Singular Solutions to Equations of Fluid Mechanics and Dynamics Near a Hurricane’s Eye
Singular Solutions to Equations of Fluid Mechanics and Dynamics Near a Hurricane’s Eye
In the first part of this paper, we prove a new theorem concerning non-smooth solutions of nonlinear Navier–Stokes type PDE as they arise in atmospheric and fluid dynamics, but here in arbitrary dimension. In its simplest form, the theorem states that the velocity field must be tangent to the hypersurface …