Roger Temam
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Roger Meyer Temam | |
|---|---|
| Born | 19 May 1940 |
| Nationality | French |
| Alma mater | University of Paris |
| Known for | Navier–Stokes equations |
| Scientific career | |
| Fields | Applied mathematics |
| Institutions | Paris-Sud University[1] (Orsay) Indiana University |
| Doctoral advisor | Jacques-Louis Lions |
| Doctoral students | Etienne Pardoux, Denis Serre |
Roger Meyer Temam (born 19 May 1940) is a French applied mathematician working in numerical analysis, nonlinear partial differential equations and fluid mechanics. He graduated from the University of Paris – the Sorbonne in 1967, completing a doctorate (thèse d'Etat) under the direction of Jacques-Louis Lions. He has published over 400 articles, as well as 12 (authored or co-authored) books.
Scientific work
[edit]The first work of Temam in his thesis dealt with the fractional steps method. Thereafter, "he has continually explored and developed new directions and techniques":[2]
- calculus of variations, and the notion of duality,[3] developing the mathematical framework for discontinuous (in displacement) solutions; a concept later used for his works on the mathematical theory of plasticity;[4]
- mathematical formulation of the equilibrium of a plasma in a cavity, expressed as a nonlinear free boundary problem;[5]
- Korteweg–de Vries equation;[6]
- Kuramoto–Sivashinsky equation;[7]
- Euler equations in a bounded domain;[8]
- 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.[9][10] He was also the co-founder of the notion of inertial manifolds[11] together with Ciprian Foias and George R. Sell and of exponential attractors[12] together with Alp Eden, Ciprian Foias and Basil Nicolaenko;[2]
- optimal control of the incompressible Navier–Stokes equations as a tool for the control of turbulence;[13]
- boundary layer phenomena for incompressible flows.[14]
Temam's main activities concern the study of geophysical flows, the atmosphere and oceans.[2] This started in the 1990s by collaboration with Jacques-Louis Lions and Shouhong Wang.[15][16][17][18]
Of all mathematics advisors recorded by the Mathematical Genealogy Project database, Temam has the second-largest number of doctoral students.[19][20] More than 30 of his students are now full professors all over the world, and have themselves many descendants.[21]
Administrative activities
[edit]Temam 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.[22]
In 1983, 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.[23] 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.[24] He was the Editor-in-Chief of the mathematical journal M2AN from 1986 to 1997.[25]
Temam has been the Director of the Institute for Scientific Computing & Applied Mathematics (ISCAM)[26] 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.[27]
Books
[edit]- Temam, Roger (1973). Numerical analysis. Translated by Nienhuys, J. W. Boston, MA: D. Reidel Publishing Company. doi:10.1007/978-94-010-2565-2. ISBN 978-90-277-0308-8. MR 0347099. Zbl 0261.65001.
- Temam, Roger (1984). Navier–Stokes equations. Theory and numerical analysis. Studies in Mathematics and its Applications. Vol. 2. With an appendix by F. Thomasset (Third edition of 1977 original ed.). Amsterdam: North-Holland Publishing Company. doi:10.1090/chel/343. ISBN 0-444-87558-1. MR 0769654. Zbl 0568.35002.
- Constantin, P.; Foias, C.; Nicolaenko, B.; Temam, R. (1989). Integral manifolds and inertial manifolds for dissipative partial differential equations. Applied Mathematical Sciences. Vol. 70. New York: Springer-Verlag. doi:10.1007/978-1-4612-3506-4. ISBN 0-387-96729-X. MR 0966192. Zbl 0683.58002.
- Eden, A.; Foias, C.; Nicolaenko, B.; Temam, R. (1994). Exponential attractors for dissipative evolution equations. Research in Applied Mathematics. Vol. 37. Chichester: John Wiley & Sons, Ltd. ISBN 0-471-95223-0. MR 1335230. Zbl 0842.58056.
- Temam, Roger (1995). Navier–Stokes equations and nonlinear functional analysis. CBMS–NSF Regional Conference Series in Applied Mathematics. Vol. 66 (Second edition of 1983 original ed.). Philadelphia, PA: Society for Industrial and Applied Mathematics. doi:10.1137/1.9781611970050. ISBN 0-89871-340-4. MR 1318914. Zbl 0833.35110.
- Temam, Roger (1997). Infinite-dimensional dynamical systems in mechanics and physics. Applied Mathematical Sciences. Vol. 68 (Second edition of 1988 original ed.). New York: Springer-Verlag. doi:10.1007/978-1-4612-0645-3. ISBN 0-387-94866-X. MR 1441312. Zbl 0871.35001.
- Dubois, Thierry; Jauberteau, François; Temam, Roger (1999). Dynamic multilevel methods and the numerical simulation of turbulence. Cambridge: Cambridge University Press. ISBN 0-521-62165-8. MR 1695881. Zbl 0958.76002.
- Ekeland, Ivar; Témam, Roger (1999). Convex analysis and variational problems. Classics in Applied Mathematics. Vol. 28 (Corrected reprint of the 1976 English edition of 1974 French original ed.). Philadelphia, PA: Society for Industrial and Applied Mathematics. doi:10.1137/1.9781611971088. ISBN 0-89871-450-8. MR 1727362. Zbl 0939.49002.
