Some singular, nonlinear differential equations arising in boundary layer theory
โ Scribed by A Callegari; A Nachman
- Book ID
- 107800522
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 414 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## 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).
The differential equation ## F"' + AFF" -I-BF12 = 0, where A and B are arbitrary constants subject to different types of boundary conditions, is considered. This class of equations frequently occurs in boundary-layer theory. The proposed Dirichlet series method, in conjunction with an unconstrain
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