Uniqueness of solutions of the Navier-Stokes system in \(L^d\): the case of Lipschitz domains

DOI10.5802/ambp.169zbMath1050.35072OpenAlexW2327570102MaRDI QIDQ1431003

Sylvie Monniaux

Publication date: 27 May 2004

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_2003__10_1_107_0

zbMATH Keywords

Navier-Stokes systemLipschitz domain\(L^d\) uniquenessnon autonomous Stokes problem

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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Cites Work

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• Twisted face-pairing 3-manifolds
• Boundary Value Problems for Parabolic Lame Systems and a Nonstationary Linearized System of Navier-Stokes Equations in Lipschitz Cylinders
• Uniqueness of mild solutions of the Navier-Stokes equation and maximal Lp-regularity
• Uniqueness for mild solutions of Navier-Stokes equations in \(L^3(\mathbb{R}^3)\) and other limit functional spaces
• Solutions of incompressible Navier-Stokes equations in an exterior domain
• The Stokes resolvent in 3D domains with conical boundary points: nonregularity in \(L^ p\)-spaces.

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