Center for Nonlinear AnalysisCNA Home People Seminars Publications Workshops and Conferences CNA Working Groups Summer Schools Summer Undergraduate Institute PIRE Cooperation Graduate Topics Courses SIAM Chapter Seminar Positions Contact
Motion of Elastic Thin Films by Anisotropic Surface Diffusion with Curvature Regularization
Abstract: Short time existence, uniqueness, and regularity for a surface diffusion evolution equation with curvature regularization are proved in the context of epitaxially strained two-dimensional films. This is achieved by using the H-1-gradient flow structure of the evolution law, via De Giorgi's minimizing movements. This seems to be the first short time existence result for a surface diffusion type geometric evolution equation in the presence of elasticity.
Get the paper in its entirety as