Geometrical aspects of exact boundary controllability for the wave equation - a numerical study
نویسندگان
چکیده
منابع مشابه
Geometrical Aspects of Exact Boundary Controllability for the Wave Equation a Numerical Study
This essentially numerical study sets out to investigate vari ous geometrical properties of exact boundary controllability of the wave equation when the control is applied on a part of the boundary Re lationships between the geometry of the domain the geometry of the controlled boundary the time needed to control and the energy of the control are dealt with A new norm of the control and an ener...
متن کاملExact Boundary Controllability for the Linear Korteweg-de Vries Equation - a Numerical Study
The exact boundary controllability of linear and nonlinear Korteweg-de Vries equation on bounded domains was established in [15] by means of Hilbert Uniqueness Method. The aim of these notes is to illustrate this approach by numerical simulations. 256 ESAIM: Proc., Vol. 4, 1998, 255-267
متن کاملBoundary controllability for the quasilinear wave equation
We study the boundary exact controllability for the quasilinear wave equation in the higher-dimensional case. Our main tool is the geometric analysis. We derive the existence of long time solutions near an equilibrium, prove the locally exact controllability around the equilibrium under some checkable geometrical conditions. We then establish the globally exact controllability in such a way tha...
متن کاملExact Neumann boundary controllability for problems of transmission of the wave equation
Using the Hilbert Uniqueness Method, we study the problem of exact controllability in Neumann boundary conditions for problems of transmission of the wave equation. We prove that this system is exactly controllable for all initial states in L( ) (H( ))0. 1. Introduction. Throughout this paper, let be a bounded domain (open, connected, and nonempty) in R(n 1) with a boundary ÿ=@ of class C, and ...
متن کاملExact Controllability for a Wave Equation with Mixed Boundary Conditions in a Non-cylindrical Domain
In this article we study the exact controllability of a one-dimensional wave equation with mixed boundary conditions in a non-cylindrical domain. The fixed endpoint has a Dirichlet-type boundary condition, while the moving end has a Neumann-type condition. When the speed of the moving endpoint is less than the characteristic speed, the exact controllability of this equation is established by Hi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ESAIM: Control, Optimisation and Calculus of Variations
سال: 1998
ISSN: 1292-8119,1262-3377
DOI: 10.1051/cocv:1998106