Evolution Equations
Research focus
The Peer review has evaluated this group as Good
The main research topics are: I) longtime behavior of dynamical systems arising from evolution equations, possibly of integropartial differential type, describing dissipative processes; II) well-posedness and inverse problems for integrodifferential evolution equations. The underlying mathematical models are connected, in particular, with phase change phenomena, viscoelastic behavior of solids or liquids, wave propagation, heat diffusion and population dynamics. The focus is on the following goals: (i) existence of global and exponential attractors; (ii) structure of attractors and their regularity; (iii) stability of attractors with respect to physical parameters; (iv) convergence to equilibrium of single trajectories; (vi) singular limits of systems with fading memory; (vii) asymptotic behavior of systems with hereditary memory and low dissipation; (viii) models for coupled fluid-structures; (ix) identification of memory kernels and/or sources via extra-measurements.
Dipartimento di afferenza
Docenti afferenti
Full Professors
Maurizio Grasselli
Vittorino Pata
Associate Professors
Fabrizio Colombo
Clelia Marchionna
Assistant Professors
Monica Conti
Tiziana Collini