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On functional equations leading to exact...
Beckebanze, Felix...
On functional equations leading to exact solutions for standing internal waves by Beckebanze, Felix ( Author )
N.A
25-11-2014
The Dirichlet problem for the wave equation is a classical example of a problem which is not well-posed. Nevertheless, it has been used to model internal waves oscillating sinusoidally in time, in various situations, standing internal waves amongst them. We consider internal waves in two-dimensional domains bounded above by the plane z=0 and below by z=-d(x) for depth functions d. This paper draws attention to the Abel and Schr{\"o}der functional equations as a convenient way of organizing analytical solutions. Exact internal wave solutions are constructed for a selected number of simple depth functions d.
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Article
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36.88 KB
English
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MYR 0.01
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https://arxiv.org/abs/1411.6709
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