Existence and stability of the solution of a nonlinear boundary value problem
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.
scientific article; zbMATH DE number 6134120