33 citations · 119 across the 43 of their papers we have counts for
6 papers · 2 filters
The three limits of the hydrostatic approximation
Ken Furukawa, Yoshikazu Giga, Matthias Hieber +3
The primitive equations are derived from the -Navier-Stokes equations by the hydrostatic approximation. Formally, assuming an -thin domain and anisotropic viscosit…
On a diffusion equation with rupture
Yoshikazu Giga, Yuki Ueda
We propose a model to describe an evolution of a bubble cluster with rupture. In a special case, the equation is reduced to a single parabolic equation with evaporation for the thi…
The Helmholtz decomposition of a type vector field in general unbounded domains
Yoshikazu Giga, Zhongyang Gu
We consider a space of vector fields with bounded mean oscillation whose ``normal'' component to the boundary is well-controlled. In the case when the dimension , w…
Fractional time differential equations as a singular limit of the Kobayashi-Warren-Carter system
Yoshikazu Giga, Ayato Kubo, Hirotoshi Kuroda +3
This paper is concerned with a singular limit of the Kobayashi-Warren-Carter system, a phase field system modelling the evolutions of structures of grains. Under a suitable scaling…
A level-set method for a mean curvature flow with a prescribed boundary
Xingzhi Bian, Yoshikazu Giga, Hiroyoshi Mitake
We propose a level-set method for a mean curvature flow whose boundary is prescribed by interpreting the boundary as an obstacle. Since the corresponding obstacle problem is global…
The Helmholtz decomposition of a type vector field in a slightly perturbed half space
Yoshikazu Giga, Zhongyang Gu
We introduce a space of vector fields with bounded mean oscillation whose normal component to the boundary is well-controlled. We establish its Helmholtz decomposition in the…