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IMA Journal of Applied Mathematics 1971 7(3):337-347; doi:10.1093/imamat/7.3.337
© 1971 by Institute of Mathematics and its Applications
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A New Approach to the Delta Wing Problem

R. S. TAYLOR

Department of Mathematics, University of Surrey Guildford, England

The "delta-wing problem" involves a solution of Laplace's equation near the apex of an infinite sector, subject to certain boundary conditions; it is known that the solution involves rv where r is the distance from the apex and v is a parameter depending on the angle of the sector. The core of the problem is the determination of v.

This paper gives a new approach, based on the use of elliptic conal coordinates, and the solution of the resulting Lamé equation by a new perturbation technique.


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