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

Research output: Contribution to journal › Article › peer-review

12 Downloads (Pure)

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

@article{b6a8f6e6c4de472fa340a1cda807bdcd,

title = "A note on mixed boundary value problems involving triple trigonometrical series",

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.",

keywords = "Mixed-boundary value problems, Triple trigonometrical series, Triple integral equations",

author = "Chatjigeorgiou, {Ioannis K.}",

year = "2016",

month = jul,

doi = "10.1016/j.aml.2015.12.020",

language = "English",

volume = "57",

pages = "25--31",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

publisher = "Elsevier",

}

TY - JOUR

T1 - A note on mixed boundary value problems involving triple trigonometrical series

AU - Chatjigeorgiou, Ioannis K.

PY - 2016/7

Y1 - 2016/7

N2 - 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.

AB - 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.

KW - Mixed-boundary value problems

KW - Triple trigonometrical series

KW - Triple integral equations

U2 - 10.1016/j.aml.2015.12.020

DO - 10.1016/j.aml.2015.12.020

M3 - Article

VL - 57

SP - 25

EP - 31

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

SN - 0893-9659

ER -