Nombre de documents

22

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]univ-lorraine.fr

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.


Article dans une revue15 documents

  • Alexandre Munnier, Karim Ramdani. Calderón cavities inverse problem as a shape-from-moments problem. Quarterly of Applied Mathematics, American Mathematical Society, In press, 76, pp.407-435. 〈hal-01503425〉
  • Thomas Chambrion, Laetitia Giraldi, Alexandre Munnier. Optimal strokes for driftless swimmers: A general geometric approach. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2017, 〈10.1051/cocv/2017012〉. 〈hal-00969259v3〉
  • Alexandre Munnier, Karim Ramdani. On the detection of small moving disks in a fluid. SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2016, 76 (1), pp.159-177. 〈10.1137/141001226〉. 〈hal-01098067v4〉
  • Alexandre Munnier, Karim Ramdani. Conformal mapping for cavity inverse problem: an explicit reconstruction formula. Applicable Analysis, Taylor & Francis, 2016, 96 (1), pp.108-129. 〈10.1080/00036811.2016.1208816〉. 〈hal-01196111v4〉
  • Alexandre Munnier, Karim Ramdani. Asymptotic analysis of a Neumann problem in a domain with cusp. Application to the collision problem of rigid bodies in a perfect fluid. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2015, 47 (6), pp.4360-4403. 〈10.1137/14099526X〉. 〈hal-00994433v3〉
  • Jérôme Lohéac, Alexandre Munnier. Controllability of 3D low Reynolds swimmers. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2014, 20 (1), pp.236--268. 〈http://dx.doi.org/10.1051/cocv/2013063〉. 〈hal-00674430〉
  • Thomas Chambrion, Alexandre Munnier. Generic Controllability of 3D Swimmers in a Perfect Fluid. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2012, 50 (5), pp.2814--2835. 〈http://dx.doi.org/10.1137/110828654〉. 〈hal-00579986〉
  • Thomas Chambrion, Alexandre Munnier. Locomotion and control of a self-propelled shape-changing body in a fluid. Journal of Nonlinear Science, Springer Verlag, 2011, 21 (3), pp.325-385. 〈10.1007/s00332-010-9084-8〉. 〈hal-00422429v2〉
  • Alexandre Munnier. Passive and Self-propelled Locomotion of an Elastic Swimmer in a Perfect Fluid. SIAM Journal on Applied Dynamical Systems, Society for Industrial and Applied Mathematics, 2011, 10 (4), pp.1363--1403. 〈http://dx.doi.org/10.1137/100805455〉. 〈hal-00509657v2〉
  • Alexandre Munnier, Bruno Pinçon. Locomotion of articulated bodies in an ideal fluid: 2d model with buoyancy, circulation and collisions. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2010, 20 (10), pp.1899-1940. 〈10.1142/S0218202510004829〉. 〈hal-00394744v2〉
  • Carlos Conca, Muslim Malik, Alexandre Munnier. On the detection of a moving rigid solid in a perfect fluid. Inverse Problems, IOP Publishing, 2010, 26 (9), 〈10.1088/0266-5611/26/9/095010〉. 〈inria-00468480v2〉
  • Alexandre Munnier. Locomotion of deformable bodies in an ideal fluid: Newtonian versus Lagrangian formalisms. Journal of Nonlinear Science, Springer Verlag, 2009, 19 (6), pp.665-715. 〈10.1007/s00332-009-9047-0〉. 〈hal-00276252v2〉
  • Jean-Gabriel Houot, Alexandre Munnier. On the motion and collisions of rigid bodies in an ideal fluid. Asymptotic Analysis, IOS Press, 2008, 56 (3-4), pp.125-158. 〈hal-00095617〉
  • Alexandre Munnier. ON THE SELF-DISPLACEMENT OF DEFORMABLE BODIES IN A POTENTIAL FLUID FLOW. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2008, 18 (11), pp.1945-1981. 〈10.1142/S021820250800325X〉. 〈inria-00589796〉
  • Alexandre Munnier, Enrique Zuazua. Large time behavior for a simplified N-dimensional model of fluid-solid interaction. Communications in Partial Differential Equations, Taylor & Francis, 2005, 30, pp.no. 1-3, 377--417. 〈hal-00097065〉

Communication dans un congrès2 documents

  • Alexandre Munnier, Thomas Chambrion. When Fish Moonwalk. American Control Conference 2010, Jun 2010, Baltimore, United States. 2010. 〈inria-00589470〉
  • Julien Cartier, Alexandre Munnier. Geometric Eddington factor for radiative transfer problems. Eur. Math. Soc., Zürich. 2005, IRMA Lectures in Mathematics and Theoretical Physics., pp.271--293, 2005. 〈hal-00097329〉

Autre publication1 document

  • Jean-Gabriel Houot, Alexandre Munnier. On the motion and collisions of rigid bodies in an ideal fluid. 2006. 〈inria-00001149v3〉

Pré-publication, Document de travail4 documents

  • Julien Lequeurre, Alexandre Munnier. Vorticity and stream function formulations for the 2d Navier-Stokes equations in a bounded domain. 2018. 〈hal-01891763v3〉
  • Olivier Glass, Alexandre Munnier, Franck Sueur. Point vortex dynamics as zero-radius limit of the motion of a rigid body in an irrotational fluid. 2017. 〈hal-00950544v3〉
  • Thomas Chambrion, Alexandre Munnier. Generalized Scallop Theorem for Linear Swimmers. 2010. 〈inria-00508646〉
  • Alexandre Munnier. On the self-displacement of deformable bodies in an ideal fluid. Prépublication IECN 2006/46. 2006. 〈hal-00115929〉