11 citations · 53 across the 16 of their papers we have counts for
25 papers
Approximation of a solution to the stationary Navier-Stokes equations in a curved thin domain by a solution to thin-film limit equations
Tatsu-Hiko Miura
We consider the stationary Navier-Stokes equations in a three-dimensional curved thin domain around a given closed surface under the slip boundary conditions. Our aim is to show th…
Migrating elastic flows
Tomoya Kemmochi, Tatsuya Miura
Huisken's problem asks whether there is an elastic flow of closed planar curves that is initially contained in the upper half-plane but `migrates' to the lower half-plane at a posi…
General rigidity principles for stable and minimal elastic curves
Tatsuya Miura, Kensuke Yoshizawa
For a wide class of curvature energy functionals defined for planar curves under the fixed-length constraint, we obtain optimal necessary conditions for global and local minimizers…
Pinned planar p-elasticae
Tatsuya Miura, Kensuke Yoshizawa
Building on our previous work, we classify all planar -elasticae under the pinned boundary condition, and then obtain uniqueness and geometric properties of global minimizers. A…
Error estimate for classical solutions to the heat equation in a moving thin domain and its limit equation
Tatsu-Hiko Miura
We consider the Neumann type problem of the heat equation in a moving thin domain around a given closed moving hypersurface. The main result of this paper is an error estimate in t…
Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part
Tatsu-Hiko Miura
We consider the vorticity form of the Navier-Stokes equations on the two-dimensional unit sphere and study the nonlinear stability of the two-jet Kolmogorov type flow which is a st…