Some elementary estimates for the Navier-Stokes system

DOI10.1090/S0002-9939-09-09989-4zbMath1176.35125OpenAlexW1972704541MaRDI QIDQ3182573

Jean C. Cortissoz

Publication date: 9 October 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-09989-4

zbMATH Keywords

regularityNavier-Stokes equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (1)

On the blow-up behavior of a nonlinear parabolic equation with periodic boundary conditions

Cites Work

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• The regularity of weak solutions of the 3D Navier-Stokes equations in \(B^{-1}_{\infty,\infty}\)
• Global existence and uniqueness theorem for 3D-Navier-Stokes system on \(\mathbb T^3\) for small initial conditions in the spaces \(\Phi(\alpha)\)
• Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
• Regularity criterion of weak solutions to the Navier-Stokes equations
• Recent results on mathematical and statistical hydrodynamics
• AN ELEMENTARY PROOF OF THE EXISTENCE AND UNIQUENESS THEOREM FOR THE NAVIER–STOKES EQUATIONS
• L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness

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