The Navier-Stokes equations lack a general closed-form solution for all initial conditions, particularly in turbulent flows, which complicates their analysis. While specific solutions exist for certain flow scenarios, the complexity of turbulence and sensitivity to initial conditions mean that numerical solutions are often approximations. The discussion highlights that the absence of an analytical solution does not imply that solutions do not exist; rather, they may only be achievable through numerical methods. The challenges of finding solutions are compounded by the chaotic nature of turbulent flows. Overall, the quest for a comprehensive understanding of the Navier-Stokes equations remains a significant mathematical and scientific challenge.