Mini-Courses on Stationary Navier-Stokes Equations
报告人：杨卓仑 (Rutgers 大学)
Time: Dec 17 to 20, 10:00am—12:00pm, Dec 21, 8:20am—10:20am
Venue: Dec 17,18,20, 21 at 1129, Dec 19 at 1224
Title: Existence of regular solutions to the stationary Navier-Stokes equation
Abstract: Every weak solution to the stationary Navier-Stokes equation is known to be regular in dimension $n\le 4$. This statement is still open for $n\ge 5$. In a series of papers, J. Frehse and M. Ruzicka proved the existence of a regular solution in $n=5, 6$ for 0-boundary case, and $5\le n \le 15$ for periodic boundary case. In this talk, I will present their proof, and some improvements made by T. Tsai.
Time: Dec 17--21, 1:30pm—3:30pm
Venue: Dec 17,19,20, 21 at 1129, Dec 18 at 1124.
Title: Asymptotic properties of D-solutions of stationary Navier-Stokes equations in the plane
Abstract: I will present two classical papers of Gilbarg-Weinberger in 1974 & 1978 on Leray's problem of stationary Navier-Stokes flow past a body in 2D. Towards the end, I will mention some recent progress on the problem and explain the ideas without giving detailed proofs.