Speaker: Paolo Antonelli (GSSI L'Aquila)
Hydrodynamic model for quantum fluids
A quantum fluid is a system of interacting particles that exhibits the effects of quantum statistics also at a macroscopic scale. Such models describe various physical phenomena, including superfluidity, Bose-Einstein condensation, the interior of neutron stars (plasmas), or electron transport in semiconductors.
The prototypical example, as given by the so-called quantum hydrodynamics (QHD) system, is characterized by a compressible, inviscid, barotropic flow, subject to a stress tensor that depends on the particle density and its derivatives.
In this talk, I will first review some fundamental tools for analyzing solutions of QHD systems and provide some existence results for global-in-time weak solutions. I will also present some recent studies related to the stability properties and asymptotic behavior of such solutions.
Where: CNR IAC, Via dei Taurini, 19, Aula I Piano
