Research Interests: Applied Mathematics
Partial differential equations (PDE's) and related control theory
Nonlinear PDE's. Optimization theory. Calculus of Variations.
Mathematical Control Theory of PDE's. Includes boundary
stabilization, controllability, optimal control problems for linear
and nonlinear parabolic and hyperbolic PDE's.
Dynamical systems. Nonlinear dissipative PDE systems.
Long time behaviour: Attractors, Inertial manifolds for PDE's.
Mathematical control theory arising in coupled/hybrid PDE systems
with an interface: fluid structure interactions,
flow structure interactions, structural acoustic interactions.
Editor in Chief (with P. Dupuis and R. Temam) of
Applied Mathematics and Optimization. Springer Verlag.
Editor in Chief (with A. Haraux) of
Evolution Equations and Control Theory (EECT). AIMS.
Technical Committee 7 (TC7)
on System Modeling and Optimization,
International Federation for Information Processing (IFIP)