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 École or Ecole may refer to: * an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée) * École (river), a tributary of the Seine flowing in région Île-de-France * Éco ...

in 1972, obtaining the

agrégation In France, the () is the most competitive and prestigious examination for civil service in the French public education A state school, public school, or government school is a primary school, primary or secondary school that educates all stu ...

in mathematics in 1976. She earned her Ph.D degree from

University of Rennes 1 The University of Rennes 1 was a public university located in Rennes, France. It was founded in 1970, after splitting of the historic University of Rennes into two universities. On January 1, 2023, the University of Rennes 1 merged with five gra ...

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 Paris-Sud University (), also known as the University of Paris — XI (or as the Orsay Faculty of Sciences, University of Paris before 1971), was a French research university distributed among several campuses in the southern suburbs of Paris, ...

since 1989. Raugel also held visiting professor positions in several international institutions: the

University of California, Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California), is a Public university, public Land-grant university, land-grant research university in Berkeley, California, United States. Founded in 1868 and named after t ...

(1986–1987),

Caltech The California Institute of Technology (branded as Caltech) is a private university, private research university in Pasadena, California, United States. The university is responsible for many modern scientific advancements and is among a small g ...

(1991), the

Fields Institute The Fields Institute for Research in Mathematical Sciences, commonly known simply as the Fields Institute, is an international centre for scientific research in mathematical sciences. It is an independent non-profit with strong ties to 20 Ontar ...

(1993),

University of Hamburg The University of Hamburg (, also referred to as UHH) is a public university, public research university in Hamburg, Germany. It was founded on 28 March 1919 by combining the previous General Lecture System ('':de:Allgemeines Vorlesungswesen, ...

(1994–95), and the

University of Lausanne The University of Lausanne (UNIL; ) in Lausanne, Switzerland, was founded in 1537 as a school of Protestant theology, before being made a university in 1890. The university is the second-oldest in Switzerland, and one of the oldest universities ...

(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 Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic computation, symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of ...

, in particular finite element discretization of

partial differential equation In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives. The function is often thought of as an "unknown" that solves the equation, similar to ho ...

s. 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

attractor In the mathematical field of dynamical systems, an attractor is a set of states toward which a system tends to evolve, for a wide variety of starting conditions of the system. System values that get close enough to the attractor values remain c ...

perturbation theory In mathematics and applied mathematics, perturbation theory comprises methods for finding an approximate solution to a problem, by starting from the exact solution of a related, simpler problem. A critical feature of the technique is a middle ...

, and the Navier-Stokes equations in thin domains.G. Raugel et G. R. Sell, Navier-Stokes Equations on Thin 3D Domains. I: Global Attractors and Global Regularity of Solutions, ''Journal of the American Mathematical Society'' 6 (3), 503–568. 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 (ed.), ''Dynamical systems. Lectures given at the Second C.I.M.E.'' (Montecatini Terme, Juni 1994), 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'' (Berlin, 1999), 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 (eds.), ''Dynamics of nonlinear waves in dissipative systems: reduction, bifurcation and stability'', Longman, Harlow 1996, 147–209; part 2 (The critical case): ''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
Arxiv
*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
Arxiv
*with Romain Joly: Generic Morse-Smale property for the parabolic equation on the circle, ''Transactions of the AMS'', 362, 2010, 5189–5211
Arxiv
*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.

References

External links

* {{DEFAULTSORT:Raugel, Genevieve 1951 births 2019 deaths 20th-century French women mathematicians 20th-century French mathematicians 21st-century French women mathematicians 21st-century French mathematicians ENS Fontenay-Saint-Cloud-Lyon alumni University of Rennes alumni Academic staff of Paris-Sud University Dynamical systems theorists Partial differential equation theorists