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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.

Information

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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