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Alexandre Munnier



### Home I'm associate professor (maître de conférences) at the [Institut Élie Cartan of Lorraine]( I am a member of the partial differential equations research group and the [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\[at\] Research -------- 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.


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A reconstruction method for the inverse gravimetric problem

Anthony Gerber-Roth , Alexandre Munnier , Karim Ramdani
SMAI Journal of Computational Mathematics, 2023, 9, pp.197-225
Journal articles hal-04157036v2
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Vorticity and stream function formulations for the 2d Navier-Stokes equations in a bounded domain

Julien Lequeurre , Alexandre Munnier
Journal of Mathematical Fluid Mechanics, 2020, 22 (15), ⟨10.1007/s00021-019-0479-5⟩
Journal articles hal-01891763v4
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Dynamics of rigid bodies in a two dimensional incompressible perfect fluid

Olivier Glass , Christophe Lacave , Alexandre Munnier , Franck Sueur
Journal of Differential Equations, 2019, 267 (6), pp.3561-3577. ⟨10.1016/j.jde.2019.04.017⟩
Journal articles hal-02024104v2
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Calderón cavities inverse problem as a shape-from-moments problem

Alexandre Munnier , Karim Ramdani
Quarterly of Applied Mathematics, 2018, 76, pp.407-435. ⟨10.1090/qam/1505⟩
Journal articles hal-01503425v1
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Point vortex dynamics as zero-radius limit of the motion of a rigid body in an irrotational fluid

Olivier Glass , Alexandre Munnier , Franck Sueur
Inventiones Mathematicae, 2018, 214 (1), pp.171-287. ⟨10.1007/s00222-018-0802-4⟩
Journal articles hal-00950544v3
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Optimal strokes for driftless swimmers: A general geometric approach

Thomas Chambrion , Laetitia Giraldi , Alexandre Munnier
ESAIM: Control, Optimisation and Calculus of Variations, 2017, ⟨10.1051/cocv/2017012⟩
Journal articles hal-00969259v3
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Conformal mapping for cavity inverse problem: an explicit reconstruction formula

Alexandre Munnier , Karim Ramdani
Applicable Analysis, 2016, 96 (1), pp.108-129. ⟨10.1080/00036811.2016.1208816⟩
Journal articles hal-01196111v4
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On the detection of small moving disks in a fluid

Alexandre Munnier , Karim Ramdani
SIAM Journal on Applied Mathematics, 2016, 76 (1), pp.159-177. ⟨10.1137/141001226⟩
Journal articles hal-01098067v4
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Asymptotic analysis of a Neumann problem in a domain with cusp. Application to the collision problem of rigid bodies in a perfect fluid

Alexandre Munnier , Karim Ramdani
SIAM Journal on Mathematical Analysis, 2015, 47 (6), pp.4360-4403. ⟨10.1137/14099526X⟩
Journal articles hal-00994433v3
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Controllability of 3D low Reynolds swimmers

Jérôme Lohéac , Alexandre Munnier
ESAIM: Control, Optimisation and Calculus of Variations, 2014, 20 (1), pp.236--268. ⟨10.1051/cocv/2013063⟩
Journal articles hal-00674430v1
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Generic Controllability of 3D Swimmers in a Perfect Fluid

Thomas Chambrion , Alexandre Munnier
SIAM Journal on Control and Optimization, 2012, 50 (5), pp.2814--2835. ⟨10.1137/110828654⟩
Journal articles hal-00579986v1
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Passive and Self-propelled Locomotion of an Elastic Swimmer in a Perfect Fluid

Alexandre Munnier
SIAM Journal on Applied Dynamical Systems, 2011, 10 (4), pp.1363--1403. ⟨10.1137/100805455⟩
Journal articles hal-00509657v2
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Locomotion and control of a self-propelled shape-changing body in a fluid

Thomas Chambrion , Alexandre Munnier
Journal of Nonlinear Science, 2011, 21 (3), pp.325-385. ⟨10.1007/s00332-010-9084-8⟩
Journal articles hal-00422429v2
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On the detection of a moving rigid solid in a perfect fluid

Carlos Conca , Muslim Malik , Alexandre Munnier
Inverse Problems, 2010, 26 (9), ⟨10.1088/0266-5611/26/9/095010⟩
Journal articles inria-00468480v2
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Locomotion of articulated bodies in an ideal fluid: 2d model with buoyancy, circulation and collisions

Alexandre Munnier , Bruno Pinçon
Mathematical Models and Methods in Applied Sciences, 2010, 20 (10), pp.1899-1940. ⟨10.1142/S0218202510004829⟩
Journal articles hal-00394744v2
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Locomotion of deformable bodies in an ideal fluid: Newtonian versus Lagrangian formalisms

Alexandre Munnier
Journal of Nonlinear Science, 2009, 19 (6), pp.665-715. ⟨10.1007/s00332-009-9047-0⟩
Journal articles hal-00276252v2
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Alexandre Munnier
Mathematical Models and Methods in Applied Sciences, 2008, 18 (11), pp.1945-1981. ⟨10.1142/S021820250800325X⟩
Journal articles inria-00589796v1
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On the motion and collisions of rigid bodies in an ideal fluid

Jean-Gabriel Houot , Alexandre Munnier
Asymptotic Analysis, 2008, 56 (3-4), pp.125-158
Journal articles hal-00095617v1
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Large time behavior for a simplified N-dimensional model of fluid-solid interaction

Alexandre Munnier , Enrique Zuazua
Communications in Partial Differential Equations, 2005, 30, 1-3, 377--417
Journal articles hal-00097065v1
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When Fish Moonwalk

Alexandre Munnier , Thomas Chambrion
American Control Conference 2010, Jun 2010, Baltimore, United States
Conference papers inria-00589470v1
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Geometric Eddington factor for radiative transfer problems

Julien Cartier , Alexandre Munnier
2005, pp.271--293
Conference papers hal-00097329v1