On Partial Regularity of Suitable Weak Solutions to the Three-Dimensional Navier—Stokes equations
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We prove a criterion of local Hölder continuity for suitable weak solutions to the Navier—Stokes equations. One of the main part of the proof, based on a blow-up procedure, has quite general nature and can be applied to other problems in spaces of solenoidal vector fields.
- On Partial Regularity of Suitable Weak Solutions to the Three-Dimensional Navier—Stokes equations
Journal of Mathematical Fluid Mechanics
Volume 1, Issue 4 , pp 356-387
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- Birkhäuser Verlag
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- Keywords. Navier—Stokes equations, initial-boundary value problems, partial regularity, Hausdorff's dimension.