Alexandre Munnier
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Documents
Présentation
### Home
I'm associate professor (maître de conférences) at the [Institut Élie Cartan of Lorraine](http://www.iecl.univ-lorraine.fr/).
I am a member of the partial differential equations research group and the [SPHINX](https://www.inria.fr/equipes/sphinx) research team (INRIA Nancy).
### Contact
Postal address Bureau 211
Institut de Mathématiques Élie Cartan
Université de Lorraine
B.P. 239
F-54506 Vandoeuvre-lès-Nancy Cedex
France Phone (33) (0)3 83 68 45 41 Email alexandre.munnier\[at\]univ-lorraine.fr Research
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My research activities focus on the study of mathematical systems modeling the dynamical interaction of a fluid with 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.
Publications
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Vorticity and stream function formulations for the 2d Navier-Stokes equations in a bounded domainJournal of Mathematical Fluid Mechanics, 2020, 22 (15), ⟨10.1007/s00021-019-0479-5⟩
Article dans une revue
hal-01891763v4
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Dynamics of rigid bodies in a two dimensional incompressible perfect fluidJournal of Differential Equations, 2019, 267 (6), pp.3561-3577. ⟨10.1016/j.jde.2019.04.017⟩
Article dans une revue
hal-02024104v2
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Point vortex dynamics as zero-radius limit of the motion of a rigid body in an irrotational fluidInventiones Mathematicae, 2018, 214 (1), pp.171-287. ⟨10.1007/s00222-018-0802-4⟩
Article dans une revue
hal-00950544v3
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Calderón cavities inverse problem as a shape-from-moments problemQuarterly of Applied Mathematics, 2018, 76, pp.407-435. ⟨10.1090/qam/1505⟩
Article dans une revue
hal-01503425v1
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