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

Olivier Glass | Zendy; Thierry Horsin | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

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

Author(s) -

Olivier Glass,

Thierry Horsin

Publication year - 2012

Publication title -

siam journal on control and optimization

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.486

H-Index - 116

eISSN - 1095-7138

pISSN - 0363-0129

DOI - 10.1137/110845744

Subject(s) - contractible space , mathematics , controllability , bounded function , boundary (topology) , domain (mathematical analysis) , dimension (graph theory) , mathematical analysis , compressibility , vector field , motion (physics) , perfect fluid , interval (graph theory) , euler equations , euler's formula , lagrangian and eulerian specification of the flow field , open set , pure mathematics , lagrangian , classical mechanics , mathematical physics , combinatorics , geometry , physics , eulerian path , mechanics

International audienceWe 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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research