)

Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations

Jacob Bedrossian, Nader Masmoudi