Existence and Stability of the Solution of a Nonlinear Boundary Value Problem-Reference-Cited by-同舟云学术

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

Published:2012 Issue: Volume:2012 Page:1-21
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Balint Agneta M.¹,Balint Stefan²

Affiliation:

1. Faculty of Physics, West University of Timisoara, Bulevard V.Parvan 4, 300223 Timisoara, Romania

2. Faculty of Mathematics and Computer Science, West University of Timisoara, Bulevard V.Parvan 4, 300223 Timisoara, Romania

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.

Funder

Romanian National Authority for Scientific Research, CNCS-UEFISCDI

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/582746.pdf

Reference19 articles.

1. Photorefractive holographic recording in strontium barium niobate fibers

2. Uniform refractive index cladding for LiNbO3single‐crystal fibers

3. Holographic image storage in iron‐doped lithium niobate fibers

4. Crystal growth of dislocation-free LiNbO3 single crystals by micro pulling down method

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2. The effect of the pressure difference across the free surface in case of a NdYAG micro fiber growth by the micro-pulling-down process;AIP Conference Proceedings;2017