Nonlinear Evolution PDEs And Fluid-dynamics
The project targets fundamental theoretical aspects of evolution PDEs and their applications to challenging problems arising in other research fields: the core part is the analysis of fluid dynamics and conservation laws and their application to control problems, but several other models are considered. All these models share common mathematical techniques of evolutionary PDEs, so that a result obtained in one of the research directions has important consequences also in the others. The components of the project are among the world leading experts in these subjects, obtaining in many cases the best known results, and they have been collaborating and attracting/forming new promising researchers for several years.
Principal Investigator
Stefano Bianchini
Units
Brescia
The unit in Brescia has a widely recognized expertise in the mathematical theory of (free boundary problem for) inviscid compressible and incompressible fluids.
L'Aquila
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.
Padova
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.
Pisa
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.
Scuola Internazionale Superiore di Studi Avanzati
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.
