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On functional-differential equations and some laminar boundary layer problems

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References

  1. Hartman, P., On boundary value problems for systems of ordinary non-linear, second order differential equations. Trans. Amer. Math. Soc. 96, 493–509 (1960).

    Google Scholar 

  2. Hartman, P., Ordinary Differential Equations. New York: John Wiley & Sons, Inc. 1964.

    Google Scholar 

  3. Hartman, P., On third order, non-linear, singular, boundary value problems. Pac. J. Math. (to appear).

  4. Hastings, S.P., An existence theorem for a problem from boundary layer theory. Arch. Rational Mech. Anal. 33, 103–109 (1969).

    Google Scholar 

  5. Hastings, S.P., An existence theorem for some problems from boundary layer theory. Arch. Rational Mech. Anal. (to appear).

  6. Howarth, L.N., A note on the existence of certain viscous flows. J. Math. and Phys. 40, 172–176 (1961).

    Google Scholar 

  7. Howarth, L., Laminar Boundary Layers. Handbuch der Physik, Vol. 8/1, Berlin-Göttingen-Heidelberg: Springer 1959.

    Google Scholar 

  8. Howarth, L., The boundary layer in three dimensional flow I. Phil. Mag. (7) 42, 239–243 (1951).

    Google Scholar 

  9. Kármàn, T. Von, & Lin, C.C., On the existence of an exact solution of the equations of Navier-Stokes. Comm. Pure App. Math. 14, 645–655 (1961).

    Google Scholar 

  10. McLeod, J.B., & Serrin, J., The existence of similar solutions for some laminar boundary layer problems. Arch. Rational Mech. Anal. 31, 288–303 (1968).

    Google Scholar 

  11. McLeod, J.B., Von Kármàn's swirling flow problem. Arch. Rational Mech. Anal. 33, 91–102 (1969).

    Google Scholar 

  12. Nagumo, M., Über die Differentialgleichung y″=f(x,y,y′. Proc. of the Phys. Soc. Japan (3) 19, 861–866 (1937).

    Google Scholar 

  13. Serrin, J., Existence theorems for some compressible boundary layer problems. Proceedings of the Conference on the Qualitative Theory of Non-Linear Differential Equations. University of Wisconsin 1968.

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Authors and Affiliations

  1. Department of Mathematics, The Johns Hopkins University, Baltimore, Md.

    Chih-Chin Lan

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  1. Chih-Chin Lan
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Cummunicated by J. Serrin

This research was partially sponsored by the Air Force Office of Scintific Research, Office of Aerospace Research, United States Air Force, under contract No. F44620-67-C-0098. This article is part of the author's doctoral thesis, written under the direction of Professor Philip Hartman, at The Johns Hopkins University.

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Lan, CC. On functional-differential equations and some laminar boundary layer problems. Arch. Rational Mech. Anal. 42, 24–39 (1971). https://doi.org/10.1007/BF00282315

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