RESEARCH INTERESTS
1) Basic mathematical analysis:
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Convex analysis, optimization of non linear problems
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Relaxation and convergence of integrals in Calculus of Variations
on Sobolev spaces.
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Spaces of bounded variations fonctions.
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Non local effects in homogenization, Dirichlet forms.
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Geometrical measure theory (varifolds, courants).
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Navier-Stokes equations.
2) Applied mathematical analysis
and mechanics:
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Modelisation of discontinus media (fractures, open boundaries, phase transitions).
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Homogenization, composites, modelisation of rough surfaces.
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Second gradient models in capillarity theory.
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Study of thin structures in Mechanics.
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Non linear elesticity in big deformation.
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Problems in plasticity, existence, regularity and evolution.
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Hydrdynamic instabilities and wave propagation.