1) Asymptotic stability in continuum mechanics with boundary
control.
2) Thermomechanical and elettromagnetic models with memory:
thermodynamical potentials and evolutive problems.
3) Poro-elastic and diffusive models: costitutive equations and
stability results.
4) Constitutive models in superconductivity and Ginzburg-Landau
equations.
- Asymptotic stability in continuum mechanics with boundary
control
We consider dissipative materials (such as porous or
thermoelastic media) for which the internal dissipation is not
sufficient to determine an energy decay and we study boundary
control problems in order to obtain polynomial or exponential decay
results.
- Thermo-mechanical and electromagnetic models:
thermodynamical potentials and evolutive problems
Since there is not uniqueness in the identification of the
thermodynamical potentials for materials with memory, we study
thoroughly the free energy potentials and their influence on
the wellposedeness of the evolutive problem.
- Poro-elastic and diffusive models: constitutive equations
and stability results
We consider models of materials with internal structure and study
the stabilizing effects of the internal dissipation on the
solutions of the evolutive problems.
- Constitutive models in superconductivity and
Ginzburg-Landau equations
We consider some evolutive problems related to the
Gor'kov-Eliashbergh equations and study the relative
absorbing sets and attractors
