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An existence theorem for some problems from boundary layer theory

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References

  1. Bailey, P., Shampine & Waltman, Nonlinear Two Point Boundary Value Problems. New York: Academic Press 1968.

    Google Scholar 

  2. Batchelor, G.K., Note on a class of solutions of the Navier-Stokes equations representing steady rotationally symmetric flow. Quart. J. Mech. Appl. Math. 4, 29–41 (1951).

    Google Scholar 

  3. Hartman, P., Ordinary Differential Equations. New York: John Wiley 1964.

    Google Scholar 

  4. Hastings, S.P., An existence theorem for a class of nonlinear boundary value problems including that of Falkner and Skan. To appear.

  5. Hastings, S.P., Existence for a Falkner-Skan type boundary value problem. To appear in J. Math. Anal and Appl.

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

    Google Scholar 

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

    Google Scholar 

  8. Ostrach, S., Laminar Flows with Body Forces, High Speed Aerodynamics and Jet Propulsion, vol. IV: Theory of Laminar Flows, F.K. Moore, ed. Princeton: Princeton University Press 1964.

    Google Scholar 

  9. Pearson, C.E., Numerical solutions for the time dependent viscous flow between two rotating coaxial disks. J. Fluid Mech. 21, 623–633 (1965).

    Google Scholar 

  10. Schlicting, H., Boundary Layer Theory, 6th ed. New York:McGraw-Hill 1968.

    Google Scholar 

  11. Serrin, J.B., Existence theorems for some compressible boundary layer problems. Studies in Applied Mathematics 5; Advances in Differential and Integral Equations. SIAM, 1969.

  12. Sparrow, F.M., & J.L. Gregg, Similar solutions for free convection. Trans. A.S.M.E. 80, 379–386 (1958).

    Google Scholar 

  13. Stewartson, K., On the flow between two rotating coaxial disks. Proc. Cambridge Phil. Soc. 49, 333–341 (1953).

    Google Scholar 

  14. von Kármán, T., Über laminare und turbulente Reibung. Z. Ang. Math. Mech. 1, 233–252 (1921).

    Google Scholar 

  15. Weyl, H., On the differential equations of the simplest boundary layer problems. Ann. of Math. 43, 233–252 (1942).

    Google Scholar 

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  1. Department of Mathematics, Case Western Reserve University, Cleveland, Ohio

    S. P. Hastings

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  1. S. P. Hastings
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Communicated by J. Serrin

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Hastings, S.P. An existence theorem for some problems from boundary layer theory. Arch. Rational Mech. Anal. 38, 308–316 (1970). https://doi.org/10.1007/BF00281527

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