Uniqueness, existence and nonexistence of normal solutions to a problem in boundary layer theory

Tohoku Mathematical Journal

Volumn 51, Issue 4, 1999, Pages 539-553

  Wang, Junyu ^a   Gao, Wenjie ^a  

^a JILIN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033263210     PISSN: 00408735     EISSN: None     Source Type: Journal    
DOI: 10.2748/tmj/1178224718     Document Type: Article

References (9)

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2. A. Callegari and A. Nachman, Some singular nonlinear differential equations arising in boundary layer theory, J. Math. Anal. Appl. 64 (1978), 98-105.
3. A. Callegari and Fiedman, F. 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. V. M. Falkner and S. W. Skan, Some approximate solutions of the boundary layer equations, Phil. Mag. 12 (1931), 865-896; Aeronautical Research Council Reports and Memoranda 1314 (1930), London, UK.
5. P. Hartman, Ordinary Differential Equations, Second Edition, Birkháuser, Boston, 1982.
6. A. Nachman and A. Callegari, A nonlinear singular boundary value problem in the theory of pseudo plastic fluids, SIAM J. Appl. Math. 38 (1980), 275-281.
7. H. Schlichting, Boundary-layer Theory, Sixth Edition, McGraw-Hill Book Company, New York, 1968.
8. E. Soewono, K. Vajravelu and R. N. Mohaptra, Existence and nonuniqueness of solutions of a singular nonlinear boundary layer problem, J. Math. Anal. Appl. 159 (1991), 251-270.
9. K. Vajravelu, E. Soewono and R. N. Mohapatra, On solutions of some singular nonlinear differential equations arising in boundary layer theory, J. Math. Anal. Appl. 155 (1991), 499-512.