Global Wellposedness of a Free Boundary Problem for the Navier-Stokes Equations in an Exterior Domain
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چکیده
This paper deals with global well-posedness of the following free boundary problem for the Navier-Stokes equations. Let Ω be an exterior domain in the N dimensional Eucledian space RN occupied by an incompressible viscous fluid. Let Γ be the boundary of Ω that is a C2 compact hyper surface with the unit outer normal n. Let t Ω be the evolution of Ω at time t. Let t Γ be the boundary of t Ω with the unit outer normal nt. Let ρ and μ be positive numbers denoting the mass density and the viscosity
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