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math.AP2018
Hyperbolic free boundary problems and applications to wave-structure interactions
Tatsuo Iguchi, David Lannes
Motivated by a new kind of initial boundary value problem (IBVP) with a free boundary arising in wave-structure interaction, we propose here a general approach to one-dimensional I…
math.AP2015★ 2 cited
A Mathematical Justification of a Thin Film Approximation for the Flow down an Inclined Plane
Hiroki Ueno, Tatsuo Iguchi
We consider a two-dimensional motion of a thin film flowing down an inclined plane under the influence of the gravity and the surface tension. In order to investigate the stability…
math.AP2012
Motion of a Vortex Filament with Axial Flow in the Half Space
Masashi Aiki, Tatsuo Iguchi
We consider a nonlinear third order dispersive equation which models the motion of a vortex filament immersed in an incompressible and inviscid fluid occupying the three dimensiona…