J\'er\^ome Lemoine
On non-homogeneous viscous incompressible fluids. Existence of regular solutions

Comment.Math.Univ.Carolinae 38,4 (1997) 697-715.

Abstract:We consider the flow of a non-homogeneous viscous incompressible fluid which is known at an initial time. Our purpose is to prove that, when $\Omega $ is smooth enough, there exists a local strong regular solution (which is global for small regular data).

Keywords: Navier-Stokes equations
AMS Subject Classification: 35Q30, 76D05

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