On functional equations leading to exact solutions for standing internal waves
dc.contributor.author | Beckebanze, F. | |
dc.contributor.author | Keady, Grant | |
dc.date.accessioned | 2017-01-30T15:37:36Z | |
dc.date.available | 2017-01-30T15:37:36Z | |
dc.date.created | 2015-12-10T04:26:13Z | |
dc.date.issued | 2016 | |
dc.identifier.citation | Beckebanze, F. and Keady, G. 2016. On functional equations leading to exact solutions for standing internal waves. Wave Motion. 60: pp. 181-195. | |
dc.identifier.uri | http://hdl.handle.net/20.500.11937/48135 | |
dc.identifier.doi | 10.1016/j.wavemoti.2015.09.009 | |
dc.description.abstract |
The Dirichlet problem for the wave equation is a classical example of a problem which is ill-posed. Nevertheless, it has been used to model internal waves oscillating harmonically 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 Schröder functional equations which arise in this problem and use them as a convenient way of organising analytical solutions. Exact internal wave solutions are constructed for a selected number of simple depth functions d. | |
dc.publisher | Elsevier BV | |
dc.title | On functional equations leading to exact solutions for standing internal waves | |
dc.type | Journal Article | |
dcterms.source.volume | 60 | |
dcterms.source.startPage | 181 | |
dcterms.source.endPage | 195 | |
dcterms.source.issn | 0165-2125 | |
dcterms.source.title | Wave Motion | |
curtin.department | Department of Mathematics and Statistics | |
curtin.accessStatus | Open access |