On Type I blowups of suitable weak solutions to the Navier-Stokes equations near boundary

DOI10.1007/s10958-021-05673-zOpenAlexW4206117729MaRDI QIDQ2667852

Yanyan Li

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/1901.08842

zbMATH Keywords

Navier-Stokes equationsweak solutionsblowups

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44)

Related Items (3)

Finite energy Navier-Stokes flows with unbounded gradients induced by localized flux in the half-space ⋮ Scale-invariant estimates and vorticity alignment for Navier-Stokes in the half-space with no-slip boundary conditions ⋮ On local type I singularities of the Navier -- Stokes equations and Liouville theorems

Cites Work

• On a bounded shear flow in a half-space
• Ancient solutions to Navier-Stokes equations in half space
• Unbounded normal derivative for the Stokes system near boundary
• Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary
• On local type I singularities of the Navier -- Stokes equations and Liouville theorems
• Remark on Wolf's condition for boundary regularity of the Navier-Stokes equations
• A note on local boundary regularity for the Stokes system
• Rescalings at possible singularities of Navier–Stokes equations in half-space

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