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Volume 31 (2024)
Volume 31, Issue 1
Pg 1 - 61 (June 2024)
Volume 30 (2023)
Volume 30, Issue 2
Pg 107 - 185 (December 2023)
Volume 30, Issue 1
Pg 1 - 105 (June 2023)
Volume 29 (2022)
Volume 29,
Pg 1 - 58 (December 2022)
Volume 28 (2022)
Volume 28,
Pg 1 - 58 (June 2022)
Volume 27 (2021)
Volume 27, Issue 2
Pg 67 - 90 (December 2021)
Volume 27, Issue 1
Pg 1 - 65 (September 2021)
Volume 26 (2021)
Volume 26, Issue 2
Pg 85 - 140 (June 2021)
Volume 26, Issue 1
Pg 1 - 84 (March 2021)
Volume 25 (2020)
Volume 25, Issue 2
Pg 67 - 140 (October 2020)
Volume 25, Issue 1
Pg 1 - 66 (July 2020)
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Volume 24, Issue 1-2
Pg 1 - 55 (April 2020)
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Pg 119 - 214 (October 2019)
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Pg 1 - 118 (July 2019)
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Pg 101 - 204 (April 2019)
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Pg 1 - 100 (January 2019)
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Volume 21, Issue 4
Pg 389 - 587 (October 2018)
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Pg 279 - 388 (July 2018)
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Pg 127 - 278 (April 2018)
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Pg 1 - 125 (January 2018)
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Pg 335 - 456 (July 2017)
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Pg 1 - 209 (January 2017)
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Volume 19, Issue 4
Pg 725 - 937 (October 2016)
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Pg 489 - 723 (July 2016)
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Pg 1 - 201 (January 2016)
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Pg 1 - 162 (July 2015)
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Pg 135 - 283 (April 2015)
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Pg 1 - 134 (January 2015)
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Pg 1 - 98 (July 2014)
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Pg 1 - 76 (January 2011)
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Pg 103 - 195 (October 2009)
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Pg 107 - 218 (April 2009)
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Pg 1 - 106 (January 2009)
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Pg 117 - 228 (October 2008)
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Pg 1 - 115 (July 2008)
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Volume 3, Issue 2
Pg 105 - 237 (April 2008)
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Pg 1 - 103 (January 2008)
Volume 2 (2007)
Volume 2, Issue 2
Pg 117 - 238 (October 2007)
Volume 2, Issue 1
Pg 1 - 115 (July 2007)
Volume 1 (2007)
Volume 1, Issue 2
Pg 101 - 205 (April 2007)
Volume 1, Issue 1
Pg 1 - 100 (January 2007)
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Advances and Applications in Fluid Mechanics
Advances and Applications in Fluid Mechanics
Volume 5, Issue 1, Pages 27 - 40 (January 2009)
THE EFFECT OF HIGHER HARMONICS ON THE BENJAMIN-FEIR INSTABILITY
David L. Ross (USA)
Abstract:
Interactions of higher harmonics that lead to resonance are explored for a fully nonlinear representation of the Stokes wave on deep water. Laplace’s equation is used to model the inviscid fluid, with nonlinearities captured in the boundary conditions. A disturbance is introduced, represented by a pair of sideband modes, and a perturbation analysis conducted. The interaction between higher harmonics of the primary wave and the sidebands is specified and the contribution of this interaction to unbounded growth is characterized.
Keywords and phrases:
higher harmonics, Benjamin-Feir instability, Stokes wave, inviscid fluid.
Communicated by K. K. Azad
Number of Downloads:
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P-ISSN: 0973-4686
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