She applied fundamental mathematical results to provide
a firm basis for the solutions of
the classical field equations of physics, most
importantly those of general relativity and other
theories of gravitation, supergravity, and the non-Abelian
gauge theories of the standard model.
Some Important Publications:
"Theoreme d'Existence pour Certains Systemes d'Equations
aux Derivees Partielles non Lineaires," Acta Mathematica,
88: 141 (1952)
- This is the author's (French) thesis, a magisterial work.
It exhaustively discusses the Cauchy problem for a system
of second order partial differential equations, linear in
second derivatives, having special relevance to the Einstein
equations in general relativity. The list of
results is lengthy and includes deep result
on exterior solutions and their uniqueness, on propagation
velocity of gravitational excitations, etc.
"Theoremes d'Existence en Mecanique des Fluides Relativistes,"
Bulletin de la Soc. Math. de France, 86: 155
The first careful study of existence
theorems for non-analytic solutions of the Einstein
equations with various types of matter including
Kaluza-Klein unified, 5-dimensional,
extensions. It established that these general cases
define hyperbolic systems with well-defined Cauchy
"Ondes Asymptotiques et Approchees pour des Systemes
d'Equations aux Derivees Partielles non Lineaires,"
J. Maths. Pures et App. 48: 117 (1969)
- A general method is presented that enable
one to construct asymptotic and approximate wave
solutions about a given solution for nonlinear system
of equations; this extends important earlier work, and
also shows when the Cauchy problem becomes ill-posed.
Applications are made to gravity.
"Global Solutions of the Problem of Constraints on a Closed
Manifold," Symposia Matematica, (in the series
Pubblicazione dell'Istituto Nazionale di Alta Matematica)
12: 317 (1973)
The problem of existence and uniqueness of
global solutions of the constraint equations of general
relativity is studied in the important case of a closed
manifold, using general elliptic equation methods. The
essential results are that existence depends on delicate
properties of the manifold and on the sources of the
metric; the various cases are carefully classified.
"Existence of Global Solutions of the Yang-Mills, Higgs,
and Spinor Field Equations in 3+1 Dimensions,"
(with D. Christodoulou) Ann. E.N.S. 4th Series
14: 481 (1981)
"Causalite des Theories de Supergravite," Societe Mathematique
de France, Asterisque 79-93 (1984)
This is perhaps the first study by a mathematician
of supergravity, the generalization of Einstein theory
unified, by a Grassmannian gauge invariance, with a massles
spin 3/2 fermionic field. In particular, the author extends
to supergravity the classic causality theorems that hold in
the purely geometric bosonic theory. The results are
extended both to N>1 supergravitie
and to higher dimensions, in particular to the currently
important maximal D=11 model.
An important text and reference book:
Analysis, Manifolds and
Physics (co-authored with C. DeWitt-Morette and M. Dillard-Bleick), North Holland Publishing Co., Amsterdam 1977
(revised edition 1982) ; 2 volumes.
Médaille d'Argent du Centre National de la Recherche Scientifique, 1958
Prix Henri de Parville of the Academie des Sciences, 1963
Member, Académie des Sciences, Paris (elected 1979)
Elected to the American Academy of Arts and Sciences 1985
Commandeur de la Légion d'honneur, 1997
1949-51 Research Assistant/Associate, Centre National de la Recherche Scientifique
1951-52 Member, Institute for Advance Study, Princeton
1953-58 Professor, Faculte des Sciences de Marseille
1958-59 Professor, Universite de Reims
1960- Professeur Titulaire, Faculte des Sciences de Paris and l'Universite Pierre et Marie Curie
Agrégée de mathématiques, Ecole normale supérieure de Sèvres 1946
Docteur ès sciences, Ecole normale supérieure de Sèvres 1951
Sources and References consulted:
Professor Yvonne Choquet-Bruhat, Professor Stanley Deser,
Association for Women in Mathematics Website
She has more than 190 published papers on mathematics and mathematical physics.
Her father, Georges Bruhat, was professor of physics at the Sorbonne.
Married to Gustave Choquet with whom she has two children, Geneviève and Daniel;
and a third from a previous marriage, Michelle Fourès.
Her recreations include walking and cycling.
Field Editor: Professor Stanley Deser