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Propagation of Water Waves over Uneven Bottom under the Effect of Surface Tension
Author
Source
International Journal of Differential Equations
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-30
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
We establish existence and uniqueness of solutions to the Cauchy problem associated with a new one-dimensional weakly-nonlinear, weakly-dispersive system which arises as an asymptotical approximation of the full potential theory equations for modelling propagation of small amplitude water waves on the surface of a shallow channel with variable depth, taking into account the effect of surface tension.
Furthermore, numerical schemes of spectral type are introduced for approximating the evolution in time of solutions of this system and its travelling wave solutions, in both the periodic and nonperiodic case.
American Psychological Association (APA)
Muñoz Grajales, Juan Carlos. 2015. Propagation of Water Waves over Uneven Bottom under the Effect of Surface Tension. International Journal of Differential Equations،Vol. 2015, no. 2015, pp.1-21.
https://search.emarefa.net/detail/BIM-1065522
Modern Language Association (MLA)
Muñoz Grajales, Juan Carlos. Propagation of Water Waves over Uneven Bottom under the Effect of Surface Tension. International Journal of Differential Equations No. 2015 (2015), pp.1-21.
https://search.emarefa.net/detail/BIM-1065522
American Medical Association (AMA)
Muñoz Grajales, Juan Carlos. Propagation of Water Waves over Uneven Bottom under the Effect of Surface Tension. International Journal of Differential Equations. 2015. Vol. 2015, no. 2015, pp.1-21.
https://search.emarefa.net/detail/BIM-1065522
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1065522