A Numerical Scheme for the Two Phase Mullins-Sekerka Problem

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dc.contributor.authorBates, Peter W.
dc.contributor.authorChen, Xinfu
dc.contributor.authorDeng, Xinyu
dc.date.accessioned2018-08-21T17:27:04Z
dc.date.available2018-08-21T17:27:04Z
dc.date.issued1995-08-18
dc.description.abstractAn algorithm is presented to numerically treat a free boundary problem arising in the theory of phase transition. The problem is one in which a collection of simple closed curves (particles) evolves in such a way that the enclosed area remains constant while the total arclength decreases. Material is transported between particles and within particles by diffusion, driven by curvature which expresses the effect of surface tension. The algorithm is based on a reformulation of the problem, using boundary integrals, which is then discretized and cast as a semi-implicit scheme. This scheme is implemented with a variety of configurations of initial curves showing that convexity or even topological type may not be preserved.
dc.description.departmentMathematics
dc.formatText
dc.format.extent28 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBates, P. W., Chen, X., Deng, X. (1995). A numerical scheme for the two phase Mullins-Sekerka problem. <i>Electronic Journal of Differential Equations, 1995</i>(11), pp. 1-28.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/7571
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 1995, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectBoundary integral
dc.subjectFree boundary problem
dc.subjectMotion by curvature
dc.subjectOstwald ripening
dc.titleA Numerical Scheme for the Two Phase Mullins-Sekerka Problem
dc.typeArticle

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