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G. Hastermann, P. Lima, L. Morgado, E. Weinmüller:
"Density Profile Equation with p-Laplacian: Analysis and Numerical Simulation";
in: "ASC Report 35/2013", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2013, ISBN: 978-3-902627-06-3, 1 - 15.

Analytical properties of a nonlinear singular second order boundary value problem in ordinary di erential equations posed on an unbounded domain for the density pro le of the formation of microscopic bubbles in a nonhomogeneous uid are discussed. Especially, su cient conditions for the existence and uniqueness of solutions are derived. Two approximation methods are presented for the numerical solution of the problem, one of them utilizes the open domain Matlab code bvpsuite. The results of numerical simulations are presented and discussed.

Singular boundary value problems, nonlinear ordinary di erential equations, degenerate Laplacian, collocation methods, shooting methods.Singular boundary value problems, nonlinear ordinary di erential equations, degenerate Laplacian, collocation methods,

http://www.asc.tuwien.ac.at/preprint/2013/asc35x2013.pdf