Name
Title | ||
|---|---|---|
Analysis and numerical approximation of singular boundary value problems with the p-Laplacian in fluid mechanics. |
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studies a generalization of the Cahn-Hilliard continuum model for multi-phase fluids where the classical Laplacian has been replaced by a degenerate one (i.e., the so-called p-Laplacian).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. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.cam.2013.09.071 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
computed data,efficient technique,cahn-hilliard continuum model,singular point,classical laplacian,paper study,singular boundary value problem,fluid mechanic,asymptotic behavior,numerical integration,multi-phase fluid,numerical approximation,shooting method | Shooting method,Mathematical optimization,Mathematical analysis,Singular solution,Numerical integration,Fluid mechanics,Singular boundary method,Asymptotic analysis,Mathematics,p-Laplacian,Laplace operator | Journal |
Volume | ISSN | Citations |
262 | 0377-0427 | 2 |
PageRank | References | Authors |
0.46 | 5 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| G. Yu. Kulikov | 1 | 42 | 5.58 |
| P. M. Lima | 2 | 45 | 4.75 |
| M. L. Morgado | 3 | 17 | 2.12 |