Abstract.
We show that if v is a weak solution to the Navier—Stokes equations in the class \( L^{\infty}(0,T;\, L^3(\Omega)^3) \) then the set of all possible singular points of v in \( \Omega \), at every time \( t_0\in(0,T) \), is at most finite and we also give the estimate of the number of the singular points.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Additional information
Accepted: April 29, 1999.
Rights and permissions
About this article
Cite this article
Neustupa, J. Partial Regularity of Weak Solutions to the Navier—Stokes Equations in the Class $ L^{\infty}(0,T;\, L^3(\Omega)^3) $. J. math. fluid mech. 1, 309–325 (1999). https://doi.org/10.1007/s000210050013
Issue Date:
DOI: https://doi.org/10.1007/s000210050013