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Tatsuo Iguchi (Keio University)
Wednesday 09 August 2017, 09:00-10:00
Isobe-Kakinuma model for water waves as a higher order shallow water approximation
- đ¤ Speaker: Tatsuo Iguchi (Keio University)
- đ Date & Time: Wednesday 09 August 2017, 09:00 - 10:00
- đ Venue: Seminar Room 1, Newton Institute
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 $\delta2$, where $\delta$ 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 $\delta4$. 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 $\delta^6$.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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