Title
High-order nonlinear boundary value problems admitting multiple exact solutions with application to the fluid flow over a sheet
Abbreviated Journal Title
Appl. Math. Comput.
Keywords
Nonlinear boundary value problem; Exact solution; Multiple solutions; Non-Newtonian fluid; NAVIER-STOKES EQUATIONS; HYDROMAGNETIC FLOW; STRETCHING SHEET; SHRINKING; SHEET; HEAT-TRANSFER; VISCOUS-FLOW; SURFACE; Mathematics, Applied
Abstract
We frame a hierarchy of nonlinear boundary value problems which are shown to admit exponentially decaying exact solutions. We are able to convert the question of the existence and uniqueness of a particular solution to this nonlinear boundary value problem into a question of whether a certain polynomial has positive real roots. Furthermore, if such a polynomial has at least two distinct positive roots, then the nonlinear boundary value problem will have multiple solutions. In certain special cases, these boundary value problems arise in the self-similar solutions for the flow of certain fluids over stretching or shrinking sheets; examples given include the flow of first and second grade fluids over such surfaces. (C) 2010 Elsevier Inc. All rights reserved.
Journal Title
Applied Mathematics and Computation
Volume
216
Issue/Number
7
Publication Date
1-1-2010
Document Type
Article
Language
English
First Page
2177
Last Page
2182
WOS Identifier
ISSN
0096-3003
Recommended Citation
"High-order nonlinear boundary value problems admitting multiple exact solutions with application to the fluid flow over a sheet" (2010). Faculty Bibliography 2010s. 881.
https://stars.library.ucf.edu/facultybib2010/881
Comments
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