Name Frank Merle | Role Mathematician | |

**Frank Merle** (born 22 November 1962 in Marseille) is a French mathematician, specializing in partial differential equations and mathematical physics.

## Contents

## Education and career

After graduation from the École normale supérieure (ENS), 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 (MSRI) at Berkeley, Leiden University, and the University of Tokyo.

## Mathematical research

Merle does research on partial differential equations (PDEs) 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 (blow up). Such research earned him in 2005 the Bôcher Prize.

## Selected publications

*Annals of Math*.

**155**: 235–280. 2002. doi:10.2307/3062156.

*L*-critical generalized KdV equation".

^{2}*Journal AMS*.

**15**: 617–664. 2002. MR 1896235.

*L*critical nonlinear Schroedinger equation".

^{2}*Inventiones Mathematicae*.

**156**: 565–672. 2004. doi:10.1007/s00222-003-0346-z.

## Awards and honors

*Blow-up phenomena for critical nonlinear Schrödinger and Zakharov equations*

*Asymptotics for critical nonlinear dispersive equations*