12 citations · 12 across the 14 of their papers we have counts for
6 papers · 1 filter
Remarks on temperature-dependent Cahn--Hilliard equations
Mi-Ho Giga, Yoshikazu Giga, Naoto Kajiwara +1
We recall several derivations of temperature-dependent Cahn-Hilliard equations. The resulting equations are systems of mixed order. For a suitable subclass of equations we discuss…
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 existence of a collapsed bubble with surface tension in viscous incompressible fluid
Yoshikazu Giga, Zhongyang Gu
We consider the one-phase free boundary problem for the incompressible Navier-Stokes equations in (). The surface tension is taken into account. The initial d…
Segmentation of monotone data by Kobayashi-Warren-Carter type total variation energies
Yoshikazu Giga, Ayato Kubo, Hirotoshi Kuroda +1
We consider a Kobayashi-Warren-Carter (KWC) type total variation energy with a fidelity term. Since the energy is non-convex, the profiles of minimizers are quite different from th…
Asymptotically self-similar graph-like solutions to a multi-dimensional surface diffusion flow equation under contact angle and no-flux boundary conditions
Yoshikazu Giga, Sho Katayama
This paper studies Mullins' model of thermal grooving which consists of a surface diffusion flow equation with contact angle and no-flux boundary conditions. We consider this probl…