Prescribing the Motion of a Set of Particles in a Three-Dimensional Perfect Fluid
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
TypeArticle accepté pour publication ou publié
External document linkhttp://arxiv.org/abs/1108.5019v1
Journal nameSIAM Journal on Control and Optimization
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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 / Keywordsincompressible perfect fluids; Euler equation; 3D perfect fluid; Lagrangian controllability
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