A local regularity condition involving two velocity components of Serrin-type for the Navier-Stokes equations

作者：Bae Hyeong Ohk^*; Wolf Joerg^*

来源：Comptes Rendus Mathematique, 2016, 354(2): 167-174.

DOI：10.1016/j.crma.2015.10.020

The present paper deals with the problem of local regularity of weak solutions to the Navier-Stokes equation in Omega x (0, T) with forcing term f in L-2. We prove that u is strong in a sub-cylinder Q(r) subset of Omega x (0, T) if two velocity components u(1), u(2) satisfy a Serrin-type condition.

• 出版日期2016-2