### Null controllability of nonlinear convective heat equations

Sebastian Anita, Viorel Barbu (2000)

ESAIM: Control, Optimisation and Calculus of Variations

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Sebastian Anita, Viorel Barbu (2000)

ESAIM: Control, Optimisation and Calculus of Variations

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Conca, Carlos, Osses, Axel, Saint Jean Paulin, Jeannine (2001)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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John E. Lagnese (1997)

ESAIM: Control, Optimisation and Calculus of Variations

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Lionel Rosier (1997)

ESAIM: Control, Optimisation and Calculus of Variations

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Ousseynou Nakoulima (2007)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider a distributed system in which the state is governed by a parabolic equation and a pair of controls where and play two different roles: the control is of type while expresses that the state does not move from a given state. Therefore, it is natural to introduce the control point of view. In fact, there are several ways to state and solve optimal control problems with a pair of controls and , in particular the method with only one criteria for the pair or...

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...

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.

Felipe Linares, Jaime H. Ortega (2005)

ESAIM: Control, Optimisation and Calculus of Variations

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In this work we are interested in the study of controllability and stabilization of the linearized Benjamin-Ono equation with periodic boundary conditions, which is a generic model for the study of weakly nonlinear waves with nonlocal dispersion. It is well known that the Benjamin-Ono equation has infinite number of conserved quantities, thus we consider only controls acting in the equation such that the volume of the solution is conserved. We study also the stabilization with a feedback...