Charles-Michel Marle (born 26 November 1934 in Guelma, Algeria) is a French engineer and mathematician, currently a Professor Emeritus at Pierre and Marie Curie University.[1]

Charles-Michel Marle
Born26 November 1934
NationalityFrench
Alma materÉcole polytechnique
Scientific career
FieldsDifferential geometry
InstitutionsPierre and Marie Curie University
Thesis Sur l'établissement des équations de la dynamique des fluides relativistes dissipatifs  (1968)
Doctoral advisorAndré Lichnerowicz
Websitehttps://marle.perso.math.cnrs.fr/

Biography edit

Charles-Michel Marle completed in 1951 his primary and secondary education in Constantine, Algeria. He was a pupil of the preparatory classes for the grandes écoles at the Lycée Bugeaud [fr] in Algiers: higher mathematics [fr] in 1951-1952, then special mathematics [fr] in 1952-1953. He was admitted to the École Polytechnique in 1953. When he left this school in 1955, he opted for the Corps des mines.

He did his military service as a sub-lieutenant at the Engineering School in Angers from October 1955 to February 1956, then in Algeria during the war until 30 December 1956.

In 1957 he began attending the École Nationale Supérieure des Mines in Paris and from October 1957 to September 1958 he attended the École nationale supérieure du pétrole et des moteurs and completed various internships in the oil industry in France and Algeria. Returning to the École de mine in October 1958, his last year of study was interrupted in 1959 by the decision of the Minister of Industry, to send all junior civil servants of category A to Algeria to participate in the Constantine Plan. He was then attached to the short-lived Common organisation of the Saharan regions [fr] and worked in Algiers, the Sahara and Paris on various industrial projects.

Between 1959 and 1969 he was seconded by the Corps des Mines to the French Institute of Petroleum (IFP), where he was research engineer, head of department and director of division. While working at this Institute he obtained a degree in mathematics and in 1968 he defended a doctoral thesis under the supervision of André Lichnerowicz.[2]

In 1969 he changed his career and entered higher education, becoming a lecturer at the University of Besançon. In 1975 he moved to Pierre and Marie Curie University in Paris, and was appointed professor at this university in 1977. In 1983 he was elected corresponding member of the French Academy of sciences.[3] He retired in September 2000 and since then he is Professor Emeritus.

Charles-Michel Marle is the great-great-grandson of the grammarian L. C. Marle [fr] (1799-1860), author of an attempt at spelling reform around 1840.

Scientific work edit

While working at the French Institute of Petroleum, Marle's research focused on fluid flows in porous media, which are being investigated for applications in hydrocarbon field development.[4][5] He also published a book on the subject, developing a course that he taught at the École nationale du pétrole et des moteurs.[6]

Transitioning from applied to pure mathematics, in his PhD thesis he worked on fluid dynamics and the Boltzmann relativistic equation.[7][8]

Since the early 1970s he has worked mainly in the field of differential geometry, notably on Hamiltonian group actions[9][10] and Poisson geometry,[11][12] and its applications to mechanics.[13][14][15]

With his colleague Paulette Libermann (1919-2007) he published in 1987 a research-level book on symplectic geometry and geometric mechanics.[16] He has recently published another book, taking up part of the previous one, exposing recent results obtained in this field since 1987.[17]

