Abstract
It is known that the Green–Naghdi equations are higher order approximations for the water wave problem in a shallow water regime. We derive corresponding equations in the case of moving bottom as a mode of tsunamis caused by the slow deformation of the bottom, and give a mathematically rigorous justification of the model.
Information
Published: 1 January 2015
First available in Project Euclid: 30 October 2018
zbMATH: 1335.35194
MathSciNet: MR3381193
Digital Object Identifier: 10.2969/aspm/06410077
Subjects:
Primary:
35Q35
,
76B15
Keywords:
Green–Naghdi equations
,
tsunami
,
Water wave
Rights: Copyright © 2015 Mathematical Society of Japan