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Outline of mathematical theory and of aerodynamic design procedure
h Differential equations and mapping formulas
15 other sections not shown
1in-Barnes integral representations algorithm analysis analytic continuation asymptotic behaviour Barnes integrals basic stream function boundary curve branch point Chaplygin functions chapter chosen coefficients complex potential compressible computed conj constant contour convergence domains convex set corresponding defined desired aerofoil image differential Dirichlet problem elliptic error functional figure first-order branch point flows around aerofoils formulas free-stream singularity front stagnation point functions f gamma functions harmonic polynomials hodograph theory incompressible flow integrand integration curve Laplace equation Lighthill linear logarithmic singularity lower sheet mapping Mel 1in-Barnes integral Nieuwland numerical optimal-control problem parameters partial-differential equation particular solutions physical surface physical-surface variable poles potential flow proefschrift saddle point series expansions series representations shock-free aerofoils sonic stagnation point strictly convex theorem tion transonic flows Tricomi boundary-value problems two-sheeted hodograph surface upper sheet v-plane valid vector velocity zero