3 papers
math.AP2025
Well-posedness of the initial boundary value problem for the motion of an inextensible hanging string
Tatsuo Iguchi, Masahiro Takayama
We consider the motion of an inextensible hanging string of finite length under the action of the gravity. The motion is governed by nonlinear and nonlocal hyperbolic equations, wh…
math.AP2025
The moving contact line problem for the nonlinear shallow water equations
Tatsuo Iguchi, David Lannes
We consider the initial value problem for a nonlinear shallow water model in horizontal dimension d = 2 and in the presence of a fixed partially immersed solid body on the water su…
math.AP2010
Motion of a Vortex Filament in the Half Space
Masashi Aiki, Tatsuo Iguchi
A model equation for the motion of a vortex filament immersed in three dimensional, incompressible and inviscid fluid is investigated as a humble attempt to model the motion of a t…