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Mean Curvature Type Flow with Perpendicular Neumann Boundary Condition inside a Convex Cone
Joint Authors
Guo, Fangcheng
Li, Guanghan
Wu, Chuanxi
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-17
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We investigate the evolution of hypersurfaces with perpendicular Neumann boundary condition under mean curvature type flow, where the boundary manifold is a convex cone.
We find that the volume enclosed by the cone and the evolving hypersurface is invariant.
By maximal principle, we prove that the solutions of this flow exist for all time and converge to some part of a sphere exponentially as t tends to infinity.
American Psychological Association (APA)
Guo, Fangcheng& Li, Guanghan& Wu, Chuanxi. 2014. Mean Curvature Type Flow with Perpendicular Neumann Boundary Condition inside a Convex Cone. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1013698
Modern Language Association (MLA)
Guo, Fangcheng…[et al.]. Mean Curvature Type Flow with Perpendicular Neumann Boundary Condition inside a Convex Cone. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1013698
American Medical Association (AMA)
Guo, Fangcheng& Li, Guanghan& Wu, Chuanxi. Mean Curvature Type Flow with Perpendicular Neumann Boundary Condition inside a Convex Cone. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1013698
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013698