To see my vitae

Schools on non smooth dynamics

Siconos: an European project

Research interests:

• Linear and nonlinear partial differential equations,
  a strong preference for time dependent problems;
  if I need the stationary case to work on time asymptotics, I use it,
  the corresponding spectral theory.
• Ordinary differential equations with very irregular behavior;
  applications to the dynamics of impact and contact.
• Time integration methods: alternate directions and splitting;
  conception of high order methods; stability of these methods.
• Singular perturbations: reaction-diffusion and motion of
  singular layers; superconductivity in thin domains.
• Models of phase transitions.
• An in the past: variational inequalities; artificial boundary
  conditions; hyperbolic systems of conservation laws.
• I promise that I never touched homogenization or Navier-Stokes
  equations; but it could come, who knows...

Complete publication list: in pdf,updated on June 7th, 2004.

You may load the postscript versions of my last publications; if they are already in print,
copyright laws let you have only the abstract.

B.O. Dia, M. Schatzman, ``On the order of extrapolation of integration formula''

In print! S. Descombes, M. Schatzman, ``On Richarson Extrapolation of Strang's Formula
for Reaction-Diffusion Equations'', in ``Equations aux dérivées partielles et Applications,
articles dédiés à Jacques-Louis Lions,
429-452, Gauthier-Villars Elsevier, Paris, 1998.

In print! J. Rubinstein, M. Schatzman,`` Asymptotics for thin superconducting rings'',
J. Math. Pures Appl., 77(1998)801-820.

In print! M. Schatzman, ``Uniqueness and continuous dependence on data for one dimensional impact'',
Math. Comput. Modelling, 28(1998)1-18.

In print! L. Paoli, M. Schatzman, ``Resonance in impact problems'',
Math. Comput. Modelling, 28(1998)293-306.

In print! J. Rubinstein, M. Schatzman,``On multiply connected mesoscopic superconducting structures'',
(abstract) Séminaire de théorie spectrale et de géométrie, Grenoble (1996-1997)207-220.

In print! M. Schatzman, Réalité et fiction des mathématiques appliquées, Gazette des Mathématiciens, 76(1998):
Available on the web site of the European Press Agency for Mathematics.

In print! J. Rubinstein, M. Schatzman,``Spectral and variational problems on multiconnected strips'',
(abstract) C. R. Acad. Sci. Paris, Série I, 325(1997)377-382.

In print! M. Schatzman, ``Stability of the Peaceman-Rachford approximation'',
J. Functional Analysis, 162(1999)219-255.

In print! M. Schatzman, J. Bastien, C.-H. Lamarque, ``Study of some rheological models
with a finite number of degrees of freedom'', Eur. J. Mech. A Solids, 18(1999)415--420. Abstract.

J. Rubinstein, M. Schatzman, ``Variational problems on multiply connected thin strips I:
Basic estimates and convergence of the Laplacian'', Préublication 293, UMR5585, Avril 99.Abstract.

J. Rubinstein, M. Schatzman, ``Variational problems on multiply connected thin strips II:
convergence of the Ginzburg - Landau functional'', Préublication 294, UMR5585, Avril 99.Abstract.

M. Schatzman, L. Paoli, ``A numerical scheme for impact problems'', Prépublication 300, UMR 5585, Juin 99.Abstract.

M. Schatzman, ``Stability with respect to pseudodifferential perturbations
of some nonlinear diffusive equations'', Prépublication 301, UMR 5585, Juin 99. Abstract.

P. de Mottoni, M. Schatzman, ``The Thual-Fauve pulse: skew stabilization'', Prépublication 304, UMR 5585, Septembre 99, Abstract.

Jérôme Bastien and Schatzman Michelle.< Précision de schémas numériques en évolution multivoque.
Prépublication 307, UMR 5585, Dcember 1999. Abstract.

Michelle Schatzman et Laetitia Paoli. ``Penalty approximation for non smooth constraints in vibroimpact.'' ,
Prépublication 309, UMR 5585, Avril 2000, Abstract.

Jacob Rubinstein et Michelle Schatzman, ``Variational problems on multiply connected thin strips III:
Integration of the Ginzburg Landau equations over graphs.''
Prépublication 310, MAPLY, May 2000, Abstract.

M. Schatzman, ``Analyse Numérique des équations différentielles ordinaires'',
Graduate course 1999-2000 (in french). Trees, tensor products, Runge-Kutta schemes.
And if I am courageous, I will write down a course whose (provocative) title should be ``Algebra and Geometry for Dummies''.

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