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

ESAIM: Control, Optimisation and Calculus of Variations (2002)

- 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 (2002): 513-554. <http://eudml.org/doc/244897>.

@article{Coron2002,

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},

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/244897},

volume = {8},

year = {2002},

}

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

PY - 2002

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/244897

ER -

## References

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## Citations in EuDML Documents

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- Lionel Rosier, Control of the surface of a fluid by a wavemaker
- Olivier Glass, A controllability result for the $1$-D isentropic Euler equation
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- Eduardo Cerpa, Emmanuelle Crépeau, Boundary controllability for the nonlinear Korteweg-de Vries equation on any critical domain
- Karine Beauchard, Controllability of a quantum particle in a 1D variable domain
- Thierry Horsin, Local exact lagrangian controllability of the Burgers viscous equation
- Karine Beauchard, Controllablity of a quantum particle in a 1D variable domain

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