1,174 research outputs found
Identification of geometrical models of interface evolution for dendritic crystal growth
This paper introduces a method for identifying geometrical models of interface evolution, directly from experimental imaging data. These local growth models relate
normal growth velocity to curvature and its derivatives estimated along the growing interface. Such models can reproduce many qualitative features of dendritic crystal
growth as well as predict quantitatively its early stages of evolution. Numerical simulations and experimental crystal growth data are used to demonstrate the applicability of this approach
Geometric partial differential equations: Theory, numerics and applications
This workshop concentrated on partial differential equations involving stationary and evolving surfaces in which geometric quantities play a major role. Mutual interest in this emerging field stimulated the interaction between analysis, numerical solution, and applications
A variational formulation of anisotropic geometric evolution equations in higher dimensions
Accepted versio
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