Analysis and numerical approximation of singular boundary value problems with the p-Laplacian in fluid mechanics

Authors:
G. Yu. Kulikov;P. M. Lima;M. L. Morgado
Affiliations:
-;-;-
Venue:
Journal of Computational and Applied Mathematics
Year:
2014

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Abstract

This paper studies a generalization of the Cahn-Hilliard continuum model for multi-phase fluids where the classical Laplacian has been replaced by a degenerate one (i.e., the so-called p-Laplacian). The solution's asymptotic behavior is analyzed at two singular points; namely, at the origin and at infinity. An efficient technique for treating such singular boundary value problems is presented, and results of numerical integration are discussed and compared with earlier computed data.