HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

C 0, α boundary regularity for the pressure in weak solutions of the 2 d Euler equations

Abstract : The purpose of this article is to give a complete proof of a C 0 , α 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 C 2 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)’.
Document type :
Journal articles
Complete list of metadata

https://hal-univ-paris.archives-ouvertes.fr/hal-03667771
Contributor : Equipe Hal Université Paris Cité Connect in order to contact the contributor
Submitted on : Friday, May 13, 2022 - 3:44:33 PM
Last modification on : Saturday, May 14, 2022 - 3:36:46 AM

Links full text

Identifiers

Citation

Claude Bardos, Edriss Titi. C 0, α boundary regularity for the pressure in weak solutions of the 2 d Euler equations. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Royal Society, The, 2022, 380 (2218), ⟨10.1098/rsta.2021.0073⟩. ⟨hal-03667771⟩

Share

Metrics

Record views

0