Abstract:
The stationary Navier-Stokes problem in a three-dimensional connected exterior domain is formulated in a new functional setting. For the case of a constant but nonzero velocity at infinity and of vanishing boundary fluxes, the problem involves a proper Fredholm operator of index 0. Topological degree arguments provide the existence of solutions and the Sard-Smale theorem yields their finiteness in number for generic external forces and boundary velocities.
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Accepted March 20, 2000¶Published online September 18, 2000
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Galdi, G., Rabier, P. Sharp Existence Results¶for the Stationary Navier-Stokes Problem¶in Three-Dimensional Exterior Domains. Arch. Rational Mech. Anal. 154, 343–368 (2000). https://doi.org/10.1007/s002050000104
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DOI: https://doi.org/10.1007/s002050000104