On a toy-model related to the Navier-Stokes equations

DOI10.1007/s10958-021-05677-9OpenAlexW4206398351MaRDI QIDQ2667856

Francis Hounkpe

Publication date: 2 March 2022

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.06392

zbMATH Keywords

incompressible Navier-Stokes systemCaffarelli-Kohn-Nirenberg-type theorem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Symmetries, invariants, etc. in context of PDEs (35B06)

Cites Work

• On a bounded shear flow in a half-space
• On divergence-free drifts
• Incompressible 3D Navier-Stokes equations as a limit of a nonlinear parabolic system
• On the partial regularity of weak solutions on nonlinear parabolic systems
• Blow ups of complex solutions of the 3D Navier-Stokes system and renormalization group method
• Finite time blow up for a Navier-Stokes like equation
• Finite time blowup for an averaged three-dimensional Navier-Stokes equation
• Lecture Notes on Regularity Theory for the Navier-Stokes Equations
• Remarks on the blow-up of solutions to a toy model for the Navier-Stokes equations
• A new proof of the Caffarelli-Kohn-Nirenberg theorem
• Singular and regular solutions of a nonlinear parabolic system
• Partial regularity of suitable weak solutions of the navier-stokes equations
• L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness
• Well-posedness for the Navier-Stokes equations

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