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On a Double Integral Variational Problem
Published online by Cambridge University Press: 20 November 2018
Extract
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.
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- Copyright © Canadian Mathematical Society 1954
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