Work

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

Year: 2022

Type: article

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)'.

Source: Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences

DOI: 10.1098/rsta.2021.0073

Authors: Claude W. Bardos, Edriss S. Titi

Institutions: Laboratoire Jacques-Louis Lions, University of Cambridge, Weizmann Institute of Science, Texas A&M University

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4205723111

FWCI: 1.425

Cites: 17

Cited by: 8

Related to: 8