Alexandre Munnier
Generalized Scallop Theorem for Linear Swimmers.
Mon, 08/09/2010 - 15:01 — SomNambulAuthors: Thomas Chambrion, Alexandre Munnier
Subjects: Mathematical Physics
AbstractIn this article, we are interested in studying locomotion strategies for a
class of shape-changing bodies swimming in a fluid. This class consists of
swimmers subject to a particular linear dynamics, which includes the two most
investigated limit models in the literature: swimmers at low and high Reynolds
numbers. Our first contribution is to prove that although for these two models
the locomotion is based on very different physical principles, their dynamics
are similar under symmetry assumptions.Locomotion and control of a self-propelled shape-changing body in a perfect fluid.
Wed, 09/23/2009 - 13:19 — SomNambulAuthors: Thomas Chambrion, Alexandre Munnier
Subjects: Optimization and Control
AbstractIn this paper we are interested in studying some issues relating to the
general problem of locomotion by shape- changes in a two dimensional perfect
fluis. Our results are two folds: first we introduce a rigorous model for a
weighted self-propelled swimming body - one specificity of this model being
that the number of the body's deformations degrees of freedom is infinite. The
dynamic of the coupled system fluid-body is driven by the so-called
Euler-Lagrange equations: a system of ODEs allowing to compute the rigid motion
of the body with respect to its prescribed shape-changes.Locomotion and control of a self-propelled shape-changing body in a perfect fluid.
Wed, 09/23/2009 - 13:19 — SomNambulAuthors: Thomas Chambrion, Alexandre Munnier
Subjects: Optimization and Control
AbstractIn this paper we are interested in studying some issues relating to the
general problem of locomotion by shape- changes in a two dimensional perfect
fluis. Our results are two folds: first we introduce a rigorous model for a
weighted self-propelled swimming body - one specificity of this model being
that the number of the body's deformations degrees of freedom is infinite. The
dynamic of the coupled system fluid-body is driven by the so-called
Euler-Lagrange equations: a system of ODEs allowing to compute the rigid motion
of the body with respect to its prescribed shape-changes.
User login
