Events for 02/16/2016 from all calendars

Nonlinear Partial Differential Equations

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Andrei V. Fursikov, Moscow State University

Title: Parabolic Equation of normal type connected with 3D Helmholtz system

Abstract:

Abstract:
I will tell on the normal parabolic equation (NPE) connected with 3D Helmholtz system whose nonlinear term B(v) is orthogonal projection of nonlinear term for Helmholtz system on the ray generated by vector v. NPE is interesting by the following reasons: 1) Its study open the way to construct the method of nonlocal stabilization by feedback control for 3D Helmholtz as well as for 3D Navier-Stokes equations. 2) Its study can help to understand better difficulties that one should overcome for solution of Millenium problem for 3D Navier-Stokes equations. I will describe the structure of dynamical flow corresponding to this NPE. Besides, I will fomulate nonlocal stabilization problem for NPE introduced above by starting control supported on arbitrary fixed subset with nonempty interior. The main steps of solution to this problem will be discussed and connection of this problem with nonlocal stabilization problem for 3D Helmholtz system will be explained.

Junior Algebra & Geometry Seminar

Time: 4:00PM - 5:00PM

Location: BLOC 628

Speaker: Timo de Wolff

Title: What is tropical geometry?