Localized and Degenerate Controls for the Incompressible Navier–Stokes System
Time: 2023-11-11
Published By: He Liu
Speaker(s): Manuel Rissel(NYU Shanghai)
Time: 16:00-17:00 November 13, 2023
Venue: Room 77201, Jingchunyuan 78, BICMR
I will discuss the global approximate controllability of the two-dimensional incompressible Navier–Stokes system steered by a physically localized and degenerate force; more precisely, the fluid is regulated via four scalar controls that are functions only of time and which appear as coefficients in an effectively constructed driving force. This provides a partial answer to an open problem posed by A. A. Agrachev.
My talk is based on a joint work with Vahagn Nersesyan (NYU Shanghai).