$ L^p $-strong solution for the stationary exterior Stokes equations with Navier boundary condition

Abstract

<p style='text-indent:20px;'>This paper treats the stationary Stokes problem in exterior domain of <inline-formula><tex-math id="M2">\begin{document}$ {{\mathbb{R}}}^3 $\end{document}</tex-math></inline-formula> with Navier slip boundary condition. The behavior at infinity of the data and the solution are determined by setting the problem in <inline-formula><tex-math id="M3">\begin{document}$ L^p $\end{document}</tex-math></inline-formula>-spaces, for <inline-formula><tex-math id="M4">\begin{document}$ p> 2 $\end{document}</tex-math></inline-formula>, with weights. The main results are the existence and uniqueness of strong solutions of the corresponding system.</p>