Nonlinear Boundary Value Problem for Concave Capillary Surfaces Occurring in Single Crystal Rod Growth from the Melt

Stefan Balint; Agneta Maria Balint

doi:10.1155/2008/310924

Research Article
Open Access

Nonlinear Boundary Value Problem for Concave Capillary Surfaces Occurring in Single Crystal Rod Growth from the Melt

Stefan Balint¹ and
Agneta Maria Balint²Email author

Journal of Inequalities and Applications20082008:310924

https://doi.org/10.1155/2008/310924

Received: 6 May 2008
Accepted: 16 October 2008
Published: 20 November 2008

Abstract

The boundary value problem , , , , and is strictly decreasing on , is considered. Here, are constants having the following properties: are strictly positive and . Necessary or sufficient conditions are given in terms of for the existence of concave solutions of the above nonlinear boundary value problem (NLBVP). Numerical illustration is given. This kind of results is useful in the experiment planning and technology design of single crystal rod growth from the melt by edge-defined film-fed growth (EFG) method. With this aim, this study was undertaken.

Keywords

Full Article
Nonlinear Boundary
Publisher Note
Capillary Surface

Publisher note

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Authors’ Affiliations

(1)

Department of Computer Science, Faculty of Mathematics and Computer Science, West University of Timisoara, 4, Vasile Parvan Boulevard, 300223 Timisoara, Romania

(2)

Faculty of Physics, West University of Timisoara, 4, Vasile Parvan Boulevard, 300223 Timisoara, Romania

Copyright

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.