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

Agneta M. Balint and Stefan Balint

Abstract and Applied Analysis, 2012, vol. 2012, 1-21

Abstract:

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:582746

DOI: 10.1155/2012/582746

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