Interpolation, extrapolation, Morrey spaces and local energy control for the Navier–Stokes equations

DOI10.4064/bc119-16zbMath1431.35067arXiv1901.05649OpenAlexW2994709891WikidataQ126533812 ScholiaQ126533812MaRDI QIDQ5208974

Pierre Gilles Lemarié Rieusset

Publication date: 22 January 2020

Published in: Banach Center Publications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.05649

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Related Items (4)

About local continuity with respect to \(L_2\) initial data for energy solutions of the Navier-Stokes equations ⋮ A remark on weak-strong uniqueness for suitable weak solutions of the Navier-Stokes equations ⋮ Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations ⋮ On the uniqueness of a suitable weak solution to the Navier-Stokes Cauchy problem

Cites Work

• Erratum to: ``Multipliers and Morrey spaces
• The Navier-Stokes equations in the critical Morrey-Campanato space
• Bilinear estimates in \(BMO\) and the Navier-Stokes equations
• Uniqueness results for weak Leray-Hopf solutions of the Navier-Stokes system with initial values in critical spaces
• Multipliers and Morrey spaces
• Un teorema di unicita per le equazioni di Navier-Stokes
• The Navier-Stokes Problem in the 21st Century
• Solutions faibles d'énergie infinie pour les équations de Navier—Stokes dans ℝ3
• Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data
• Partial regularity of suitable weak solutions of the navier-stokes equations
• Well-posedness for the Navier-Stokes equations
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