Prescribing the Motion of a Set of Particles in a Three-Dimensional Perfect Fluid

Horsin, Thierry; Glass, Olivier

Horsin, Thierry; Glass, Olivier (2012), Prescribing the Motion of a Set of Particles in a Three-Dimensional Perfect Fluid, SIAM Journal on Control and Optimization, 50, 5, p. 2726-2742. http://dx.doi.org/10.1137/110845744

Type

Article accepté pour publication ou publié

External document link

http://arxiv.org/abs/1108.5019v1

Date

2012

Journal name

SIAM Journal on Control and Optimization

Volume

Number

Publisher

SIAM

Pages

2726-2742

Abstract (EN)

We establish a result concerning the so-called Lagrangian controllability of the Euler equation for incompressible perfect fluids in dimension 3. More precisely we consider a connected bounded domain of R^3 and two smooth contractible sets of fluid particles, surrounding the same volume. We prove that given any initial velocity field, one can find a boundary control and a time interval such that the corresponding solution of the Euler equation makes the first of the two sets approximately reach the second one.

Subjects / Keywords

incompressible perfect fluids; Euler equation; 3D perfect fluid; Lagrangian controllability