5 citations · 5 across the 5 of their papers we have counts for
5 papers
Phase field equation in the singular limit of the Stefan problem
Jun-ichi Koga, Jiro Koga, Shunji Homma
The classical Stefan problem is reduced as the singular limit of phase-field equations. These equations are for temperature and the phase-field , consists of a heat equation…
The Hele-Shaw model for the phase field method and the vortex sheet approach
Jun-ichi Koga
Various thermodynamical phenomena have occurred with change of pressure and temperature, volume. We can choose these parameters but not these constraints, in order to need the ther…
On the classical solutions of the three dimensional Stefan problem
Jun-ichi Koga
We study the global existence in time and we obtained the classical one with Friedrich's mollifier like the elliptic operator in Holder space.
Numerical analysis with the phase field equations for the Stefan problems
Jun-ichi Koga
Phase field equations describe the novel approach to the Stefan problems. We calculate these equations numerically performed in two-dimensions. We take full advantage of the phase…
Checkerboard Problem to Topology Optimization of Continuum Structures
Jun-ichi Koga, Jiro Koga, Shunji Homma
The area of topology optimization of continuum structures of which is allowed to change in order to improve the performance is now dominated by methods that employ the material dis…