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On axially symmetric waves
I. Linearized compressible flow with axial boundary conditions
Published online by Cambridge University Press: 24 October 2008
Abstract
The wave equation with axial symmetry is reduced, by the assumption of dynamic similarity, to an equation in two variables, r/t and θ A basic solution, having some of the attributes of a source, is introduced, and it is shown that, by use of this solution and a suitable contour integral representation, the solution of any appropriate boundary-value problem may be reduced to the determination of an analytic function, with boundary conditions given by an integral equation.
The method of solution is illustrated by reference to some basic problems in the theory of linearized compressible flow.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 59 , Issue 3 , July 1963 , pp. 637 - 654
- Copyright
- Copyright © Cambridge Philosophical Society 1963
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