Weak solutions of the 3D incompressible Navier-Stokes equations in bounded smooth domains are regular near the boundary whenever their space-time L^4 norm is below a domain-dependent threshold.
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Unconditional axis regularity for 3D axisymmetric Navier-Stokes is established by a 5D radial lift reducing the problem to weighted cylinder estimates and a contractive Morrey iteration in the alpha corridor between 3/4 and 1.
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Boundary epsilon regularity for incompressible Navier--Stokes equations via weak-strong uniqueness
Weak solutions of the 3D incompressible Navier-Stokes equations in bounded smooth domains are regular near the boundary whenever their space-time L^4 norm is below a domain-dependent threshold.
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Unconditional Axis-Regularity in the 5D Corridor
Unconditional axis regularity for 3D axisymmetric Navier-Stokes is established by a 5D radial lift reducing the problem to weighted cylinder estimates and a contractive Morrey iteration in the alpha corridor between 3/4 and 1.