C0, boundary regularity for the pressure in weak solutions of the 2d Euler equations. Academic Article uri icon


  • 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)'.

published proceedings

  • Philos Trans A Math Phys Eng Sci

altmetric score

  • 1.25

author list (cited authors)

  • Bardos, C. W., & Titi, E. S.

citation count

  • 5

complete list of authors

  • Bardos, Claude W||Titi, Edriss S

publication date

  • March 2022