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Partial Regularity of solutions to the Four-dimensional Navier-Stokes equations at the first blow-up time

Hongjie Dong·Dapeng Du
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Abstract

The solutions of incompressible Navier-Stokes equations in four spatial dimensions are considered. We prove that the two-dimensional Hausdorff measure of the set of singular points at the first blow-up time is equal to zero.

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Hongjie Dong, Dapeng Du. 2006-12-19. Partial Regularity of solutions to the Four-dimensional Navier-Stokes equations at the first blow-up time. https://doi.org/10.1007/s00220-007-0259-6

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