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

• Autores: G.Yu. Kulikov, Pedro M. Lima, M. L. Morgado
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 262, Nº 1, 2014, págs. 87-104
• Idioma: inglés
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• Resumen

  • 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studies a generalization of the Cahn�Hilliard continuum model for multi-phase fluids where the classical Laplacian has been replaced by a degenerate one (i.e., the socalled p-Laplacian).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.