On uniqueness for the Navier--Stokes system in 3D-bounded Lipschitz domains.

DOI10.1006/jfan.2002.3902zbMath1034.35095OpenAlexW1964535849MaRDI QIDQ1865291

Sylvie Monniaux

Publication date: 26 March 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2002.3902

zbMATH Keywords

maximal \(L^p\)-regularity

Mathematics Subject Classification ID

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

Related Items (8)

On the space-time regularity of \(C(0,T;L^n)\)-very weak solutions to the Navier-Stokes equations ⋮ Hölder continuous solutions for integro-differential equations and maximal regularity ⋮ Jean Leray: Sur le mouvement d'un liquide visqueux emplissant l'espace. Acta Math. 63 (1934), 193--248 ⋮ Solutions of Navier–Stokes–Maxwell systems in large energy spaces ⋮ Uniqueness of solutions of the Navier-Stokes system in \(L^d\): the case of Lipschitz domains ⋮ Maximal regularity for perturbed integral equations on periodic Lebesgue spaces ⋮ The stationary Navier-Stokes system in nonsmooth manifolds: the Poisson problem in Lipschitz and \(C^{1}\) domains ⋮ Regularity properties of degenerate convolution-elliptic equations

Cites Work

• Unnamed Item
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• Domains of fractional powers of the Stokes operator in \(L_ r\) spaces
• Analyticity of the semigroup generated by the Stokes operator in \(L_r\) spaces
• On the strong solvability of the Navier-Stokes equations
• The inhomogeneous Dirichlet problem in Lipschitz domains
• Change of variables for absolutely continuous functions
• Boundary Value Problems for Parabolic Lame Systems and a Nonstationary Linearized System of Navier-Stokes Equations in Lipschitz Cylinders
• Unicité des solutions faibles de Navier-Stokes dans LN(Ω)
• Uniqueness of mild solutions of the Navier-Stokes equation and maximal Lp-regularity
• Heat kernels and maximal l^p—l^qestimates for parabolic evolution equations
• Sur l'unicité dans L3ℝ3 des solutions « mild » des équations de Navier-Stokes
• Maximal regularity and kernel bounds: observations on a theorem by Hieber and Prüss

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