Roger Temam

Roger Meyer Temam (Born 19 May 1940) is a French applied mathematician working in several areas of applied mathematics including numerical analysis, nonlinear partial differential equations and fluid mechanics. He graduated from the University of Paris – the Sorbonne in 1967, completing a higher doctorate (thèse d'Etat) prepared under the direction of Jacques-Louis Lions. He published over 400 articles which appeared in major scientific journals, as well as 12 (authored or co-authored) books some of which have been translated in different languages, including English (from French), Russian, and Chinese. Three of his books are now published in permanent series (books #5–7).

Roger Meyer Temam
Born (1940-05-19) 19 May 1940
NationalityFrench
Alma materUniversity of Paris
Known forNavier–Stokes equations
Scientific career
FieldsApplied mathematics
InstitutionsParis-Sud University (Orsay)
Indiana University
Doctoral advisorJacques-Louis Lions
Doctoral studentsEtienne Pardoux, Denis Serre

Scientific work

The scientific work of Roger Temam, which is at the interface between mathematical analysis, numerical analysis and scientific computing, includes mathematical modeling and analysis, as well as the development of novel numerical methods. The first work of Roger Temam in his thesis dealt with the fractional steps method. Thereafter, ″he has continually explored and developed new directions and techniques″:[1]

  • calculus of variations, and, more precisely, the notion of duality (book #7), developing the mathematical framework for discontinuous (in displacement) solutions; a concept later used for his works on the mathematical theory of plasticity (book #5);
  • mathematical formulation of the equilibrium of a plasma in a cavity, expressed as a nonlinear free boundary problem;[2]
  • Korteweg–de Vries equation; [3]
  • Kuramoto–Sivashinsky equation;[4]
  • Euler equations in a bounded domain;[5]
  • infinite-dimensional dynamical systems theory. In particular, he studied the existence of the finite-dimensional global attractor for many dissipative equations of mathematical physics, including the incompressible Navier–Stokes equations, for which he obtained, with Peter Constantin, Ciprian Foias and Oscar Manley, a physically relevant almost sharp upper bound on the dimension of the global attractor.[6][7] ″He was also the co-founder of the notion of inertial manifolds[8] together with Ciprian Foias and George R. Sell and of exponential attractors[9] together with Alp Eden, Ciprian Foias and Basil Nicolaenko;″[1]
  • optimal control of the incompressible Navier–Stokes equations as a tool for the control of turbulence;[10]
  • boundary layer phenomena for incompressible flows (most recently in book #1).

″The main activities of Roger Temam nowadays concern the study of geophysical flows, the atmosphere and oceans.″[1] This started in the 1990s by collaboration with Jacques-Louis Lions and Shouhong Wang.[11][12][13][14]

″The influence of Roger Temam in the development of applied mathematics in France, as well as all over the world, has been substantial.″[1] His scientific influence can also be measured in the number of doctoral theses that he has supervised, both in France and in the United States. According to the Mathematical Genealogy Project database, [15][16] he holds the first position in the top 50 advisors. More than 30 of his students are now full professors all over the world, and have themselves many descendants.[17]

Administrative activities

Besides his scientific work, Roger Temam has engaged in various administrative activities. He became a professor at the Paris-Sud University at Orsay in 1968. There, he co-founded the Laboratory of Numerical and Functional Analysis which he directed from 1972 to 1988. He was also a Maître de Conférences at the Ecole Polytechnique in Paris from 1968 to 1986.

In 1983, Roger Temam co-founded the French Société de Mathématiques Appliquées et Industrielles (SMAI), analogous to the Society for Industrial and Applied Mathematics (SIAM), and served as its first president. [18] He was also one of the founders of the International Congress on Industrial and Applied Mathematics (ICIAM) series and was the chair of the steering committee of the first ICIAM meeting held in Paris in 1987; and the chair of the standing committee of the second ICIAM meeting held in Washington, D.C., in 1991.[19] He was also the Editor-in-Chief of the mathematical journal M2AN [20] from 1986 to 1997, and has served or is serving on the editorial board of such journals as Asymptotic Analysis, Discrete and Continuous Dynamical Systems, Journal of Differential Equations, Physica D, Communications in Partial Differential Equations and SIAM Journal on Numerical Analysis.

″Roger Temam also has a very successful career in the United States.″[1] He has been the Director of the Institute for Scientific Computing & Applied Mathematics (ISCAM)[21] at Indiana University since 1986 (co-director with Ciprian Foias from 1986 to 1992). He is also a College Professor (part time till 2003) and he has been a Distinguished Professor since 2014.[22]

