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math.AP2025
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…
math.AP2025
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…
math.AP2025
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…