Showing papers in "Journal D Analyse Mathematique in 1976"

Holomorphic curves and metrics of negative curvature

Abstract: In this paper we shall prove some of the basic results in the theory of holomorphic curves using the method of negative curvature which has recently been fruitful in the study of equidimensional holomorphic mappings. The eventual goal of the theory is to understand the position of holomorphic curves in general algebraic varieties: and it seemed to us that substantial progress on this problem necessitated finding new proofs of the classical results. To explain this a little better, it may be useful to give a historical sketch of the subject. The classical theory deals with a non-degenerate holomorphic mapping f:C---~P", which we shall call a hofomorphic curve, and in brief outline developed as follows:

Computation of wave drag for transonic flow

Abstract: The paper develops a method for calculating wave drag for two-dimensional transonic flow, with particular application to the prediction of the drag rise Mach number of a supercritical wing section. The method is based on a transonic similarity model which is defined by a normalized small perturbation equation and represents shock waves by the addition of an artificial viscosity term in the region of supersonic flow to the partial differential equation. The drag formula obtained allows the computer simulation of transonic wind tunnel data taking account of boundary layer and wall effects.