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Existence of solutions to the third-order nonlinear differential equations arising in boundary layer theory

โœ Scribed by Guang Chong Yang

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
341 KB
Volume
16
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

By

a new approach, we prove in this paper that there exists Xo E (-l/2,0) such that the following third-order nonlinear boundary value problem for f(n):

which arises in boundary layer theory in fluid mechanics, has a solution at least for any fixed X E (Xo, 0).

๐Ÿ“œ SIMILAR VOLUMES

A note on the solution of a differential
A note on the solution of a differential equation arising in boundary-layer theory
โœ J. H. Merkin ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Springer ๐ŸŒ English โš– 255 KB

The differential equation f ' " + i f " + ~kf '2 = 0 (where dashes denote differentiation with respect to the independent variable 7/) subject to the boundary conditions f(0) = 0, f'(oo) = 0 and either f'(0) = 1 or f"(0) = -1 is considered. It is shown that by using p -= f ' as dependent variable an