On the compactness of finite energy weak solutions to the quantum Navier–Stokes equations
On the compactness of finite energy weak solutions to the quantum Navier–Stokes equations
We consider the quantum Navier–Stokes (QNS) system in three space dimensions. We prove compactness of finite energy weak solutions for large initial data. The main novelties are that vacuum regions are included in the weak formulation and no extra terms, like damping or cold pressure, are considered in the equations …