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Start Over Author "Wang, Kunrui" Topic analysis of pdes (math.ap)
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1. Boundary $\varepsilon$-regularity criteria for the 3D Navier-Stokes equations

Author

Dong, Hongjie and Wang, Kunrui

Subjects
Physics::Fluid Dynamics, Mathematics - Analysis of PDEs, FOS: Mathematics, Mathematics::Analysis of PDEs, Analysis of PDEs (math.AP)
Abstract

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]., 18 pages, submitted

Published
2018

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