Team presentation

Joint project-team with the Institut Élie Cartan (University Henri Poincaré-Nancy 1 and CNRS).

This project concerns the mathematical analysis and numerical simulation of non-linear partial differential equations, and their applications to industrial problems. The main applications concern electromagnetism, molecular chemistry, meteorology and the control and stabilization of flexible structures.

Research themes

• Nonlinear electromagnetism problems in two areas metal liquids and plasmas : the study of equilibrium configurations in conducting liquids under the effect of magnetic fields; applications to shaping, flow confinement ; semi-lagrangien method, application in thermal fusion ..
• Shape optimization : liquid bubble levitation, determining craks, ...
• Molecular chemistry: computation of potentials in molecular chemistry, Molecular dynamics and coupling algoritm, ... The applications concern the biologie
• Stabilization of flexible structures: the models derive from wave equations, beam and plate equations; they are usualy stabilized by non-linear boundary feedbacks. The applications concern flexible robots, overhead crane systems
• Models in oceanography and meteorology, predicibility.

International and industrial relations

• Contacts with CEA, Météo-France.
• Collaboration with École des mines at Nancy, Lemta, Lctn, and Lpmi at Nancy, the École des mines de Paris at Sophia Antipolis and Paris, the mathematics departments at Besançon, Bordeaux, Grenoble, Metz, Orsay, Paris 6, Paris-Dauphine, Strasbourg, ...
• Co-operation with the Polish Academy of Sciences at Varsovie, the mathematics departments at Essen, Sarrebruck, Kaiserlautern, the École polytechnique at Lausanne, and the Universities of Algiers and Marrakech.