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On the determination of the zones of influence and dependence for three-dimensional boundary-layer equations

Published online by Cambridge University Press:  29 March 2006

K. C. Wang
Affiliation:
Research Institute for Advanced Studies, Martin Marietta Corporation, Baltimore, Md.

Abstract

The zones of influence and dependence for three-dimensional boundary-layer equations first studied by Raetz are re-examined from the viewpoint of the subcharacteristics. It is shown that in contrast, the zones of influence and dependence for a totally hyperbolic system are determined by the characteristics; for the present parabolic system of three-dimensional boundary-layer equations, the zones are determined by the characteristics and subcharacteristics. The same idea should be applicable to more general systems of equations of similar type.

Type
Research Article
Copyright
© 1971 Cambridge University Press

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References

Cole, J. D. 1968 Perturbation Methods in Applied Mathematics. Mass.: Blaisdell.
Courant, R. 1962 Methods of Mathematical Physics, Vol. ii. New York: Interscience.
Der, J. 1969 Amer. Inst. Aero. Astro. paper no. 69-138.
Der, J. & Raetz, G. S. 1962 Inst. Aeron Sci. Paper no. 62-70.
Dwyer, H. A. 1970 Bulletin Amer. Phys. Soc. Series ii, 15, 1555.
Dwyer, H. A. & McCroskey, W. J. 1970 Amer. Inst. Aero. Astro, paper no. 70-50.
Hall, M. G. 1967 Royal Aircraft Establishment TR 6714.
Issacson, E. & Keller, H. S. 1966 Analysis of Numerical Method. New York: Wiley.
Moore, F. K. 1953 J. Aero. Sci. 20, 525534.
Lagerstrom, P. A., Cole, J. D. & Trilling, L. 1949 California Institute of Technology Report.
Petrovsky, I. G. 1954 Lectures on Partial Differential Equations. New York: Interscience.
Raetz, G. S. 1957 Northrop Corporation Report NAI-58–73.
Sommerfeld, A. 1949 Partial Differential Equations in Physics. New York: Academic.
Wang, K. C. 1969 Res. Inst. Advanced Studies TR 69-13.
Wang, K. C. 1970a J. Fluid Mech. 43, 187209.
Wang, K. C. 1970b Res. Inst. Advanced Studies TR 70–07, also Amer. Inst. Aero. Astro. paper no. 71–130.