Jean-Michel Coron

Jean-Michel Coron of the Université Pierre et Marie Curie is the winner of the 2015 ICIAM Maxwell Prize for his fundamental and original contributions to the study of variational methods for partial differential equations and the control of nonlinear partial differential equations. Jean-Michel Coron is a Professor in the Laboratoire Jacques-Louis Lions at the Université Pierre et Marie Curie. Born in Paris in 1956, he received an undergraduate Engineering degree from the École Polytechnique in 1978, a graduate Engineer ing degree from the Corps des Mines in 1981, and a Doctor of Mathematical Sciences degree from the Université Pierre et Marie Curie in 1982.

Jean-Michel Coron has had a deep and profound impact in the study of variational methods for nonlinear partial differential equations. His original work on constant mean curvature surfaces, periodic solutions for nonlinear wave equations, nonlinear elliptic equations with critical Sobolev exponents and harmonic maps for nematic liquid crystals has had a major impact in these ﬁelds. This work was crucial to the understanding of the equilibrium behavior of liquid crystals, and to research on the dynamical behavior of harmonic mappings and liquid crystals.

Jean-Michel Coron is probably best known for his original work on the control of nonlinear partial differential equations. His work on the global controllability of the two-dimensional Euler equations of incompressible ﬂuids represents a brilliant interplay of techniques that he developed for control along nonsingular trajectories and the stabilization of ﬁnite dimensional control systems. One of the main underlying ideas is that although the linearization of the Euler equations around the trivial solution is not controllable, it is possible to construct a non-trivial trajectory such that the corresponding linearized system is controllable. He has also produced major results on the global controllability of Navier–Stokes equations for incompressible viscous ﬂuids, the Korteweg–de Vries equations, the Saint–Venant equations, and Schrödinger models in quantum control. His work on the controllability of the Euler and Navier–Stokes equations is widely hailed as one of the most original results on the controllability of nonlinear partial differential equations.