Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.cam.2012.02.013
Title: Numerical simulation and linear well-posedness analysis for a class of three-phase boundary motion problems
Authors: Pan, Z. 
Wetton, B.
Keywords: Curvature motion
Grain boundary
Surface diffusion
Three-phase problem
Well-posedness
Issue Date: Jul-2012
Citation: Pan, Z., Wetton, B. (2012-07). Numerical simulation and linear well-posedness analysis for a class of three-phase boundary motion problems. Journal of Computational and Applied Mathematics 236 (13) : 3160-3173. ScholarBank@NUS Repository. https://doi.org/10.1016/j.cam.2012.02.013
Abstract: We investigate the linear well-posedness for a class of three-phase boundary motion problems and perform some numerical simulations. In a typical model, three-phase boundaries evolve under certain evolution laws with specified normal velocities. The boundaries meet at a triple junction with appropriate conditions applied. A system of partial differential equations and algebraic equations (PDAE) is proposed to describe the problems. With reasonable assumptions, all problems are shown to be well-posed if all three boundaries evolve under the same evolution law. For problems involving two or more evolution laws, we show the well-posedness case by case for some examples. Numerical simulations are performed for some examples. © 2012 Elsevier B.V. All rights reserved.
Source Title: Journal of Computational and Applied Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/126636
ISSN: 03770427
DOI: 10.1016/j.cam.2012.02.013
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