Further remarks on the analyticity of mild solutions for the Navier-Stokes equations in \(\mathbb R^3\)

DOI10.1016/j.crma.2004.01.015zbMath1047.35112OpenAlexW3169232489MaRDI QIDQ1433382

Pierre Gilles Lemarié Rieusset

Publication date: 15 June 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.01.015

Mathematics Subject Classification ID

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

Related Items (8)

Radius of analyticity of solutions to compressible Navier–Stokes–Korteweg system ⋮ On the instantaneous radius of analyticity of \(L^p\) solutions to 3D Navier-Stokes system ⋮ On the radius of analyticity of solutions to the three-dimensional Euler equations ⋮ Real Variable Methods in Harmonic Analysis and Navier–Stokes Equations ⋮ Local-in-time solvability and space analyticity for the Navier-Stokes equations with BMO-type initial data ⋮ On the radius of analyticity of solutions to 3D Navier-Stokes system with initial data in \(L^p\) ⋮ Remarks on the decay of Fourier coefficients to solutions of Navier-Stokes system ⋮ Local analyticity radii of solutions to the 3D Navier-Stokes equations with locally analytic forcing

Cites Work

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• Gevrey class regularity for the solutions of the Navier-Stokes equations
• Space analyticity for the Navier-Stokes and related equations with initial data in \(L^p\)
• Une remarque sur l'analyticité des solutions milds des équations de Navier–Stokes dans
• On the analyticity and the unique continuation theorem for solutions of the Navier-Stokes equation
• Uniqueness for mild solutions of Navier-Stokes equations in \(L^3(\mathbb{R}^3)\) and other limit functional spaces

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