Analysis of nonlinear BVPs motivated by fluid film flow over a surface

    Authors

    R. A. Van Gorder

    Comments

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    Abbreviated Journal Title

    Appl. Math. Comput.

    Keywords

    Nonlinear boundary value problem; Existence theorem; Uniqueness theorem; Perturbation solutions; Ill-posed problem; UNSTEADY STRETCHING SHEET; BOUNDARY-LAYER EQUATIONS; STAGNATION-POINT; FLOW; NON-NEWTONIAN FLUID; HEAT-TRANSFER; VISCOELASTIC FLUID; 2ND-GRADE; FLUID; LIQUID-FILM; MASS-TRANSFER; MIXED CONVECTION; Mathematics, Applied

    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. (C) 2011 Elsevier Inc. All rights reserved.

    Journal Title

    Applied Mathematics and Computation

    Volume

    217

    Issue/Number

    20

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    8068

    Last Page

    8079

    WOS Identifier

    WOS:000290570000022

    ISSN

    0096-3003

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