Books
  • 1. (with G.-M. Gie, M. Hamouda and C.-Y. Jung): Singular perturbations and boundary layers, Springer–Verlag, New-York, 2018.
  • 2. (with A. Miranville): Mathematical Modelling in Continuum Mechanics, Cambridge University Press, 2001. French Translation, Springer–Verlag France, 2002. Chinese Translation, Tsinghua University Press, 2004. 2nd English Edition 2005. Russian translation, Moskva Linom, 2013.
  • 3. (with T. Dubois and F. Jauberteau): Dynamic, multilevel methods and the numerical simulation of turbulence; Cambridge University Press, 1999.
  • 4. Infinite Dimensional Dynamical Systems in Mechanics and Physics, Springer–Verlag, New-York, Applied Mathematical Sciences Series, vol. 68, 1988. 2nd augmented edition, 1997. Reprinted in China by Beijing World Publishing Corp., 2000.
  • 5. Mathematical Problems in Plasticity, Gauthier–Villars, Paris, 1983 (in French). English Transl., Gauthier–Villars, New-York, 1985. Russian Transl., Nauk, Moscow, 1991. ″Republished by Dover books in Physics, 2018.″
  • 6. Navier-Stokes Equations, North–Holland Pub. Company, in English, 1977, 500 pages. Revised editions 1979, 1984 and 1985. Russian Translation, Mir, Moscow, 1981. ″Republished in the AMS–Chelsea Series, AMS, Providence, 2001.″
  • 7. (with I. Ekeland): Convex Analysis and Variational Problems. Dunod, Paris, 1974, 350 pages (in French). English Translation, North–Holland, Amsterdam, 1976. Russian Translation, Mir, Moscow, 1979. ″English version republished in the Series ′Classics in Applied Mathematics′, SIAM, Philadelphia, 1999.″

Awards and honors
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References
  1. https://www.mathematik.tu-darmstadt.de/media/isimm/Laudatio_Temam_ISIMM_prize_2016.pdf
  2. R. Temam, A nonlinear eigenvalue problem: the shape at equilibrium of a confined plasma, Arch. Rational Mech. Anal., 60, 1975, 51-73.
  3. R. Temam, Sur un problème non linéaire, J. Math. Pures Appl., 48, 1969, 159-172.
  4. B. Nicolaenko, B. Scheurer and R. Temam, Some global dynamical properties of the Kuramoto-Sivashinsky equations: Nonlinear stability and attractors, Physica D, 16, 1985, 155-183.
  5. R. Temam, On the Euler equations of incompressible perfect fluids, J. Funct. Anal., 20, 1975, 32-43.
  6. P. Constantin, C. Foias, O. Manley and R. Temam, Determining modes and fractal dimension of turbulent flows, J. Fluid Mech., 150, 1985, 427-440.
  7. C. Foias, O.P. Manley and R. Temam, Physical estimates of the number of degrees of freedom in free convection, Phys. Fluids, 29, 1986, 3101-3103.
  8. C. Foias, G.R. Sell and R. Temam, Inertial manifolds for nonlinear evolutionary equations, J. Diff. Equ., 73, 1988, 309-353.
  9. A. Eden, C. Foias, B. Nicolaenko and R. Temam, Exponential attractors for dissipative evolution equations, Collection Recherches en Mathématiques Appliquées, Masson, Paris, and John Wiley, England, 1994.
  10. F. Abergel and R. Temam, On some control problems in fluid mechanics, Theoret. Comput. Fluid Dynamics, 1, 1990, 303-325.
  11. J.L. Lions, R. Temam and S. Wang, New formulations of the primitive equations of the atmosphere and applications, Nonlinearity, 5, 1992, 237-288.
  12. J.L. Lions, R. Temam and S. Wang, On the equations of the large-scale ocean, Nonlinearity, 5, 1992, 1007-1053.
  13. M. Coti Zelati, M. Frémond, R. Temam and J. Tribbia, Uniqueness, regularity and maximum principles for the equations of the atmosphere with humidity and saturation, Physica D, 264, 2013, 49-65, https://doi.org/10.1016/j.physd.2013.08.007
  14. Y. Cao, M. Hamouda, R. Temam, J. Tribbia and X. Wang, The equations of the multi-phase humid atmosphere expressed as a quasi variational inequality, Nonlinearity, 31, 2018, 4692-4723, https://doi.org/10.1088/1361-6544/aad525.
  15. http://www.mathgenealogy.org/most-students.php?count=150
  16. http://www.ams.org/publications/journals/notices/201705/rnoti-p466.pdf
  17. Roger Temam
  18. http://smai.emath.fr/spip.php?breve79&lang=fr
  19. http://www.iciam.org/history-iciam
  20. https://www.esaim-m2an.org/
  21. http://www.indiana.edu/~iscam/
  22. https://math.indiana.edu/about/faculty/temam-roger.html
  23. https://www.amacad.org/sites/default/files/academy/multimedia/pdfs/alphalist2015.pdf
  24. < http://www.ams.org/profession/fellows-list#t
  25. https://www.aaas.org/fellows/listing
  26. https://www.siam.org/Prizes-Recognition/Fellows-Program/All-SIAM-Fellows/T
  27. https://www.legifrance.gouv.fr/affichTexte.do?cidTexte=JORFTEXT000025641749&categorieLien=id
  28. https://www.academie-sciences.fr/fr/Liste-des-membres-de-l-Academie-des-sciences-/-T/roger-temam.html
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