The vorticity equations in a half plane with measures as initial data

نویسندگان

چکیده

Abstract We consider the two-dimensional Navier-Stokes equations subject to Dirichlet boundary condition in a half plane for initial vorticity with finite measures. study local well-posedness of associated measures small pure point part and global total variation. Our construction is based on an L 1 -estimate solution operator Stokes equations.

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ژورنال

عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire

سال: 2021

ISSN: ['0294-1449', '1873-1430']

DOI: https://doi.org/10.1016/j.anihpc.2020.10.002