Large data global strong solutions to the quantum Navier-Stokes equations with degenerate viscosity

This work is devoted to study the Cauchy problem for the quantum Navier-Stokes equations in $\mathbb R^N$, $N=2,3$, with density dependent viscosities $μ(ρ)=ρ,λ(ρ)=0$, quantum capillarity $κ(ρ)=1/ρ$, which was derived by Dunn and Serrin (see Arch. Ration. Mech. Anal. 88(2):95-133, 1985) as a phase t