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

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studies a generalization of the Cahn–Hilliard continuum model for multi-phase fluids where the classical Laplacian has been replaced by a degenerate one (i.e., the so-called p-Laplacian).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

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Vydáno v:	Journal of computational and applied mathematics Ročník 262; s. 87 - 104
Hlavní autoři:	Kulikov, G.Yu, Lima, P.M., Morgado, M.L.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Elsevier B.V 15.05.2014
Témata:	Degenerate Laplacian Nested implicit Runge–Kutta formulas with global error control Nonlinear ordinary differential equations Shooting method Singular boundary value problems 65L05 34B16 Degenerate Laplacian Nonlinear ordinary differential equations Nested implicit Runge–Kutta formulas with global error control Singular boundary value problems Shooting method
ISSN:	0377-0427, 1879-1778
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