Research
My research activities focus on the study of
mathematical systems modeling the dynamical interaction between a fluid
and a rigid or deformable structure. The motion of rigid solids
immersed in a fluid or swimming fish are two examples of such systems.
More precisely, I mainly address the following issues:
Modeling
About this process, which consists in deriving a
system of equations from physical principles, I've compared, for
fluid-structure interaction systems, the Newtonian approach (of
Classical Mechanics) to the Lagrangian formalism (of Analytic
Mechanics).
Biolocomotion
The biolocomotion is the study of fish and
aquatic mammals locomotion. I work on all of the features of this
problem: modeling, well posedness of the mathematical equations of
motion, control (with
T.Chambrion), numerical simulations (with
B. Pinçon).
Collisions
I'm interested in studying the asymptotic behavior
of immersed rigid solids when they get close and eventually collide
with a wall.
Detection
Fish are endowed with a
lateral line, a sense organ allowing them to detect immersed obstacles.
C. Conca and I work on inverse problems that consist in recovering the position and
the velocity of immersed rigid solids, from some data of the fluid.
Numerics
A
section of this site is dedicated to numerics.
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