Ill-posedness in Fourier–Herz spaces of the 3D Navier–Stokes equations with hyper-dissipation

DOI10.4064/CM7030-4-2017zbMath1397.35177OpenAlexW2790923175MaRDI QIDQ4634578

Zhijie Nan, Jia Yuan

Publication date: 10 April 2018

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm7030-4-2017

zbMATH Keywords

Navier-Stokes equationscontinuous dependence on initial dataill-posednessFourier-Herz space

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Cites Work

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• Ill-posedness of the Navier-Stokes equations in a critical space in 3D
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• Hyperbolic operators with non-Lipschitz ceofficients
• Convolution operators and L(p, q) spaces
• Existence and uniqueness of solutions for Navier-Stokes equations with hyper-dissipation in a large space
• Fourier Analysis and Nonlinear Partial Differential Equations
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Well-posedness for the Navier-Stokes equations

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