Similarity solutions in the theory of curvature driven diffusion along planar curves: I. Symmetric curves expanding in time

Physica D: Nonlinear Phenomena

Volumn 121, Issue 3-4, 1998, Pages 263-274

  Asvadurov, Sergey ^a   Coleman, Bernard D ^a   Falk, Richard S ^a   Moakher, Maher ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

Similarity solutions; Surface diffusion

Indexed keywords

EID: 0039938046     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(98)00160-2     Document Type: Article

References (8)

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3. W.W. Mullins, Two-dimensional motion of idealized grain boundaries, J. Appl. Phys. 27 (1956) 900-904.
4. G. Huisken, Flow by mean curvature of convex surfaces into spheres, J. Diff. Geom. 20 (1984) 237-266.
5. W.M. Robertson, Grain-boundary grooving by surface diffusion for finite surface slopes, J. Appl. Phys. 42 (1971) 463-467.
6. R.C. Sun, C.L. Bauer, Measurements of grain boundary mobilities through magnification of capillary forces, Acta Met. 18 (1970) 635-638.
7. P. Broadbridge, Exact solvability of the Mullins nonlinear diffusion model of groove development, J. Math. Phys. 30 (1989) 1648-1651.
8. H. Wong, M.J. Miksis, P.W. Voorhees, S.H. Davis, Capillarity driven motion of solid film wedges, Acta Mater. 45 (1997) 2477-2484.