Jean-Michel Coron

Jean-Michel Coron (born August 8, 1956) is a French mathematician. He first studied at École Polytechnique, where he worked on his PhD thesis advised by Haïm Brezis. Since 1992, he has studied the control theory of partial differential equations, and which includes both control and stabilization.^[1][2] His results concern partial differential equations related to fluid dynamics, with emphasis on nonlinear phenomena, and part of them found applications to control channels.

Jean-Michel Coron
Jean-Michel Coron in 2009
Born	(1956-08-08) August 8, 1956 (age 68) Paris
Nationality	French
Alma mater	Pierre and Marie Curie University
Awards	Fermat Prize (1993)
Scientific career
Fields	Mathematics
Institutions	Paris-Sud 11 University
Doctoral advisor	Haïm Brezis
Doctoral students	Fabrice Bethuel Frédéric Hélein

He had previously worked in the field of non-linear functional analysis, where he also obtained significant results. Jean-Michel Coron was awarded numerous prizes, like the Fermat prize in 1993, the Jaffé prize in 1995 by the Académie des Sciences, and the Dargelos prize in 2002.

He was invited at the 1990 International Congress of Mathematicians (Kyoto) in the section Partial Differential Equations, and he was also invited as a plenary speaker at the 2010 International Congress of Mathematicians, Hyderabad, India.^[3] He is now a Professor at the University Pierre et Marie Curie in Paris, and a Senior member of the Institut Universitaire de France.^[4]

Jean-Michel Coron is the husband of Claire Voisin who was also plenary speaker at the 2010 International Congress of Mathematicians and who is the 2016 recipient of the Gold medal of the French National Centre for Scientific Research, the highest scientific research award in France.^[5] They have five children.^[6]

Notable publications

• Haïm Brezis and Jean-Michel Coron. Multiple solutions of H-systems and Rellich's conjecture. Comm. Pure Appl. Math. 37 (1984), no. 2, 149–187.
• Jean-Michel Coron. Topologie et cas limite des injections de Sobolev. C. R. Acad. Sci. Paris Sér. I Math. 299 (1984), no. 7, 209–212.
• H. Brezis and J.-M. Coron. Convergence of solutions of H-systems or how to blow bubbles. Arch. Rational Mech. Anal. 89 (1985), no. 1, 21–56.
• Haïm Brezis, Jean-Michel Coron, and Elliott H. Lieb. Harmonic maps with defects. Comm. Math. Phys. 107 (1986), no. 4, 649–705. doi:10.1007/BF01205490
• A. Bahri and J.-M. Coron. On a nonlinear elliptic equation involving the critical Sobolev exponent: the effect of the topology of the domain. Comm. Pure Appl. Math. 41 (1988), no. 3, 253–294.
• A. Bahri and J.-M. Coron. The scalar-curvature problem on the standard three-dimensional sphere. J. Funct. Anal. 95 (1991), no. 1, 106–172.
• Jean-Michel Coron. Global asymptotic stabilization for controllable systems without drift. Math. Control Signals Systems 5 (1992), no. 3, 295–312. doi:10.1007/BF01211563
• Jean-Michel Coron, Brigitte d'Andréa-Novel, and Georges Bastin. A strict Lyapunov function for boundary control of hyperbolic systems of conservation laws. IEEE Trans. Autom. Control 52 (2007), no. 1, 2–11. doi:10.1109/TAC.2006.887903

References

1. Coron, Jean-Michel (2007). Control and Nonlinearity (Hardcover ed.). AMS. ISBN 978-0-8218-3668-2.
2. See also his Scholarpedia article: "Control of Partial Differential Equations". Scholarpedia. 2009.
3. International Congress of Mathematicians 2010 Archived 2010-02-08 at the Wayback Machine
4. Jean-Michel Coron at IUF Archived 2008-11-26 at the Wayback Machine
5. La médaille d'or 2016 du CNRS est attribuée à Claire Voisin, mathématicienne, French National Centre for Scientific Research (CNRS), September 21, 2016, retrieved 2016-10-03.
6. Curriculum Vitae

External links

• fr:Institut universitaire de France Institut Universitaire de France (IUF)
• "Personal page of Jean-Michel Coron at Laboratoire Jacques-Louis Lions". Archived from the original on September 9, 2009.
  • "Coron: List of publications (with links to several videos)". Université Pierre-et-Marie-Curie (UPMC).
• Jean-Michel Coron at the Mathematics Genealogy Project