Geneviève Raugel Geneviève Raugel 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 . Raugel got a tenured position in the CNRS the same year, first as a researcher then as a research director . 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 , Caltech , the Fields Institute , University of Hamburg , and the University of Lausanne . 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.Selected publications with Christine Bernardi, Approximation numérique de certaines équations paraboliques non linéaires, RAIRO Anal. Numér. 18, 1984–3, 237–285. with Jack Hale: Reaction-diffusion equation on thin domains, Journal de mathématiques pures et appliquées 71, 1992, 33–95. with Jack Hale: Convergence in gradient-like systems with applications to PDE, Z. Angew. Math. Phys. 43, 1992, 63–124. Dynamics of Partial Differential Equations on Thin Domains, in: R. Johnson, Dynamical systems. Lectures given at the Second C.I.M.E. , Lecture Notes in Mathematics 1609, Springer 1995, S. 208–315 with Jerrold Marsden , Tudor Ratiu: The Euler equations on thin domains, International Conference on Differential Equations , World Scientific , 2000, 1198–1203 with Klaus Kirchgässner: Stability of Fronts for a KPP-system: The noncritical case, in: Gerhard Dangelmayr, Bernold Fiedler, Klaus Kirchgässner, Alexander Mielke, Dynamics of nonlinear waves in dissipative systems: reduction, bifurcation and stability , Longman, Harlow 1996, 147–209; part 2 : J. Differential Equations , 146, 1998, S. 399–456. Global Attractors in Partial Differential Equations, Handbook of Dynamical Systems , Elsevier, 2002, p. 885–982. with Jack Hale: Regularity, determining modes and Galerkin methods , J. Math. Pures Appl. , 82, 2003, 1075–1136. with Romain Joly: A striking correspondence between the dynamics generated by the vector fields and by the scalar parabolic equations, Confluentes Math. , 3, 2011, 471–493, with Marcus Paicu: Anisotropic Navier-Stokes equations in a bounded cylindrical domain, in: Partial differential equations and fluid mechanics , London Math. Soc. Lecture Note Ser., 364, Cambridge Univ. Press, 2009, 146–184, with Romain Joly: Generic Morse-Smale property for the parabolic equation on the circle, Transactions of the AMS , 362, 2010, 5189–5211, with Jack Hale: Persistence of periodic orbits for perturbed dissipative dynamical systems, in: Infinite dimensional dynamical systems , Fields Institute Commun., 64, Springer, New York , 2013, 1–55.
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