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Existence and uniqueness results for a nonlinear differential equation arising in viscous flow over a nonlinearly stretching sheet

✍ Scribed by Robert A. Van Gorder; K. Vajravelu; F. Talay Akyildiz

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
229 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

a b s t r a c t

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, ∞). These results generalize the results of Vajravelu and Cannon [K. Vajravelu, J.R. Cannon, Applied Mathematics and Computation 181 ( ) 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.

πŸ“œ SIMILAR VOLUMES

Existence and uniqueness results for a n
Existence and uniqueness results for a nonlinear differential equation arising in MHD Falkner–Skan flow
✍ Robert A. Van Gorder; K. Vajravelu πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 194 KB

## a b s t r a c t We establish the existence and uniqueness results over the semi-infinite interval ½0; 1Þ for a class of nonlinear third order ordinary differential equations arising in magnetohydrodynamic (MHD) Falkner-Skan flows.