12 citations · 12 across the 14 of their papers we have counts for
5 papers · 1 filter
Large time behavior of exponential surface diffusion flows on
Yoshikazu Giga, Michael Gösswein, Sho Katayama
We consider a surface diffusion flow of the form with a strictly increasing smooth function typically, , for a curve with arc-length parameter $…
No formulation of a new phase for a free boundary problem in combustion theory
Ken Furukawa, Yoshikazu Giga, Naoto Kajiwara
We consider a free boundary problem for the heat equation with a given non-negative external heat source. On the free boundary, we impose the zero Dirichlet condition and the fixed…
On segmentation by total variation type energies of Kobayashi-Warren-Carter type with fidelity
Yoshikazu Giga, Ayato Kubo, Hirotoshi Kuroda +2
We consider a total variation type energy which measures the jump discontinuities different from usual total variation energy. Such a type of energy is obtained as a singular limit…
On a dryout point for a stationary incompressible thermal fluid with phase transition in a pipe
Yoshikazu Giga, Zhongyang Gu
A dryout point is recognized as the position where the phase transition from liquid to vapor occurs. In the one-dimensional case, by solving the stationary incompressible Navier-St…
A few topics on total variation flows
Yoshikazu Giga, Hirotoshi Kuroda, Michał Łasica
Total variation gradient flows are important in several applied fields, including image analysis and materials science. In this paper, we review a few basic topics including defini…