Control of the surface of a fluid by a wavemaker

Lionel Rosier

Displaying similar documents to “Control of the surface of a fluid by a wavemaker”

On the controllability and stabilization of the linearized Benjamin-Ono equation

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...

Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations

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.

Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain

Lionel Rosier (1997)

ESAIM: Control, Optimisation and Calculus of Variations

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