Structure
The three research units participating to the project
are based at Politecnico di Bari (Dipartimento DICATECh and Dipartimento DMMM),
Università di Firenze (Dipartimento di Matematica e Informatica
"Ulisse Dini"),
and Sapienza Università di Roma (Dipartimento DISG and Dipartimento
SBAI at Sapienza and Dipartimento DISIM dell'Università
dell'Aquila).
Politecnico di Bari unit
Bari unit will take advantage of a long-standing expertise in the use
of Continuum and Statistical Thermodynamics methods applied to the
analysis of system with a large number of degrees of freedom and
continuous systems. The research activity in Bari will focus on
multi-scale analytical and numerical methods for the development
of models based on bottom-up approaches.
Research will be carried out in the frame of collaborations with
international teams (e.g, A. Goriely at Oxford and S. Giordano at Lille).
Università di Firenze unit
Firenze unit boasts a wide expertise in mathematical modelling in
biological applications, continuum mechanics, fluid mechanics, mixture
theory, porous media, stability analysis, and numerical methods.
The activity of the unit will be devoted to the mathematical study of
heterogeneous suspensions and granular materials.
The group will exploit its international collaborations: K.R. Rajagopal
(Texas A&M University) on mixture theory and implicit constitutive
equations and G. Georgiou (University of Cyprus) on numerical methods.
Sapienza Università di Roma unit
Roma unit has a wide expertise in Analysis, Statistical Physics,
Stochastic Processes, PDE, Soft Materials. The activity will be
devoted to the mathematical modelling of heterogeneous hybrid
materials and their finite element study and to the analysis of
lattice systems and their upscaled PDE models.
The unit will interact with several international groups: Bernheim
Lab (Ben Gurion University of the Negev) on minimal model systems
through in-vitro
reconstitution, Stretch Lab (Virginia Tech) for mechanical experiments
on biological samples, A. Muntean's analysis group in Karlstad on
stochastic dynamics and homogenization methods, Mathematics Department
of Utrecht University for nucleation in lattice systems.
