Analysis of nonlinear BVPs motivated by fluid film flow over a surface
Abbreviated Journal Title
Appl. Math. Comput.
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
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.
Applied Mathematics and Computation
"Analysis of nonlinear BVPs motivated by fluid film flow over a surface" (2011). Faculty Bibliography 2010s. 2030.