1986
DOI: 10.1016/0165-2125(86)90029-6
|View full text |Cite
|
Sign up to set email alerts
|

On the stability of weakly-nonlinear gravity-capillary waves

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
2

Citation Types

3
9
0

Year Published

1987
1987
2022
2022

Publication Types

Select...
5

Relationship

1
4

Authors

Journals

citations
Cited by 8 publications
(12 citation statements)
references
References 12 publications
3
9
0
Order By: Relevance
“…Using condition (3.5), we have found the corresponding values to be K = 0.0411 and 0.036. These values are closer to the estimates of Zhang and Melville [21] than the estimates obtained from the fourth-order evolution equation of Hogan [8].…”
Section: Stability Analysissupporting
confidence: 69%
See 3 more Smart Citations
“…Using condition (3.5), we have found the corresponding values to be K = 0.0411 and 0.036. These values are closer to the estimates of Zhang and Melville [21] than the estimates obtained from the fourth-order evolution equation of Hogan [8].…”
Section: Stability Analysissupporting
confidence: 69%
“…This critical value increases with the increase in wave steepness. For m = 3, 7 and for a 0 = 0.05, Zhang and Melville's [21] full calculation found the values of the perturbation wave-number corresponding to the onset of stability of gravity-capillary waves to be K = 0.042 and 0.037, respectively. The corresponding values of K obtained by Hogan [8] are K = 0.040 and 0.034, respectively.…”
Section: Stability Analysismentioning
confidence: 99%
See 2 more Smart Citations
“…The numerical computations were extended to capillary waves by Chen & Saffman (1985) and Tiron & Choi (2012). Zhang & Melville (1986) investigated numerically the stability of gravitycapillary waves including, besides the four-wave resonant interaction, three-wave and five-wave resonant interactions. For a review on stability of irrotational gravity-capillary, one can refer to the review paper by Dias & Kharif (1999).…”
Section: Introductionmentioning
confidence: 99%