Title
Existence and uniqueness results for a nonlinear differential equation arising in viscous flow over a nonlinearly stretching sheet
Abbreviated Journal Title
Appl. Math. Lett.
Keywords
Boundary layer problem; Similarity solution; Viscous flow; Stretching; sheet; Existence and uniqueness theorems; BOUNDARY-LAYER EQUATIONS; HEAT-TRANSFER; VISCOELASTIC FLUID; MASS-TRANSFER; SUCTION; PLATE; Mathematics, Applied
Abstract
We establish the existence and uniqueness results for a class of nonlinear third order ordinary differential equations arising in the viscous flow over a nonlinearly stretching sheet. In particular, we consider solutions over the semi-infinite interval [0, infinity). These results generalize the results of Vajravelu and Cannon [K. Vajravelu, J.R. Cannon, Applied Mathematics and Computation 181 (2006) 609], where they considered the finite interval [0, R]. Also in this paper, we answer their open question of finding the existence and uniqueness results for the problem over the semi-infinite domain and discuss the properties of the solution. (C) 2010 Elsevier Ltd. All rights reserved.
Journal Title
Applied Mathematics Letters
Volume
24
Issue/Number
2
Publication Date
1-1-2011
Document Type
Article
Language
English
First Page
238
Last Page
242
WOS Identifier
ISSN
0893-9659
Recommended Citation
"Existence and uniqueness results for a nonlinear differential equation arising in viscous flow over a nonlinearly stretching sheet" (2011). Faculty Bibliography 2010s. 2041.
https://stars.library.ucf.edu/facultybib2010/2041
Comments
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