Abstract
In this article, we study the regularity properties of the weak solutions to the steady-state Navier-Stokes equations in exterior domains of ℝ3. Our approach is based on a combination of the properties of Stokes problems in ℝ3 and in bounded domains. We obtain in particular a decomposition result for the pressure and some sufficient conditions for the velocity to vanish at infinity.
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Alliot, F., Amrouche, C. (2002). On the Regularity and Decay of the Weak Solutions to the Steady-State Navier-Stokes Equations in Exterior Domains. In: Sequeira, A., da Veiga, H.B., Videman, J.H. (eds) Applied Nonlinear Analysis. Springer, Boston, MA. https://doi.org/10.1007/0-306-47096-9_1
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DOI: https://doi.org/10.1007/0-306-47096-9_1
Publisher Name: Springer, Boston, MA
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