Global boundary controllability of the de St. Venant equations between steady states

Leugering G, Gugat M (2003)

Publication Type: Journal article

Publication year: 2003

Journal

Annales de l'Institut Henri Poincaré - Analyse Non Linéaire Elsevier Masson / Institute Henri Poincaré

Publisher: Elsevier Masson / Institute Henri Poincaré

Book Volume: 20

Pages Range: 1-11

Journal Issue: 1

DOI: 10.1016/S0294-1449(02)00004-5

Abstract

We consider the problem of exactly controlling the states of the de St. Venant equations from a given constant state to another constant state by applying nonlinear boundary controls. During this transition the solution stays in the class of C¹-solutions. There are no restrictions on the distance between the initial state and the target state, so our result is a global controllability result for a nonlinear hyberbolic system. © 2003 Éditions scientifiques et médicales Elsevier SAS.

Authors with CRIS profile

Günter Leugering Lehrstuhl für Angewandte Mathematik Martin Gugat Lehrstuhl für Angewandte Mathematik

How to cite

APA:

Leugering, G., & Gugat, M. (2003). Global boundary controllability of the de St. Venant equations between steady states. Annales de l'Institut Henri Poincaré - Analyse Non Linéaire, 20(1), 1-11. https://doi.org/10.1016/S0294-1449(02)00004-5

MLA:

Leugering, Günter, and Martin Gugat. "Global boundary controllability of the de St. Venant equations between steady states." Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 20.1 (2003): 1-11.

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