>>11410684It's all about improving the understanding of nonlinear PDEs as a whole. The Navier-Stokes equation is a great nonlinear PDE model, since it's basically a simple sum of some of the most common vector derivatives, one of which is a nonlinear convective derivative. Any insights into existence and uniqueness of its solutions, given particular constants and boundary conditions, would be a great boon for the study of all nonlinear PDEs.