[01271] Localized and degenerate controls for the incompressible Navier--Stokes system
Session Time & Room : 2E (Aug.22, 17:40-19:20) @F412
Type : Contributed Talk
Abstract : This talk concerns the global approximate controllability of incompressible Newtonian fluids driven by a physically localized and degenerate interior control. By introducing transported Fourier modes as building blocks, we act on the planar Navier--Stokes system via four scalar controls that depend only on time and appear as coefficients in an effectively constructed driving force supported in a given subdomain. The four unknown parameters can be computed by merely solving a linear transport controllability problem.
