Maria J. Esteban

Maria J. Esteban (born April 6, 1956 in Alonsotegi ) is a French-Basque mathematician.

Maria Esteban studied mathematics at the University of Bilbao with a licentiate in 1978 and at the University of Paris VI (Pierre et Marie Curie), where she received her DEA degree in numerical analysis in 1979 and her doctorate in 1981 under Haïm Brezis (Thèse de 3ème Cycle, Dissertation: Problèmes semilinéaires dans des ouverts non bornés ). In 1987 she completed her habilitation at the University of Paris VI with Pierre-Louis Lions (Doctorat d'Etat, habilitation thesis: Sur quelquesproblemèmes variationnels et équations aux derivées partielles non linéaires de la physique mathématique ). From 1981 she was Attachée de Recherche of the CNRS at the University of Paris VI (Laboratory for Numerical Analysis), in 1984 Chargé de Recherche and from 1991 Research Director. She is at the CEREMADE of the Paris-Dauphiné University.

Esteban deals with nonlinear partial differential equations and their numerics with applications in mathematical physics (relativistic quantum mechanics, quantum chemistry, interaction of structures and liquids, etc.) and especially nonlinear elliptical equations and methods of variation.

In 2013/14 and 2014/15 she was on the Abel Prize Committee. In 2016 she became a Fellow of SIAM . She is an honorary doctor in Valencia and at the University of the Basque Country. In 2015 she gave the Mary Cartwright Lecture at the London Mathematical Society. She gave a plenary lecture at the International Congress on Mathematical Physics 2003 in Lisbon and was invited speaker at the European Congress of Mathematics in Amsterdam in 2008. She is an honorary member of the Royal Spanish Mathematical Society and a member of the European Academy of Sciences. In 2012 she became a Knight of the Ordre national du mérite and she is a member of the Basque Academy of Sciences. In 2019 Esteban was elected to the Academia Europaea .

From 2009 to 2012 she was President of the Société de Mathématiques Appliquées et Industrielles (SMAI) and in 2012/13 she chaired the Committee for Applied Mathematics of the European Mathematical Society. From 2015 to 2019 she is President of the International Council for Industrial and Applied Mathematics (ICIAM). She is one of the initiators of the European Service Network of Mathematics for Industry and Innovation (EU-MATHS-IN).

Fonts (selection)

with P.-L. Lions: Existence and non-existence results for semilinear elliptic problems in unbounded domains, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Volume 93, 1982, pp. 1-14
A direct variational approach to Skyrme's model for meson fields, Communications in Mathematical Physics, Volume 105, 1986, pp. 571-591
with P.-L. Lions: Stationary solutions of nonlinear Schrödinger equations with an external magnetic field, in: Partial differential equations and the calculus of variations, Birkhäuser 1989, pp. 401-449
with É. Séré: Stationary states of the nonlinear Dirac equation: a variational approach, Communications in mathematical physics, Volume 171, 1995, pp. 323-350
with V. Georgiev, E. Séré: Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations, Calculus of Variations and Partial Differential Equations, Volume 4, 1996, pp. 265-281
with B. Desjardins: Existence of weak solutions for the motion of rigid bodies in a viscous fluid, Archive for Rational Mechanics and Analysis, Volume 146, 1999, pp. 59-71
with J. Dolbeault, E. Séré: On the eigenvalues of operators with gaps. Application to Dirac operators, Journal of Functional Analysis, Volume 174, 2000, pp. 208-226
with B. Desjardins: On Weak Solutions for Fluid-Rigid Structure Interaction: Compressible and Incompressible Models, Communications in Partial Differential Equations, Volume 25, 2000, pp. 263-285
with J. Dolbeault, E. Séré: Variational characterization of eigenvalues of Dirac operators, Calc. Var. Part. Diff. Eq., Vol. 10, 2000, pp. 321-347
with B. Desjardins, C. Gandmont, P. Le Tallec: Weak solutions for a fluid-elastic structure interaction model, Revista Matemática Complutense, Volume 14, 2001, pp. 523-538
with E. Séré: An overview on linear and nonlinear Dirac equations, Discrete and Continuous Dynamical Systems, Volume 8, 2002, pp. 381–398
with A. Chambolle, B. Desjardins, C. Grandmont: Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate, Journal of Mathematical Fluid Mechanics, Volume 7, 2005, pp. 368-404
with Michael Loss: Self-adjointness of Dirac operators via Hardy-Dirac inequalities, J. Math. Phys., Volume 48, 2007, p. 112107
with M. Lewin, E. Séré: Variational methods in relativistic quantum mechanics, Bulletin of the American Mathematical Society, Volume 45, 2008, pp. 535-593
with Jean Dolbeault, Michael Loss : Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces, Inventiones Mathematicae, Volume 206, 2016, pp. 397-440

Web links

personal data
SURNAME	Esteban, Maria J.
BRIEF DESCRIPTION	French-Basque mathematician
DATE OF BIRTH	April 6, 1956
PLACE OF BIRTH	Alonsotegi