Hyunwoo Kwon will give a talk at 11/26/2024.

I will present the joint work with Hongjie Dong on nonstationary Stokes equations with variable coefficients. In the first lecture, I will present local Sobolev regularity estimates for Stokes equations when the variable viscosity coefficients have vanishing mean oscillations in spatial variables. Boundary local estimates will also be discussed when the equations are in nondivergence form. Weighted solvability for Stokes equations plays a crucial role to obtain such results. Our result is sharp based on the well-known Serrin’s example.