Regularity of weak solutions to 3D incompressible Navier-Stokes equations. (English) Zbl 1239.35110

Han, Pigong

J. Evol. Equ. 10, No. 1, 195-204 (2010).

Summary: We establish some new local and global regularity properties for weak solutions of 3D non-stationary Navier-Stokes equations in the class of \(L^r (0,T;L^3(\Omega))\) with \(r \in [1,\infty)\), which are beyond Serrin’s condition.

MSC:

35Q30	Navier-Stokes equations
35B65	Smoothness and regularity of solutions to PDEs
76D03	Existence, uniqueness, and regularity theory for incompressible viscous fluids
76D05	Navier-Stokes equations for incompressible viscous fluids
35D30	Weak solutions to PDEs

Keywords:

Navier-Stokes equations; weak solution; existence

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