A note on mixed boundary value problems involving triple trigonometrical series

Ioannis K. Chatjigeorgiou

doi:10.1016/j.aml.2015.12.020

A note on mixed boundary value problems involving triple trigonometrical series

Ioannis K. Chatjigeorgiou

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Abstract

This study was motivated by the two-dimensional hydrodynamic slamming problem of a steep wave hitting a vertical wall. The fundamental problem considers dual impact on the wall at the lower and upper regions resembling the impact of a wave at the time of its breaking. The solution method results into a mixed-boundary value problem that involves a triplet of trigonometrical series which, to the author’s best knowledge, has not been investigated in the past. The formulation of the mixed-boundary value problem is generic and could be used in different fields as well.

Original language	English
Pages (from-to)	25-31
Number of pages	7
Journal	Applied Mathematics Letters
Volume	57
Early online date	18 Jan 2016
DOIs	https://doi.org/10.1016/j.aml.2015.12.020
Publication status	Published - Jul 2016

Keywords

Mixed-boundary value problems
Triple trigonometrical series
Triple integral equations

Access to Document

10.1016/j.aml.2015.12.020

AML_RevisedAccepted author manuscript, 278 KBLicence: CC BY-NC-ND

Cite this

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abstract = "This study was motivated by the two-dimensional hydrodynamic slamming problem of a steep wave hitting a vertical wall. The fundamental problem considers dual impact on the wall at the lower and upper regions resembling the impact of a wave at the time of its breaking. The solution method results into a mixed-boundary value problem that involves a triplet of trigonometrical series which, to the author{\textquoteright}s best knowledge, has not been investigated in the past. The formulation of the mixed-boundary value problem is generic and could be used in different fields as well.",

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