Research Interests: Applied Mathematics
Partial differential equations (PDE's) and related control theory
Partial differential equations (PDE's) and related control theory
- Nonlinear PDE's. Optimization theory. Calculus of Variations. Control Theory of PDE's.
- Boundary stabilization, controllability problems for (linear and nonlinear) parabolic and hyperbolic PDE's. Riccati and HJ equations.
- Mathematical control of systems arising in nonlinear PDE's. Wave propagations, nonlinear systems of dynamic elasticity, Navier Stokes equations. Noise control, structural acoustic problems, thermoelastic systems and more generally interactive structures.
- Dynamical systems. Nonlinear dissipative PDE systems. Long time behaviour: Attractors, Inertial manifolds for PDE's.
- Numerical analysis related to control problems governed by PDE's.