Isobe-Kakinuma model for water waves as a higher order shallow water approximation
60 mins,
265.65 MB,
WebM
640x360,
29.97 fps,
44100 Hz,
604.5 kbits/sec
Share this media item:
Embed this media item:
Embed this media item:
About this item
Description: |
Iguchi, T
Wednesday 9th August 2017 - 09:00 to 10:00 |
---|
Created: | 2017-08-10 13:14 |
---|---|
Collection: | Nonlinear Water Waves |
Publisher: | Isaac Newton Institute |
Copyright: | Iguchi, T |
Language: | eng (English) |
Distribution: | World (downloadable) |
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. |
---|
Available Formats
Format | Quality | Bitrate | Size | |||
---|---|---|---|---|---|---|
MPEG-4 Video | 640x360 | 1.94 Mbits/sec | 874.64 MB | View | Download | |
WebM * | 640x360 | 604.5 kbits/sec | 265.65 MB | View | Download | |
iPod Video | 480x270 | 523.48 kbits/sec | 230.05 MB | View | Download | |
MP3 | 44100 Hz | 250.71 kbits/sec | 110.18 MB | Listen | Download | |
Auto | (Allows browser to choose a format it supports) |