DMS Applied and Computational Mathematics Seminar

Time: Dec 02, 2022 (02:00 PM)
Location: 328 Parker Hall

Speaker: Dr. Tuoc PhanUniversity of Tennessee Knoxville
Title: On local interior and boundary estimates for Stokes systems with singular measurable coefficients and applications
Abstract: We study non-stationary Stokes systems with measurable coefficients that are allowed to be singular. Interior estimates in Lebesgue mixed norm spaces are proved under a smallness condition on the mean oscillations of the coefficients.  As an application, a new epsilon-regularity criterion for Leray-Hopf weak solutions of Navier-Stokes equations is introduced, which in turn implies some borderline cases of the well-known Serrin's regularity criterion. Some results on local boundary estimates are also presented and the optimality of the smallness condition on the mean oscillations of the coefficients will be discussed. The results in the talk are based on my joint papers with Hongjie Dong (Brown University), Juraj Foldes (University of Virginia), and Doyoon Kim (Korea University).
Faculty host: Selim Sukhtaiev