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On a Double Integral Variational Problem

Published online by Cambridge University Press:  20 November 2018

P. R. Garabedian  and
M. Schiffer
P. R. Garabedian
Affiliation:
Stanford University
M. Schiffer
Affiliation:
Stanford University
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The results presented here were motivated by a desire to give a simple treatment of the non-linear elliptic partial differential equation governing the steady irrotational subsonic flow of an ideal compressible fluid. For two independent space variables x and y, the stream function Ψ of such a flow satisfies an equation

,

where is an analytic, increasing, convex function of whose explicit form depends on the equation of state of the fluid in question.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 6 , 1954 , pp. 441 - 446
Copyright
Copyright © Canadian Mathematical Society 1954

References

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