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Unique continuation property near a corner and its fluid-structure controllability consequences

Axel Osses, Jean-Pierre Puel (2009)

ESAIM: Control, Optimisation and Calculus of Variations

We study a non standard unique continuation property for the biharmonic spectral problem Δ 2 w = - λ Δ w in a 2D corner with homogeneous Dirichlet boundary conditions and a supplementary third order boundary condition on one side of the corner. We prove that if the corner has an angle 0 < θ 0 < 2 π , θ 0 π and θ 0 3 π / 2 , a unique continuation property holds. Approximate controllability of a 2-D linear fluid-structure problem follows from this property, with a control acting on the elastic side of a corner in a domain containing a Stokes...

Unique continuation property near a corner and its fluid-structure controllability consequences

Axel Osses, Jean-Pierre Puel (2008)

ESAIM: Control, Optimisation and Calculus of Variations

We study a non standard unique continuation property for the biharmonic spectral problem Δ 2 w = - λ Δ w in a 2D corner with homogeneous Dirichlet boundary conditions and a supplementary third order boundary condition on one side of the corner. We prove that if the corner has an angle 0 < θ 0 < 2 π , θ 0 π and θ 0 3 π / 2 , a unique continuation property holds. Approximate controllability of a 2-D linear fluid-structure problem follows from this property, with a control acting on the elastic side of a corner in a domain containing...

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