10/02/2026, 15:00 — 16:00 —
Room P4.35, Mathematics Building
Nikolai Chemetov, Department of Computing and Mathematics-FFCLRP, University of São Paulo, Brazil
A boundary control problem for stochastic 2D-Navier-Stokes equations
In this talk, we discuss a stochastic velocity tracking problem for the 2D-Navier-Stokes equations perturbed by a multiplicative Gaussian noise. From physical point of view, the control acts through a boundary injection/suction device with uncertainty, modelled by non-homogeneous Navier-slip boundary conditions. We show the existence and uniqueness of solution to the state equation and prove the existence of an optimal solution to the control problem. In addition, the first-order necessary optimization conditions are analysed.
N.V. Chemetov acknowledges support from FAPESP, Grant 2024/16483-5: Theoretical study of mathematical models in fluid dynamics.
Joint work with Fernanda Cipriano (New University of Lisbon, Portugal).
References
- N.V. Chemetov, F. Cipriano, Optimal control of Newtonian fluids in a stochastic environment. SIAM Journal on Mathematical Analysis, 57 (1), 364-403, 2025.
- N.V. Chemetov, F. Cipriano, A boundary control problem for stochastic 2D-Navier-Stokes equations. Journal of Optimization Theory and Applications 203 (2), 1847-1879, 2024.
