On the boundary regularity of suitable weak solutions to the Navier-Stokes equations
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Publication:627005
DOI10.1007/s11565-010-0091-3zbMath1205.35213OpenAlexW2086318276MaRDI QIDQ627005
Publication date: 19 February 2011
Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11565-010-0091-3
Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
Related Items (8)
On regularity of a weak solution to the Navier-Stokes equations with the generalized Navier slip boundary conditions ⋮ A note on the Caccioppoli inequality for biharmonic operators ⋮ Boundary Lebesgue mixed-norm estimates for non-stationary Stokes systems with VMO coefficients ⋮ Boundary characteristic point regularity for Navier-Stokes equations: blow-up scaling and petrovskii-type criterion (a formal approach) ⋮ Boundary partial regularity for the high dimensional Navier-Stokes equations ⋮ Boundary regularity criteria for suitable weak solutions of the magnetohydrodynamic equations ⋮ Regularity up to the boundary for the gradient of solutions of linear elliptic systems withVMO-coefficients andL1,λdata ⋮ Regularity criteria for suitable weak solutions to the four dimensional incompressible magneto-hydrodynamic equations near boundary
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