C0,α boundary regularity for the pressure in weak solutions of the 2d Euler equations.


Type
Article
Change log
Authors
Titi, Edriss S 
Abstract

The purpose of this article is to give a complete proof of a [Formula: see text] regularity result for the pressure for weak solutions of the two-dimensional 'incompressible Euler equations' when the fluid velocity enjoys the same type of regularity in a compact simply connected domain with [Formula: see text] boundary. To accomplish our result, we realize that it is compulsory to introduce a new weak formulation for the boundary condition of the pressure, which is consistent with, and equivalent to, that of classical solutions. This article is part of the theme issue 'Scaling the turbulence edifice (part 1)'.

Description
Keywords
Euler equations, boundary effects, pressure regularity
Journal Title
Philos Trans A Math Phys Eng Sci
Conference Name
Journal ISSN
1364-503X
1471-2962
Volume Title
380
Publisher
The Royal Society