Seminar Analysis: Stefano Spirito (University of L'Aquila)

Finite Energy Weak Solutions of the Quantum Navier-Stokes equations

In this talk I will present a result concerning the global existence of finite energy weak solutions of the quantum Navier-Stokes equations. The novelty of the result is that we are able to consider the vacuum in the definition of weak solutions. The main tools are a new formulation of the equations which allows us to get an additional a priori estimate to prove compactness and a non trivial choice of the approximation system consistent with the a priori estimates.

This is a joint work with Paolo Antonelli (GSSI)

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