Existence and Stability of the Solution of a Nonlinear Boundary Value Problem

被引：2
作者：
Balint, Agneta M. [1 ]
Balint, Stefan [2 ]
机构：
[1] W Univ Timisoara, Fac Phys, Timisoara 300223, Romania
[2] W Univ Timisoara, Fac Math & Comp Sci, Timisoara 300223, Romania
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
关键词：
SINGLE-CRYSTAL FIBERS; PULLING-DOWN METHOD; NIOBATE FIBERS; GROWTH; SEGREGATION; CONVECTION;
D O I：
10.1155/2012/582746
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose is to find conditions assuring the existence of solutions for a nonlinear, boundary value problem in case of the axis-symmetric Young-Laplace differential equation. The equation describes the capillary surface between two static fluids. Necessary or sufficient conditions are found for the existence of a solution. The static stability of the obtained solution is also analyzed and stability or instability results are revealed. For the NdYAG microfiber growth, by the pulling-down method, numerical illustrations are given.
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页数：21
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