Honours and awards edit

References edit

  1. ^ "Site personnel".
  2. ^ "Charles-Michel Marle - The Mathematics Genealogy Project". www.mathgenealogy.org. Retrieved 2022-02-10.
  3. ^ "Académie des sciences".
  4. ^ Marle, Charles (1967). "Écoulements monophasiques en milieu poreux" [Monophasic flows in porous media] (PDF). Revue de l'Institut français du pétrole (in French). 22 (10): 1471–1509.
  5. ^ Marle, Charles (1982). "On macroscopic equations governing multiphase flow with diffusion and chemical reactions in porous media". International Journal of Engineering Science. 20 (5): 643–662. doi:10.1016/0020-7225(82)90118-5.
  6. ^ Marle, Charles (1965). Les écoulements polyphasiques en milieu poreux [Multiphase flows in porous media] (in French) (1st ed.). Paris: Éditions technip.
    Marle, Charles (1972). Les écoulements polyphasiques en milieu poreux [Multiphase flows in porous media] (in French) (2nd revised ed.). Paris: Éditions technip.
    English translation of the second edition: Marle, Charles (1981). Multiphase flow in porous media. Paris: Éditions technip. ISBN 0-87201-569-6. OCLC 7761249.
  7. ^ Marle, Charles (1969). "Sur l'établissement des équations de l'hydrodynamique des fluides relativistes dissipatifs. I. — L'équation de Boltzmann relativiste" [On the establishment of the equations of hydrodynamics of relativistic dissipative fluids. I. - The relativistic Boltzmann equation]. Annales de l'Institut Henri Poincaré A (in French). 10 (1): 67–126. ISSN 0246-0211.
  8. ^ Marle, Charles (1969). "Sur l'établissement des équations de l'hydrodynamique des fluides relativistes dissipatifs. II. — Méthodes de résolution approchée de l'équation de Boltzmann relativiste" [On the establishment of equations of hydronynamics of relativistic dissipative fluids. II - Methods of approximated resolution of the relativistic Boltzmann equation]. Annales de l'Institut Henri Poincaré A (in French). 10 (2): 127–194. ISSN 0246-0211.
  9. ^ Marle, Charles-Michel (1985). "Modèle d'action hamiltonienne d'un groupe de Lie sur une variété symplectique" (PDF). Rend. Sem. Mat. Univ. Politecn (in French). 43 (2): 227–251.
  10. ^ Marle, Charles-Michel (2012). "A property of conformally Hamiltonian vector fields; Application to the Kepler problem". Journal of Geometric Mechanics. 4 (2): 181–206. arXiv:1011.5731. doi:10.3934/jgm.2012.4.181. S2CID 55931324.
  11. ^ Dazord, Pierre; Lichnerowicz, André; Marle, Charles-Michel (1991). "Structure locale des variétés de Jacobi" (PDF). J. Math. Pures Appl. (in French). 70: 101–152.
  12. ^ Marle, Charles-Michel (2008). "Calculus on Lie algebroids, Lie groupoids and Poisson manifolds". Dissertationes Mathematicae (in Polish). 457: 1–57. arXiv:0806.0919. doi:10.4064/dm457-0-1. ISSN 0012-3862. S2CID 14085924.
  13. ^ Marle, Charles-Michel (1990). "Géométrie des systèmes mécaniques à liaisons actives" (PDF). C. R. Acad. Sci. Paris (in French). 311 (I): 839–845.
  14. ^ Marle, Charles-Michel (1995-12-01). "Reduction of constrained mechanical systems and stability of relative equilibria" (PDF). Communications in Mathematical Physics. 174 (2): 295–318. Bibcode:1995CMaPh.174..295M. doi:10.1007/BF02099604. ISSN 1432-0916. S2CID 14858696.
  15. ^ Marle, Charles-Michel (2003). "On mechanical systems with a Lie group as configuration space" (PDF). Jean Leray '99 Conference Proceedings: The Karlskrona Conference in the Honor of Jean Leray: 183–203. doi:10.1007/978-94-017-2008-3_14. ISBN 978-90-481-6316-8.
  16. ^ Libermann, Paulette; Marle, Charles-Michel (1987). Symplectic Geometry and Analytical Mechanics. Dordrecht: D. Reidel Publishing Company. doi:10.1007/978-94-009-3807-6. ISBN 978-90-277-2439-7.
  17. ^ Marle, Charles-Michel (2018). Géométrie symplectique et géométrie de Poisson [Symplectic geometry and Poisson geometry] (in French). Paris: Calvage et Mounet. ISBN 978-2-916352-70-1. OCLC 1078689959.
  18. ^ "Société Mathématique de France".
  19. ^ "Société Française de Physique".
  20. ^ "American Mathematical Sociéty".