5 papers
Thin-film limit of the parabolic -Laplace equation in a moving thin domain
Tatsu-Hiko Miura
We consider the parabolic -Laplace equation with in a moving thin domain under a Neumann type boundary condition corresponding to the total mass conservation. When the mov…
Difference estimate for weak solutions to the Navier-Stokes equations in a thin spherical shell and on the unit sphere
Tatsu-Hiko Miura
We consider the Navier-Stokes equations in a three-dimensional thin spherical shell and on the two-dimensional unit sphere, and estimate the difference of weak solutions on the thi…
Weak solutions to the parabolic -Laplace equation in a moving domain under a Neumann type boundary condition
Tatsu-Hiko Miura
This paper studies the parabolic -Laplace equation with in a moving domain under a Neumann type boundary condition corresponding to the total mass conservation. We establi…
Thin-film limit of the Cahn-Hilliard equation in a curved thin domain
Tatsu-Hiko Miura
We consider the Cahn-Hilliard equation with Neumann boundary conditions in a three-dimensional curved thin domain around a given closed surface. When the thickness of the curved th…
Thin-film limit of the Ginzburg-Landau heat flow in a curved thin domain
Tatsu-Hiko Miura
We consider the Ginzburg-Landau heat flow without magnetic effect in a curved thin domain under the Naumann boundary condition. When the curved thin domain shrinks to a given close…