On the asymptotic behaviour of velocity profiles in laminar boundary layers
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Keywords
Neural Network Boundary Layer Complex System Asymptotic Behaviour Velocity Profile
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References
- 1.Bailey, P. B., L. F. Shampine & P. E. Waltman, Nonlinear Two Point Boundary Value Problems. New York: Academic Press 1968.Google Scholar
- 2.Chen, K. K., & P. A. Libby, Boundary layers with small departures from the Falkner-Skan profile. J. Fluid Mech. 33, 273–282 (1968).Google Scholar
- 3.Coppel, W. A., On a differential equation of boundary layer theory. Phil. Trans. A 253, 101–136 (1960).Google Scholar
- 4.Iglisch, R., Elementarer Existenzbeweis für die Strömung in der laminaren Grenzschicht zur Potentialströmung U=u 1xmmit m>0 bei Absaugen und Ausblasen. Z. angew. Math. Mech. 33, 143–147 (1953).Google Scholar
- 5.Iglisch, R., Elementarer Beweis für die Eindeutigkeit der Strömung in der laminaren Grenzschicht zur Potentialströmung U=u 1xmmit m>0 bei Absaugen und Ausblasen. Z. angew. Math. Mech. 34, 441–443 (1954).Google Scholar
- 6.Krzyżański, M., Certaines inégalités relatives aux solutions de l'équation parabolique linéaire normale. Bull. Acad. Polon. Sci., Ser. Math. Ast. Phys. 7, 131–135 (1958).Google Scholar
- 7.Nickel, K., Einzige Eigenschaften von Lösungen der Prandtlschen Grenzschicht-Differentialgleichungen. Arch. Rat. Mech. Anal. 2, 1–31 (1958).Google Scholar
- 8.Oleinik, O. A., The Prandtl system of equations in boundary layer theory. Dokl. Akad. Nauk. SSSR. 150, 28–32 (1963) [English trans. Sov. Math. 4, 583–586 (1963)].Google Scholar
- 9.Oleinik, O. A., & S. N. Kruzhkov, Quasilinear second order parabolic equations with many independent variables. Uspekhi Matem. Nauk 16, 5, 115–156 (1961) [English trans. Russ. Math. Surveys 16, 105–146 (1961)].Google Scholar
- 10.Schlichting, H., Boundary Layer Theory, 6th Ed. New York: McGraw-Hill 1968.Google Scholar
- 11.Serrin, J., Asymptotic behaviour of velocity profiles in the Prandtl boundary layer theory. Proc. Roy. Soc. A 299, 491–507 (1967).Google Scholar
- 12.Walter, W., Differential- und Integral-Ungleichungen. Berlin-Göttingen-Heidelberg-New York: Springer 1964.Google Scholar
- 13.Weyl, H., On the differential equations of the simplest boundary-layer problems. Ann. Math. 43, 381–407 (1942).Google Scholar
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