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The Navier–Stokes equations in mixed-norm time-space parabolic Morrey spaces

Pierre Gilles Lemarié-Rieusset

Vol. 6 (2024), No. 1, 137–155
Abstract

We discuss the Navier–Stokes equations with forces in the mixed-norm time-space parabolic Morrey spaces of Krylov.

Keywords
Navier–Stokes equations, heat equation, parabolic Morrey spaces, mild solutions
Mathematical Subject Classification
Primary: 35K55, 35Q30, 76D05
Milestones
Received: 1 June 2023
Revised: 23 July 2023
Accepted: 27 August 2023
Published: 20 January 2024
Authors
Pierre Gilles Lemarié-Rieusset
LaMME
Univ Evry
CNRS
Université Paris-Scalay
Evry
France