Gérard Iooss
Gérard Iooss (born June 14, 1944 in Charbonnier-les Mines, Département Puy de Dôme ) is a French mathematician who deals with dynamic systems and especially mathematical problems of hydrodynamics.
Iooss went to Clermont-Ferrand to school and studied from 1964 to 1966 at the elite university Ecole polytechnique . From 1967 to 1972 he was at the French aviation research center ONERA . In 1971 he received his doctorate from JP Guireaud at the University of Paris VI . From 1972 he was professor at the University of Paris-South in Orsay and from 1974 at the University of Nice , where he retired in 2007. From 1994 to 2004 he was at the Institut Universitaire de France. He is now at the Jean Dieudonné Laboratory at the University of Nice (a UMR - mixed research group - of the CNRS ).
He was also Maître de conférences at the École Polytechnique from 1970 to 1985 .
He was visiting professor at the University of Minnesota (1977/78), at the University of California, Berkeley (1978), at the University of Stuttgart (1990, 1995, 1997), where he worked with Klaus Kirchgässner on reversible dynamic systems.
He dealt with the functional analytical treatment of the Navier-Stokes equations , non-linear hydrodynamic stability theory and water waves of various types, general behavior of bifurcations (branching of the solutions) in dynamic systems (symmetry break, normal forms). In 1971, independently of David H. Sattinger, he treated the Hopf bifurcation in solutions to the Navier-Stokes equation as an infinitely dimensional dynamic system. In particular, he studied the Couette flow (Taylor-Couette) and theoretically discovered several waveforms there, which were later confirmed experimentally. He worked with Alain Chenciner (bifurcation invariant tori) and Pierre Coullet , among others . With Coullet, he classified the instabilities of spatially periodic patterns in translation-invariant and mirror-symmetric systems.
In 1993 he received the Max Planck Research Award and in 1990 he became a corresponding member of the Académie des Sciences . In 2008 he received the Prix Ampère and in 1978 the Prix Henri de Parville of the Academie des Sciences.
In 1998 he was invited speaker at the International Congress of Mathematicians in Berlin ("Traveling water waves as a paradigm for bifurcations in reversible infinite dimensional dynamical systems").
Fonts
- Bifurcation of Maps and Applications, North Holland Math Studies 36, 1979
- with D. Joseph: Elementary Stability and Bifurcation Theory, Springer Verlag, Undergraduate Texts in Mathematics, 1980, 2nd edition 1990
- with P. Chossat: The Couette-Taylor Problem, Applied Mathematics Series 102, Springer Verlag 1994.
- with M. Adelmeyer: Topics in Bifurcation Theory and Applications, Advanced Series in Nonlinear Dynamics, World Scientific 1992, 2nd edition 1999
- with M. Haragus: Local bifurcations, center manifolds, and normal forms in infinite dimensional dynamical systems, EDP Sciences / Springer Verlag 2011
- Editor with R. Helleman, Raymond Stora Chaotic Behavior of Deterministic Systems , North Holland 1983 (Les Houches Lectures 1981)
- Edited with GI Barenblatt, D. Joseph Nonlinear Dynamics and Turbulence , Pitman 1983
Web links
| personal data | |
|---|---|
| SURNAME | Iooss, Gérard |
| BRIEF DESCRIPTION | French mathematician |
| DATE OF BIRTH | June 14, 1944 |
| PLACE OF BIRTH | Charbonnier-les Mines |