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

G.Yu. Kulikov, Pedro M. Lima, M. L. Morgado

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studies a generalization of the Cahn�Hilliard continuum model for multi-phase fluids where the classical Laplacian has been replaced by a degenerate one (i.e., the socalled p-Laplacian).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