1 citations · 1 across the 10 of their papers we have counts for
10 papers
Solutions to a One-Dimensional Combustion-Type Free Boundary Problem via Maximal Regularity
Ken Furukawa, Yoshikazu Giga, Naoto Kajiwara
We study a one-dimensional free boundary problem arising in combustion theory, where the motion of the interface is governed by a prescribed Neumann boundary flux and a zero Dirich…
On dynamic stability of energetically stable equilibria of the Navier-Stokes-Korteweg flows
Yoshikazu Giga, Naoto Kajiwara, Kazuyuki Tsuda
We consider the Navier-Stokes-Korteweg equations in a bounded domain or a periodic cell. The pressure considered in this paper may not be monotone with respect to the density so th…
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 convergence result for a minimizing movement scheme for mean curvature flow with prescribed contact angle in a curved domain
Tokuhiro Eto, Yoshikazu Giga
We consider a minimizing movement scheme of Chambolle type for the mean curvature flow equation with prescribed contact angle condition in a smooth bounded domain in …
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…
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…