Study of Singular Capillary Surfaces and Development of the Cluster Newton Method

In this thesis, we explore two important aspects of study of differential equations: analytical and computational aspects. We first consider a partial differential equation model for a static liquid surface (capillary surface). We prove through mathematical analyses that the solution of this mathe...

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Bibliographic Details
Main Author: Aoki, Yasunori
Language:en
Published: 2012
Subjects:
Online Access:http://hdl.handle.net/10012/6908