- Foias, C.; Manley, O.; Rosa, R.; Temam, R. (2001). Navier–Stokes equations and turbulence. Encyclopedia of Mathematics and its Applications. Vol. 83. Cambridge: Cambridge University Press. doi:10.1017/CBO9780511546754. ISBN 0-521-36032-3. MR 1855030. Zbl 0994.35002.
- Temam, Roger; Miranville, Alain (2005). Mathematical modeling in continuum mechanics (Second edition of 2001 original ed.). Cambridge: Cambridge University Press. doi:10.1017/CBO9780511755422. ISBN 978-0-521-61723-9. MR 2169020. Zbl 1077.76001.
- Gie, Gung-Min; Hamouda, Makram; Jung, Chang-Yeol; Temam, Roger M. (2018). Singular perturbations and boundary layers. Applied Mathematical Sciences. Vol. 200. Springer, Cham. doi:10.1007/978-3-030-00638-9. ISBN 978-3-030-00637-2. MR 3839343. Zbl 1411.35002.
- Temam, Roger (2018). Mathematical problems in plasticity. Translated by Orde, L. S. (Reprint of the 1985 English translation of 1983 French original ed.). Mineola, NY: Dover Publications. ISBN 978-0-486-82827-5. MR 0711964. Zbl 1406.74002.
Awards and honors
[edit]- Fellow of the American Academy of Arts and Sciences (2015),[28] of the American Mathematical Society (2013),[29] of the American Association for the Advancement of Science (2011),[30] of the Society for Industrial and Applied Mathematics (2009).[31]
- Knight of the Legion of Honor, France, 2012.[32]
- Member of the French Academy of Sciences since 2007.[33]
References
[edit]- ^ Starting from 2020, Paris-Sud University has been replaced by the Paris-Saclay University.
- ^ a b c Grasselli, Maurizio (June 2015). "Laudation for Roger Temam" (PDF). The International Society for the Interaction of Mechanics and Mathematics. Technische Universität Darmstadt. Retrieved 10 October 2022.
- ^ Ekeland & Témam 1999.
- ^ Temam 2018.
- ^ R. Temam, A nonlinear eigenvalue problem: the shape at equilibrium of a confined plasma, Arch. Rational Mech. Anal., 60, 1975, 51-73.
- ^ R. Temam, Sur un problème non linéaire, J. Math. Pures Appl., 48, 1969, 159-172.
- ^ 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.
- ^ R. Temam, On the Euler equations of incompressible perfect fluids, J. Funct. Anal., 20, 1975, 32-43.
- ^ P. Constantin, C. Foias, O. Manley and R. Temam, Determining modes and fractal dimension of turbulent flows, J. Fluid Mech., 150, 1985, 427-440.
- ^ 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.
- ^ C. Foias, G.R. Sell and R. Temam, Inertial manifolds for nonlinear evolutionary equations, J. Diff. Equ., 73, 1988, 309-353.
- ^ Eden et al. 1994.
- ^ F. Abergel and R. Temam, On some control problems in fluid mechanics, Theoret. Comput. Fluid Dynamics, 1, 1990, 303-325.
- ^ Gie et al. 2018.
- ^ J.L. Lions, R. Temam and S. Wang, New formulations of the primitive equations of the atmosphere and applications, Nonlinearity, 5, 1992, 237-288.
- ^ J.L. Lions, R. Temam and S. Wang, On the equations of the large-scale ocean, Nonlinearity, 5, 1992, 1007-1053.
- ^ 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
- ^ 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.
- ^ "Top 150 Advisors". Mathematics Genealogy Project. North Dakota State University. Retrieved 10 October 2022.
- ^ Mulcahy, Colm (May 2017). "The Mathematics Genealogy Project comes of age at twenty-one". Notices of the American Mathematical Society. 65 (5): 466–470. doi:10.1090/noti1512.
- ^ "Roger Meyer Temam". Mathematics Genealogy Project. North Dakota State University. Retrieved 10 October 2022.
- ^ "Conférences polytechniciennes. 36e série" (PDF). La Jaune et la Rouge. 254: 37. December 1970.
- ^ "Historiques du CA et du bureau de la SMAI". Société de Mathématiques Appliquées et Industrielles. Retrieved 10 October 2022.
- ^ "History of ICIAM". The International Council for Industrial and Applied Mathematics. Retrieved 10 October 2022.
- ^ "Editorial board". ESAIM: Mathematical Modelling and Numerical Analysis. European Series in Applied and Industrial Mathematics. EDP Sciences. Retrieved 10 October 2022.
- ^ "Institute for Scientific Computing and Applied Mathematics". Indiana University Bloomington. Retrieved 10 October 2022.
- ^ "Roger Temam". Department of Mathematics. Indiana University Bloomington. Retrieved 10 October 2022.
- ^ "2015 Fellows and their Affiliations at the Time of their Election" (PDF). American Academy of Arts and Sciences. Retrieved 10 October 2022.
- ^ "List of Fellows of the American Mathematical Society". American Mathematical Society. Retrieved 10 October 2022.
- ^ "Elected Fellows". American Association for the Advancement of Science. Retrieved 10 October 2022.
- ^ "SIAM Fellows". Society for Industrial and Applied Mathematics. Retrieved 10 October 2022.
- ^ "Décret du 6 avril 2012 portant promotion et nomination". Journal officiel de la République française. 85. 8 April 2012.
- ^ "Roger Temam". Académie des sciences. Institut de France. Retrieved 10 October 2022.
