Orthogonality Conditions and Asymptotic Stability in the Stefan Problem with Surface Tension

We prove nonlinear asymptotic stability of steady spheres in the two-phase Stefan problem with surface tension. Our method relies on the introduction of appropriate orthogonality conditions in conjunction with a high-order energy method.

Bibliographic Details
Main Author: Hadzic, Mahir
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer-Verlag 2016
Online Access:http://hdl.handle.net/1721.1/105186