The Surface Diffusion Flow for Immersed Hypersurfaces
The Surface Diffusion Flow for Immersed Hypersurfaces
We show existence and uniqueness of classical solutions for the motion of immersed hypersurfaces driven by surface diffusion. If the initial surface is embedded and close to a sphere, we prove that the solution exists globally and converges exponentially fast to a sphere. Furthermore, we provide numerical simulations showing the …