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• W2077990111 abstract "This paper is devoted to solving globally the boundary value problem for the incompressible inhomogeneous Navier–Stokes equations in the half-space in the case of small data with critical regularity. In dimension n⩾3, we state that if the initial density ρ0 is close to a positive constant in L∞∩W˙n1(R+n) and the initial velocity u0 is small with respect to the viscosity in the homogeneous Besov space B˙n,10(R+n) then the equations have a unique global solution. The proof strongly relies on new maximal regularity estimates for the Stokes system in the half-space in L1(0,T;B˙p,10(R+n)), interesting for their own sake." @default.
• W2077990111 created "2016-06-24" @default.
• W2077990111 creator A5026833031 @default.
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• W2077990111 date "2009-02-01" @default.
• W2077990111 modified "2023-09-24" @default.
• W2077990111 title "A critical functional framework for the inhomogeneous Navier–Stokes equations in the half-space" @default.
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• W2077990111 doi "https://doi.org/10.1016/j.jfa.2008.11.019" @default.
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