arXiv:1812.09973 Abstract | arXiv Analytics

arXiv:1812.09973 [math.AP]Abstract References Reviews Resources

Boundary $\varepsilon$-regularity criteria for the 3D Navier-Stokes equations

Published 2018-12-24Version 1

We establish several boundary $\varepsilon$-regularity criteria for suitable weak solutions for the 3D incompressible Navier-Stokes equations in a half cylinder with the Dirichlet boundary condition on the flat boundary. Our proofs are based on delicate iteration arguments and interpolation techniques. These results extend and provide alternative proofs for the earlier interior results by Vasseur [18], Choi-Vasseur [2], and Phuc-Guevara [6].

Comments: 18 pages, submitted

Categories: math.AP

Keywords: 3d navier-stokes equations, regularity criteria, earlier interior results, 3d incompressible navier-stokes equations, dirichlet boundary condition

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