Geneviève Raugel

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Geneviève Raugel, Oberwolfach 2004

Geneviève Raugel ( May 27, 1951 - May 10, 2019 ) was a French mathematician .

Life

Raugel studied from 1972 at the École normal supérieure de Fontenay-aux-Roses . In 1978 she received her doctorate from the University of Rennes 2 under Michel Crouzeix ( Thèse de troisième cycle ) with a thesis on elliptical problems with corners ( Résolution numérique deproblemèmes elliptiques dans des domaines avec coins ). Afterwards she was a researcher at the CNRS (initially Chargé de Recherche , from 1996 research director). In 1984 he completed the second part of his doctorate in the French system, also with Crouzeix (Thèse d'Etat, Approximation numérique de Genealogie de Genealogie non-linéaires (Numerical Approximation of Nonlinear Problems)). She first worked in Rennes, later at the École polytechnique and finally at the University of Paris-South .

Raugel mainly dealt with partial differential equations, especially Navier-Stokes equations and with global attractors . With Christine Bernardi , she developed the Bernardi-Raugel element (for the finite element method ).

In recognition of her fundamental work with Jack Hale, she gave the JK Hale lecture at the 1st International Conference on Dynamics of Differential Equations (GA Tech 2013) in his memory. She was the main organizer of the 2nd International Conference on Dynamics of Differential Equations in this series ( CIRM Luminy, 2016). For many years she shaped the Journal of Dynamics and Differential Equations as a tireless co-editor.

She has published with Jack Hale , Klaus Kirchgässner , Jerrold Marsden , Tudor Ratiu , among others .

Fonts (selection)

Except for the writings cited in the footnotes.

  • with Jack Hale: Reaction-diffusion equation on thin domains . In: J. Math. Pures Appl. , Vol. 71, 1992, pp. 33-95
  • with Jack Hale: Convergence in gradient-like systems with applications to PDE . In: Z. Angew. Math. Phys. , Vol. 43, 1992, pp. 63-124.
  • Dynamics of Partial Differential Equations on Thin Domains . In: R. Johnson (Ed.): Dynamical systems . Lectures given at the Second CIME (Montecatini Terme, June 1994). In: Lecture Notes in Mathematics , 1609. Springer 1995, pp. 208-315
  • with Jerrold Marsden, Tudor Ratiu: The Euler equations on thin domains . International Conference on Differential Equations (Berlin, 1999). World Scientific, 2000, pp. 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, pp. 147-209, part 2 (The critical case). In: J. Differential Equations , Volume 146, 1998, pp. 399-456.
  • with Jack Hale: Regularity, determining modes and Galerkin methods . In: J. Math. Pures Appl. , Vol. 82, 2003, pp. 1075-1136.
  • with Romain Joly: A striking correspondence between the dynamics generated by the vector fields and by the scalar parabolic equations . In: Confluentes Math. , Volume 3, 2011, pp. 471-493, arxiv : 1005.1727
  • with Romain Joly: Generic hyperbolicity of equilibria and periodic orbits of the parabolic equation on the circle . 2008, arxiv : 0806.2713
  • with Marcus Paicu: Anisotropic Navier-Stokes equations in a bounded cylindrical domain, in: Partial differential equations and fluid mechanics . In: London Math. Soc. Lecture Note Ser. , 364, Cambridge Univ. Press, 2009, pp. 146-184, arxiv : 0809.5190
  • with Romain Joly: Generic Morse-Smale property for the parabolic equation on the circle . In: Transactions of the AMS , Volume 362, 2010, pp. 5189-5211, arxiv : 1005.3186
  • with Jack Hale: Persistence of periodic orbits for perturbed dissipative dynamical systems . In: Infinite dimensional dynamical systems , Fields Institute Commun., Volume 64. Springer, New York 2013, pp. 1-55.
  • with Nicolas Burq, Wilhelm Schlag: Long time dynamics for damped Klein-Gordon equations . 2015, arxiv : 1505.05981

Web links

Individual evidence

  1. ^ Nicolas Burq : Décès de Geneviève Raugel . Société mathématique de France, smf.emath.fr .
  2. ↑ Geneviève Raugel in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. ↑ G. Raugel, George R. Sell: Navier-Stokes Equations on Thin 3D domains . I: Global Attractors and Global Regularity of Solutions . In: Journal of the American Mathematical Society , 6 (3), 1993, pp. 503-568. doi: 10.2307 / 2152776 .
  4. ↑ G. Raugel: Global Attractors in Partial Differential Equations . In: B. Fiedler (Ed.): Handbook of Dynamical Systems . Elsevier (North Holland), Volume 2, 2002, pp. 885-982, ISBN 978-0-444-50168-4 .
  5. ^ John Volker: Finite Element Methods for Incompressible Flow Problems . Springer, 2016, p. 114.
  6. ↑ Bernardi, Raugel: A conforming finite element method for the time-dependent Navier-Stokes equations . In: SIAM J. Numer. Anal. , Volume 22, 1985, pp. 455-473
personal data
SURNAME Raugel, Geneviève
BRIEF DESCRIPTION French mathematician
DATE OF BIRTH May 27, 1951
DATE OF DEATH May 10, 2019