A logarithmic regularity criterion for 3D Navier-Stokes system in a bounded domain

[1] Azzam J(2015)Bounded mean oscillation and the uniqueness of active scalar equations Trans. Am. Math. Soc 567 3095-3118

[2] Bedrossian J(2009)Navier-Stokes equations: Green’s matrices, vorticity direction, and regularity up to the boundary J. Differ. Equation 37 597-628

[3] Beirao da Veiga H(2010)Sharp inviscid limit results under Navier type boundary conditions An V theory. J. Math. Fluid Mech 37 397-411

[4] Berselli L C(1985)variational approach for the vector potential formulation of the Stokes and Navier-Stokes problems in three-dimensional domains J. Math. Anal. Appl 107 537-560

[5] Beirao da Veiga H(2002)On a regularity criterion for the solutions to the 3D Navier-Stokes equations Differ. Integral Equ 37 1129-1137

[6] Crispo F(1979)Some boundary value problems for differential forms on compact Riemannian manifolds Ann. Mat. Pura Appl 122 159-198

[7] Bendali A(1986)Solutions for semilinear parabolic equations in J. Differ. Equation 37 186-212

[8] Dominguez J M(2016) and regularity of weak solutions of the Navier-Stokes system Appl. Math. Comput 37 148-151

[9] Gallic: A S(1951)On regularity for the Boussinesq system in a bounded domain Math. Nachr 37 213-231

[10] Berselli L C(2012)Über die Anfangswertaufgabe fur die hydrodynamischen Grundgleichungen J. Differ. Equation 37 2222-2265

[1] Azzam J(2015)Bounded mean oscillation and the uniqueness of active scalar equations Trans. Am. Math. Soc 567 3095-3118

[2] Bedrossian J(2009)Navier-Stokes equations: Green’s matrices, vorticity direction, and regularity up to the boundary J. Differ. Equation 37 597-628

[3] Beirao da Veiga H(2010)Sharp inviscid limit results under Navier type boundary conditions An V theory. J. Math. Fluid Mech 37 397-411

[4] Berselli L C(1985)variational approach for the vector potential formulation of the Stokes and Navier-Stokes problems in three-dimensional domains J. Math. Anal. Appl 107 537-560

[5] Beirao da Veiga H(2002)On a regularity criterion for the solutions to the 3D Navier-Stokes equations Differ. Integral Equ 37 1129-1137

[6] Crispo F(1979)Some boundary value problems for differential forms on compact Riemannian manifolds Ann. Mat. Pura Appl 122 159-198

[7] Bendali A(1986)Solutions for semilinear parabolic equations in J. Differ. Equation 37 186-212

[8] Dominguez J M(2016) and regularity of weak solutions of the Navier-Stokes system Appl. Math. Comput 37 148-151

[9] Gallic: A S(1951)On regularity for the Boussinesq system in a bounded domain Math. Nachr 37 213-231

[10] Berselli L C(2012)Über die Anfangswertaufgabe fur die hydrodynamischen Grundgleichungen J. Differ. Equation 37 2222-2265