Title
Analysis Of Nonlinear Bvps Motivated By Fluid Film Flow Over A Surface
Keywords
Existence theorem; Ill-posed problem; Nonlinear boundary value problem; Perturbation solutions; Uniqueness theorem
Abstract
We study a coupled nonlinear boundary value problem which has been shown to have applications to fluid flow and heat transfer in a fluid film over a stretching surface for set values of the model parameters (one of which determines the size of the problem domain). For arbitrary values of these parameters we are able to establish the existence and uniqueness of a class of monotone solutions. Perturbation solutions are then constructed and used to approximate certain invariants for the solutions. We then study a related boundary value problem formed by imposing an additional boundary condition on one of the governing equations (which results in an ill-posed problem), and we arrive at conditions allowing for solutions to this four-parameter problem to agree with the solutions to the three-parameter problem. © 2011 Elsevier Inc. All rights reserved.
Publication Date
6-15-2011
Publication Title
Applied Mathematics and Computation
Volume
217
Issue
20
Number of Pages
8068-8079
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1016/j.amc.2011.03.006
Copyright Status
Unknown
Socpus ID
79956099479 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/79956099479
STARS Citation
Van Gorder, Robert A., "Analysis Of Nonlinear Bvps Motivated By Fluid Film Flow Over A Surface" (2011). Scopus Export 2010-2014. 2483.
https://stars.library.ucf.edu/scopus2010/2483