RESONANT SLOSHING IN SHALLOW-WATER

The ordinary differential equation which represents forced water waves on shallow water near resonance, is considered when the dispersion is small. Asymptotic methods are used to show that there are multiple solutions with period 2 pi for a given value of the detuning parameter. The effects of dissi...

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Main Authors: Ockendon, H, Ockendon, J, Johnson, A
Format: Journal article
Language:English
Published: 1986
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author Ockendon, H
Ockendon, J
Johnson, A
author_facet Ockendon, H
Ockendon, J
Johnson, A
author_sort Ockendon, H
collection OXFORD
description The ordinary differential equation which represents forced water waves on shallow water near resonance, is considered when the dispersion is small. Asymptotic methods are used to show that there are multiple solutions with period 2 pi for a given value of the detuning parameter. The effects of dissipation are also considered.
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publishDate 1986
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spelling oxford-uuid:0f138c0e-6d27-462f-a6cd-d41722f5e11e2022-03-26T09:49:26ZRESONANT SLOSHING IN SHALLOW-WATERJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:0f138c0e-6d27-462f-a6cd-d41722f5e11eEnglishSymplectic Elements at Oxford1986Ockendon, HOckendon, JJohnson, AThe ordinary differential equation which represents forced water waves on shallow water near resonance, is considered when the dispersion is small. Asymptotic methods are used to show that there are multiple solutions with period 2 pi for a given value of the detuning parameter. The effects of dissipation are also considered.
spellingShingle Ockendon, H
Ockendon, J
Johnson, A
RESONANT SLOSHING IN SHALLOW-WATER
title RESONANT SLOSHING IN SHALLOW-WATER
title_full RESONANT SLOSHING IN SHALLOW-WATER
title_fullStr RESONANT SLOSHING IN SHALLOW-WATER
title_full_unstemmed RESONANT SLOSHING IN SHALLOW-WATER
title_short RESONANT SLOSHING IN SHALLOW-WATER
title_sort resonant sloshing in shallow water
work_keys_str_mv AT ockendonh resonantsloshinginshallowwater
AT ockendonj resonantsloshinginshallowwater
AT johnsona resonantsloshinginshallowwater