French mathematician (1951–2019)
Geneviève Raugel (27 May 1951 – 10 May 2019) was a French mathematician working in the field of numerical analysis and dynamical systems.
Biography.
Raugel entered the École normale supérieure de Fontenay-aux-Roses in 1972, obtaining the agrégation in mathematics in 1976. She earned her Ph.D degree from University of Rennes 1 in 1978 with a thesis entitled "Résolution numérique de problèmes elliptiques dans des domaines avec coins" (Numerical resolution of elliptic problems in domains with edges).
Raugel got a tenured position in the CNRS the same year, first as a researcher (1978–1994) then as a research director (exceptional class from 2014 on). Beginning in 1989, she worked at the Orsay Math Lab of CNRS affiliated to the University of Paris-Sud since 1989.
Raugel also held visiting professor positions in several international institutions: the University of California, Berkeley (1986–1987), Caltech (1991), the Fields Institute (1993), University of Hamburg (1994–95), and the University of Lausanne (2006). She delivered the Hale Memorial Lectures in 2013, at the first international conference on the dynamic of differential equations, Atlanta.
She co-directed the international "Journal of Dynamics and Differential Equations" from 2005 on.
Research.
Raugel's first research works were devoted to numerical analysis, in particular finite element discretization of partial differential equations. With Christine Bernardi, she studied a finite element for the Stokes problem, now known as the Bernardi-Fortin-Raugel element. She was also interested in problems of bifurcation, showing for instance how to use invariance properties of the dihedral group in these questions.
In the mid-1980s, she started working on the dynamics of evolution equations, in particular on global attractors, perturbation theory, and the Navier-Stokes equations in thin domains. In the last topic she was recognized as a world expert.