Singular Nonlinear Boundary Value Problems Arising in Boundary Layer Theory

Journal of Mathematical Analysis and Applications

Volumn 233, Issue 1, 1999, Pages 246-256

  Wang, Junyu ^a   Gao, Wenjie ^a   Zhang, Zhongxin ^b  

^a JILIN UNIVERSITY   (China)

^b Changchun Institute of Posts and Telecommunications   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041993689     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1999.6290     Document Type: Article

References (9)

1. Acheson D. J. Elementary Fluid Dynamics. 1990;Clarendon Press, Oxford. p. 292-293.
2. Callegari A., Nachman A. Some singular nonlinear differential equation arising in boundary layer theory. J. Math. Anal. Appl. 64:1978;98-105.
3. Callegari A., Fiedman. An analytic solution of a nonlinear singular boundary value problem in the theory of viscous fluids. J. Math. Anal. Appl. 21:1968;510-529.
4. Falkner V. M., Skan S. W. Some approximate solutions of the boundary layer equations. Philos. Mag. 12:1931;865-896.
5. Hartman P. Ordinary Differential Equations. 1982;Birkhäuser, Boston.
6. Nachman A., Callegari A. A nonlinear singular boundary value problem in the theory of pseudoplastic fluids. SIAM J. Appl. Math. 38:1980;275-281.
7. Schlichting H. Boundary-layer Theory. 1968;McGraw-Hill Book Company, New York.
8. Soewono E., Vajravelu K., Mohapatra R. N. Existence and nonuniqueness of solutions of a singular nonlinear boundary layer problem. J. Math. Anal. Appl. 159:1991;251-270.
9. Vajravelu K., Soewono E., Mohapatra R. N. On solutions of some singular nonlinear differential equations arising in boundary layer theory. J. Math. Anal. Appl. 155:1991;499-512.