33 citations · 119 across the 43 of their papers we have counts for
4 papers · 1 filter
Growth rate of crystal surfaces with several dislocation centers
Takeshi Ohtsuka, Yen-Hsi Richard Tsai, Yoshikazu Giga
We study analytically and numerical the growth rate of a crystal surface growing by several screw dislocations. To describe several spiral steps we use the revised level set method…
Well-posedness of Hamilton-Jacobi equations with Caputo's time-fractional derivative
Yoshikazu Giga, Tokinaga Namba
A Hamilton-Jacobi equation with Caputo's time-fractional derivative of order less than one is considered. The notion of a viscosity solution is introduced to prove unique existence…
On a resolvent estimate for bidomain operators and its applications
Yoshikazu Giga, Naoto Kajiwara
We study bidomain equations that are commonly used as a model to represent the electrophysiological wave propagation in the heart. We prove existence, uniqueness and regularity of…
A level set crystalline mean curvature flow of surfaces
Yoshikazu Giga, Norbert Požár
We introduce a new notion of viscosity solutions for the level set formulation of the motion by crystalline mean curvature in three dimensions. The solutions satisfy the comparison…