Frank Merle (mathematician)


Frank Merle is a French mathematician, specializing in partial differential equations and mathematical physics.

Education and career

After graduation from the École normale supérieure, Merle received in 1987 his Ph.D. from the University of Paris VI under Henri Berestycki with thesis Contributions a l'etude de certaines equations aux derivees partielles non lineaires de la physique mathematique. He became a researcher for CNRS at ENS. In 1989/90 he was an assistant professor at the Courant Institute of Mathematical Sciences of the University of New York. Since 1991 Merle has been a professor at the University of Cergy-Pontoise. From 1998 to 2003 he was a member of the Institut Universitaire de France.
In the fall of 1996, the fall of 2001, and the academic year 2003–2004 he was a visiting scholar at the Institute for Advanced Study. He was a visiting professor at Stanford University, Rutgers University, the University of Chicago, the Mathematical Sciences Research Institute at Berkeley, Leiden University, and the University of Tokyo.

Mathematical research

Merle does research on partial differential equations and mathematical physics, notably dispersive nonlinear PDEs such as the nonlinear Schrödinger equation and the Korteweg-de Vries equation, and the study of such PDE solutions which over time break down or diverge. Such research earned him in 2005 the Bôcher Prize.

Selected publications