Exact controllability for a nonlinear stochastic wave equation.
Ton, Bui An (2006)
Abstract and Applied Analysis
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Ton, Bui An (2006)
Abstract and Applied Analysis
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Liu, Wei-Jiu (2000)
Portugaliae Mathematica
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Saint Jean Paulin, Jeannine, Vanninathan, M. (1994)
Portugaliae Mathematica
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Ton, Bui An (2006)
Abstract and Applied Analysis
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Lionel Rosier (1997)
ESAIM: Control, Optimisation and Calculus of Variations
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Jean-Pierre Raymond, Muthusamy Vanninathan (2005)
ESAIM: Control, Optimisation and Calculus of Variations
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A model representing the vibrations of a fluid-solid coupled structure is considered. Following Hilbert Uniqueness Method (HUM) introduced by Lions, we establish exact controllability results for this model with an internal control in the fluid part and there is no control in the solid part. Novel features which arise because of the coupling are pointed out. It is a source of difficulty in the proof of observability inequalities, definition of weak solutions and the proof of controllability...
Manuel Milla Miranda (1996)
Revista Matemática de la Universidad Complutense de Madrid
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Aniculăesei, G., Aniţa, S. (2002)
Abstract and Applied Analysis
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Enrique Fernández-Cara, Manuel González-Burgos, Sergio Guerrero, Jean-Pierre Puel (2006)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper is concerned with the global exact controllability of the semilinear heat equation (with nonlinear terms involving the state and the gradient) completed with boundary conditions of the form . We consider distributed controls, with support in a small set. The null controllability of similar linear systems has been analyzed in a previous first part of this work. In this second part we show that, when the nonlinear terms are locally Lipschitz-continuous and slightly superlinear,...