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

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 8, page 513-554
- ISSN: 1292-8119

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topCoron, Jean-Michel. "Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations." ESAIM: Control, Optimisation and Calculus of Variations 8 (2010): 513-554. <http://eudml.org/doc/90659>.

@article{Coron2010,

abstract = {
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.
},

author = {Coron, Jean-Michel},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Controllability; hyperbolic systems; shallow water.; Saint-Venant equations},

language = {eng},

month = {3},

pages = {513-554},

publisher = {EDP Sciences},

title = {Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations},

url = {http://eudml.org/doc/90659},

volume = {8},

year = {2010},

}

TY - JOUR

AU - Coron, Jean-Michel

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

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 8

SP - 513

EP - 554

AB -
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.

LA - eng

KW - Controllability; hyperbolic systems; shallow water.; Saint-Venant equations

UR - http://eudml.org/doc/90659

ER -

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