UBC Diff. Geom, Math. Phys., PDE Seminar: Kyungkeun Kang

We study Caccioppoli’'s inequalities of the non-stationary Stokes equations and Navier-Stokes equations. Our analysis is local near boundary and we prove that, in contrast to the interior case, the Caccioppoli’'s inequalities of the Stokes equations and the Navier-Stokes equations, in general, fail near boundary. This is the joint work with Dr. Chang, Tong-Keun.