Work

On the decay and Gevrey regularity of the solutions to the Navier–Stokes equations in general two-dimensional domains

Year: 2025

Type: article

Abstract: The present paper is devoted to the proof of time decay estimates for derivatives at any order of finite energy global solutions of the Navier–Stokes equations in general two-dimensional domains. These estimates only depend on the order of derivation and on the L 2 norm of the initial data. The same elementary method just based on energy estimates and Ladyzhenskaya inequality also leads to Gevrey regularity results.

Source: Annales de la faculté des sciences de Toulouse Mathématiques

DOI: 10.5802/afst.1797

Author: Raphaël Danchin

Institutions: Centre National de la Recherche Scientifique, Université Paris-Est Créteil, Sorbonne Université, Laboratoire d’Analyse et de Mathématiques Appliquées, Université Gustave Eiffel, Laboratoire Jacques-Louis Lions

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409765242

FWCI: 1.876

Cites: 16

Cited by: 1

Related to: 10