CONTROL OF UNDERWATER VEHICLES IN INVISCID FLUIDS–II. FLOWS WITH VORTICITY

Rodrigo Lecaros (1, 2) , Lionel Rosier (3)

1 CMM - Center for Mathematical Modeling
2 DIM - Departamento de Ingeniería Matemática [Santiago]
3 CAS - Centre Automatique et Systèmes

In a recent paper, the authors investigated the controllability of an underwater vehicle immersed in an infinite volume of an inviscid fluid, assuming that the flow was irrotational. The aim of the present paper is to pursue this study by considering the more general case of a flow with vorticity. It is shown here that the local controllability of the position and the velocity of the underwater vehicle (a vector in R 12) holds in a flow with vorticity whenever it holds in a flow without vorticity.

Mots clés: exterior domain; Euler equations; fluid-structure interaction; exact controllability; return method

Domaines: Equations aux dérivées partielles [math.AP]

Rodrigo Lecaros, Lionel Rosier. CONTROL OF UNDERWATER VEHICLES IN INVISCID FLUIDS–II. FLOWS WITH VORTICITY. 2016. ⟨hal-01323698⟩