Dynamics of evolving surfaces with small corner energy regularization
DOI10.1016/j.na.2005.03.038zbMath1224.82037OpenAlexW1975125397MaRDI QIDQ999892
Publication date: 4 February 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2005.03.038
surface diffusionanisotropyparametric finite elementsWulff shapefacetingfourth- and sixth-order equations
Statistical mechanics of crystals (82D25) Ill-posed problems for PDEs (35R25) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Crystals in solids (74N05)
Cites Work
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- Interface evolution in three dimensions with curvature-dependent energy and surface diffusion: Interface-controlled evolution, phase transitions, epitaxial growth of elastic films
- A discrete scheme for regularized anisotropic diffusion: a 6th order geometric evolution equation
- A numerical scheme for regularized anisotropic curve shortening flow
- A Regularized Equation for Anisotropic Motion-by-Curvature
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Some Theorems on the Free Energies of Crystal Surfaces
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