most citedGlobal unique solutions for the inhomogeneous Navier-Stokes equation with only bounded density, in critical regularity spaces

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math.AP2022★ 31 cited

Global unique solutions for the inhomogeneous Navier-Stokes equation with only bounded density, in critical regularity spaces

Raphaël Danchin, Shan Wang

We here aim at proving the global existence and uniqueness of solutions to the inhomogeneous incompressible Navier-Stokes system in the case where the initial density is discontinu…