  This paper examines the uniqueness/non-uniqueness of local-in-time strong
solutions for the incompressible 3D Navier-Stokes equations in bounded domains,
which are $\partial_t u=\nu \Delta u- u\cdot \nabla u-\nabla p+ f$ and
$div~u=0$.
  The focus of this study is on the case where the boundary condition is
defined as $u\cdot \vec{n}|_{\partial\Omega}=0$. This paper demonstrates the
existence of two distinct strong solutions to the Navier-Stokes equations under
this boundary condition.
