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Global existence and uniqueness of Lions' weak solutions for the 2D inhomogeneous Navier-Stokes equations in bounded domains
The global well-posedness for Lions' weak solutions to the inhomogeneous incompressible Navier-Stokes equations in two-dimensional bounded domains is concerned. When the initial density $0\leq ρ_0\in L^\infty(\Om)$ (allowing for vacuum) and initial velocity $u_0\in L^2_σ(Ω)$, the global existence, r
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