The unit in Brescia has a widely recognized expertise in the mathematical theory of (free boundary problem for) inviscid compressible and incompressible fluids.
The unit at L’Aquila has a strong background on fluid dynamic modeling and related analysis, particle models and transport, conservation laws and hyperbolic systems.
The unit in Padova has different competences which include systems of conservation laws and balance laws, transport, control, networks, ODEs, dispersive and fluid dynamics equations.
The unit of Pisa is mainly focused on the mathematical theory of fluid dynamics and especially in the development of relatively new themes, as a natural consolidation of more classical approaches to the theory.
The members of the unit in SISSA have developed some of the theoretical results concerning conservation laws and transport equations, as well as Quantum Hydro-Dynamics, convex integration applied to fluid dynamics and optimal transport.