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

Socpus ID

79956099479 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/79956099479

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