Well-posedness results for the  Navier-Stokes equations in the rotational framework

Matthias Hieber; Sylvie Monniaux

doi:10.3934/dcds.2013.33.5143

Article Contents

2013, Volume 33, Issue 11&12: 5143-5151. Doi: 10.3934/dcds.2013.33.5143

This issue Previous Article Partial reconstruction of the source term in a linear parabolic initial problem with Dirichlet boundary conditions Next Article Multiplicity results for classes of singular problems on an exterior domain

Well-posedness results for the Navier-Stokes equations in the rotational framework

Matthias Hieber^1, and
Sylvie Monniaux^2,

1.
Fachbereich Mathematik, Angewandte Analysis, Technische Universität Darmstadt, Schlossgartenstr. 7, 64289 Darmstadt
2.
LATP UMR 6632, CMI, Technopôle de Château-Gombert, 39 rue Frédéric Joliot-Curie, 13453 Marseille Cedex 13

Received: January 2012

Revised: July 2012

Published: November 2013

Abstract / Introduction Related Papers Cited by

Abstract

Consider the Navier-Stokes equations in the rotational framework either on $\mathbb{R}^3$ or on open sets $\Omega \subset \mathbb{R}^3$ subject to Dirichlet boundary conditions. This paper discusses recent well-posedness and ill-posedness results for both situations.

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Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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