Curriculum

Born 06/1944  Puy de Dôme, France

3 kids : Geneviève (1968), Armelle (1969), Bertrand (1973)

7 grand-kids : Pierre (may 1996), Loic (apr. 1998), Orlane (oct. 2000), Emeric (may 2002), Mae (feb. 2007), Marie (dec. 2007), Tom (march 2010)

-   Address: 

Laboratoire J.A.Dieudonné, UMR 7351 CNRS-UNSA

Parc Valrose, 06108 Nice Cedex 02, France

Home:  Vence, France

e-mail: gerard.iooss at unice.fr, iooss.gerard at orange.fr

-   Education:

Lycée Blaise Pascal, Clermont-Ferrand: 1954 -1964 (Bac 1961)

Ecole Polytechnique (Paris) : 1964-1966

National Service (EDF Research center, Chatou): 1966-1967

Office National d’Etudes et Recherches Aérospatiales (ONERA) 1967-1972

State Doctorate (Univ. Paris 6) March 1971 in Mathematics (adviser : J.P.Guiraud)

-   Careeer:

Professor (non permanent) Université Paris XI (Orsay) 1972-74

Professor Université de Nice 1974 - 2007

Visiting professor : University of Minnesota, Minneapolis 1977-1978 ; University of California, Berkeley, 1978 (2 months) ; University of Stuttgart 1990 (1 semester), 1995 (2 months), 1997 (2 months).

Also : Maître de Conférences (Mechanics) at Ecole Polytechnique 1970-1985

Scientific consultant at CEA - Limeil 1985-1989

Institut Universitaire de France  (IUF) 1994-2004

Professor IUF Emeritus,  Université de Nice since Oct 2007

-   Honors :

Prize Henri de Parville 1978 (Académie des Sciences de Paris)

Elected "Corresponding Member" of the Académie des Sciences de Paris, April 1990 (section Mécanique)

Max-Planck - A.Von Humbolt Award in Mathematics, with K.Kirchgässner (Nov. 1993)

Sectional Lecture at Int. Congr. Math. (ICM) Berlin 1998 

Workshop on "Dynamics and Patterns (June 2004) Birthday Party

Elected Member of AEIS (Académie Européenne Interdisciplinaire des Sciences, Nice-Côte d’Azur) Sept. 2004 - Oct 2014

and AMIC (Académie Méditerranéenne Interdisciplinaire des Connaissances) Nov. 2014

(Great) Prize "Ampère d'Electricité de France" 2008 (Académie des Sciences de Paris)


-  Researches - general theme : Nonlinear Dynamics

Navier-Stokes equations, Functional Analysis (1967-1972)

Nonlinear hydrodynamic stability (1967-1992)

Transition (bifurcations) towards complex regimes and Dynamical Systems (1967-1994)

Bifurcations, Symmetry breaking, Normal forms (1984-2010)

Extended Systems, Ginzburg-Landau equations, Defects (1987- 1992)

Water-waves and interfacial waves, Solitary waves (1990-2006), Standing waves (1997-2007), Tri-dimensional waves (2004-2011)

Reversible systems in infinite dimensions (1990-...)

Quasipatterns in fluid mechanics (2009-....)

-  Author or co-author of 5 books:

[M1] Bifurcation of Maps and Applications, North Holland Math Studies 36, 1979 (232p.).

[M2] Elementary Stability and Bifurcation Theory (with D.Joseph), U.T.M.Springer 1980. (2nd ed.1990, 324p.) (translated into russian and chinese).

[M3] The Couette-Taylor Problem. (with P.Chossat). Appl. Maths. series 102, Springer Verlag 1994.

[M4] Topics in Bifurcation Theory and Applications (with M. Adelmeyer), Adv. series in Nonlinear Dynamics, World Sci. Pub. 1992. (2nd ed. 1999).

[M5] Local bifurcations, center manifolds, and normal forms in infinite dimensional dynamical systems. (with M.Haragus) (329p).  EDP Sciences - Springer Verlag UTX series 2011.H-I10

-  Editor or co-editor of 8 collective works :

[EB1] Chaotic Behavior of Deterministic Systems, North Holland 1983, edited with R.Helleman et R.Stora (Les Houches 1981)

[EB2] Nonlinear Dynamics and Turbulence, Pitman 1983, edited with G.I.Barenblatt and D.Joseph.

[EB4] Chaotic Motion in Nonlinear Dynamical Systems (edited with W.Szemplinska-Stupnicka and F.Moon) CISM Lectures 298. Springer 1988.

[EB3] Bifurcations et Comportements Chaotiques (edited with R.Peyret). Suppl. J.Méca. Théo. Appli. 1984

[EB5] Nonlinear Hydrodynamic Stability and Transition. Europ. J. Mech. B/Fluids. 1991. (Suppl.10/2)

[EB6] Trends in Applications of Mathematics to Mechanics, ed. with O. Guès and A. Nouri, Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Maths, 1999 (Proc. STAMM 98)

[EB7-8] Two special issues of the Journal of Math. Fluid Mechanics, 7, Suppl, S1-S126, and 7, Suppl 3, S299-S412 (2005). In honor of V.Yudovich 70th birthday, ed. with V.Vladimirov

-  Main results (references to the list of publications)

Hopf bifurcation on Navier-Stokes equations considered as an infinite dimensional dynamical system (1971, indep. of D.Sattinger (Minnesota) and V.Yudovich (Rostov)) (see [6][11])

Bifurcations to high dimensional invariant tori (1979 with A.Chenciner and 1988 with J.Los) (see [20-21], [33])

Normal forms and symmetry breaking (1987 with P.Coullet and see the book with M.Adelmeyer 1992, reedited in 1999) (see [29], [31]). See [40] with P.Coullet for the complete classification of various types of moving patterns bifurcating from a spatially periodic stationary pattern of a translation invariant and reflection symmetric system) ; normal forms with exponentially small remainder with E.lombardi 2004 (see [69],[74]).

Couette-Taylor problem (1985-1994 see the book with P.Chossat) (see [27], [28], [38], [44])

Reversible bifurcations - Application to steady and time-periodic Navier-Stokes systems (1989-1991 "defect" solutions) (see [38], [42], [44]), Applications to water-waves (1990-....... new types of solitary waves (see [46], [49] and see the review paper [63] with F.Dias 2001), applications to lattices (see [61], [62], [73]).

Reversible bifurcations with an essential spectrum (1999......) - new types of solitary waves (2001 with E.Lombardi) (see [52], [59], [65-66], and the review paper [75]).

Existence of standing gravity waves (2003-2004) with J.Toland and P.Plotnikov (see [68], [71], [72]) and of short crested waves [79] and asymmetrical periodic gravity waves with P.Plotnikov (2005-2011) [85].