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

✍ Scribed by M. Gugat; G. Leugering


Book ID
104324222
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
235 KB
Volume
20
Category
Article
ISSN
0294-1449

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✦ Synopsis


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 C 1 -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.