Isobe-Kakinuma model for water waves as a higher order shallow water approximation
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874.64 MB,
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About this item
| Description: |
Iguchi, T
Wednesday 9th August 2017 - 09:00 to 10:00 |
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| Created: | 2017-08-10 13:14 |
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| Collection: | Nonlinear Water Waves |
| Publisher: | Isaac Newton Institute |
| Copyright: | Iguchi, T |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | We justify rigorously an Isobe-Kakinuma model for water waves as a higher order shallow water approximation in the case of a flat bottom. It is known that the full water wave equations are approximated by the shallow water equations with an error of order δ2δ2, where δδ is a small nondimensional parameter defined as the ratio of the typical wavelength to the mean depth. The Green-Naghdi equations are known as higher order approximate equations to the water wave equations with an error of order δ4δ4. In this paper we show that the Isobe-Kakinuma model is a much higher approximation to the water wave equations with an error of order δ6δ6. |
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