2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170316We study the global and local existence and uniqueness of solutions to the Navier-Stokes equations with anisotropic viscosity in a bounded cylindrical domain $Q=Ω\times (0,1)$, where $Ω$ is a star-shaped domain in $R^2$. In this paper, we consider the case of homogeneous Dirichlet boundary conditions on the lateral boundary and vanishing normal trace on the top and the bottom.Analysis of PDEstext