Existence and stability of the solution of a nonlinear boundary value problem (Q1938244)
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scientific article; zbMATH DE number 6134120
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and stability of the solution of a nonlinear boundary value problem |
scientific article; zbMATH DE number 6134120 |
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Existence and stability of the solution of a nonlinear boundary value problem (English)
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4 February 2013
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Summary: 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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