On the controllability of the burger equation
T. Horsin (1998)
ESAIM: Control, Optimisation and Calculus of Variations
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T. Horsin (1998)
ESAIM: Control, Optimisation and Calculus of Variations
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Jean-Michel Coron (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider a 1-D tank containing an inviscid incompressible irrotational fluid. The tank is subject to the control which consists of horizontal moves. We assume that the motion of the fluid is well-described by the Saint–Venant equations (also called the shallow water equations). We prove the local controllability of this nonlinear control system around any steady state. As a corollary we get that one can move from any steady state to any other steady state.
Lionel Rosier (1997)
ESAIM: Control, Optimisation and Calculus of Variations
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Anna Doubova, A. Osses, J.-P. Puel (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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The results of this paper concern exact controllability to the trajectories for a coupled system of semilinear heat equations. We have transmission conditions on the interface and Dirichlet boundary conditions at the external part of the boundary so that the system can be viewed as a single equation with discontinuous coefficients in the principal part. Exact controllability to the trajectories is proved when we consider distributed controls supported in the part of the domain where...
Mikhail Belishev, Aleksandr Glasman (2000)
ESAIM: Control, Optimisation and Calculus of Variations
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Axel Osses, Jean-Pierre Puel (1999)
ESAIM: Control, Optimisation and Calculus of Variations
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Jacques-Louis Lions, Enrique Zuazua (1996)
ESAIM: Control, Optimisation and Calculus of Variations
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