Stability of a stationary solution for evolving boundaries of symmetric three-phases driven by surface diffusion
K. Ito, Yoshihito Kohsaka · EPrints - Department of Mathematics, Hokkaido University · 1999
We prove that the sharp interface model for a three-phase boundary motion by surface diffusion proposed by H. Garcke and A. Novick-Cohen admits a unique global solution provided the initial data fulfills a certain symmetric criterion and is also close to a minimizer of the energy under an area-constraint. This minimizer is also a stationary solution of the present model. Moreover we prove that the global solution converges to the minimizer of the energy as time goes to infinity.