Displaying similar documents to “Local exact controllability to the trajectories of the Navier-Stokes system with nonlinear Navier-slip boundary conditions”

Null controllability of the heat equation with boundary Fourier conditions: the linear case

Enrique Fernández-Cara, Manuel González-Burgos, Sergio Guerrero, Jean-Pierre Puel (2006)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper, we prove the global null controllability of the linear heat equation completed with linear Fourier boundary conditions of the form ∂ y ∂ n + β y = 0 . We consider distributed controls with support in a small set and nonregular coefficients β = β ( x , t ) . For the proof of null controllability, a crucial tool will be a new Carleman estimate for the weak solutions of the classical heat equation with nonhomogeneous Neumann boundary conditions.