Roger Temam

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 (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;[3]
• Korteweg–de Vries equation;[4]
• Kuramoto–Sivashinsky equation;[5]
• Euler equations in a bounded domain;[6]
• 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.[7][8] He was also the co-founder of the notion of inertial manifolds[9] together with Ciprian Foias and George R. Sell and of exponential attractors[10] 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;[11]
• boundary layer phenomena for incompressible flows.[12]

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.[13][14][15][16]

According to the Mathematical Genealogy Project database,[17][18] 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.[19]

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.[20]

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.[21] 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.[22] He was the Editor-in-Chief of the mathematical journal M2AN[23] from 1986 to 1997.

Temam has been the Director of the Institute for Scientific Computing & Applied Mathematics (ISCAM)[24] 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.[25]

• 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.″

• Fellow of the American Academy of Arts and Sciences (2015),[26] of the American Mathematical Society (2013),[27] of the American Association for the Advancement of Science (2011),[28] of the Society for Industrial and Applied Mathematics (2009).[29]
• Knight of the Legion of Honor, France, 2012.[30]
• Member of the French Academy of Sciences since 2007.[31]

• Roger Temam's publications at Google Scholar