14 citations · 51 across the 12 of their papers we have counts for
Showing 2017 · math.APShow all
3 papers · 2 filters
math.AP2017★ 10 cited
Solvability of the initial value problem to the Isobe-Kakinuma model for water waves
Ryo Nemoto, Tatsuo Iguchi
We consider the initial value problem to the Isobe-Kakinuma model for water waves and the structure of the model. The Isobe-Kakinuma model is the Euler-Lagrange equations for an ap…
math.AP2017★ 14 cited
Isobe-Kakinuma model for water waves as a higher order shallow water approximation
Tatsuo Iguchi
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 equat…
math.AP2017
Motion of a Vortex Filament in an External Flow
Masashi Aiki, Tatsuo Iguchi
We consider a nonlinear model equation describing the motion of a vortex filament immersed in an incompressible and inviscid fluid. In the present problem setting, we also take int…