# A Mathematical Justification of the Isobe–Kakinuma Model for Water Waves with and without Bottom Topography

@article{Iguchi2018AMJ, title={A Mathematical Justification of the Isobe–Kakinuma Model for Water Waves with and without Bottom Topography}, author={Tatsuo Iguchi}, journal={Journal of Mathematical Fluid Mechanics}, year={2018}, volume={20}, pages={1985-2018} }

We consider the Isobe–Kakinuma model for water waves in both cases of the flat and the variable bottoms. The Isobe–Kakinuma model is a system of Euler–Lagrange equations for an approximate Lagrangian which is derived from Luke’s Lagrangian for water waves by approximating the velocity potential in the Lagrangian appropriately. The Isobe–Kakinuma model consists of $$(N+1)$$(N+1) second order and a first order partial differential equations, where N is a nonnegative integer. We justify rigorously…

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