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SUMMARY:Isobe-Kakinuma model for water waves as a higher order shallow wat
 er approximation - Tatsuo Iguchi (Keio University)
DTSTART:20170809T080000Z
DTEND:20170809T090000Z
UID:TALK75111@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION: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 s
 hallow water equations with an error of order $\\delta^2$\, 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 high
 er order approximate equations to the water wave equations with an error o
 f order $\\delta^4$. In this paper we show that the Isobe-Kakinuma model i
 s a much higher approximation to the water wave equations with an error of
  order $\\delta^6$.
LOCATION:Seminar Room 1\, Newton Institute
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