T Takaishi   M Yabuhara   K Nishikawa   
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 70(1) 138-143 2001年1月 [査読有り]
A general formula for the dispersion characteristics of electrostatic waves in dusty plasmas in the presence of charge fluctuation of dust particles is derived based on the linear response theory. The formula is applicable to arbitrary plasma mode...
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 68(9) 2962-2964 1999年9月 [査読有り]
Linear dispersion characteristics of ion acoustic waves in a dusty plasma is studied in the fluid model. It is shown that charge variation of dust particles has a destabilizing effect of the wave in the short wavelength region where the electron D...
H Kokubu   K Mischaikow   Y Nishiura   H Oka   T Takaishi   
JOURNAL OF DIFFERENTIAL EQUATIONS 140(2) 309-364 1997年11月 [査読有り]
The shadow system
u(t) = epsilon(2)u(xx) + f(u) - xi,
xi(t) = integral(t) g(u,xi) dx,
is a scalar reaction diffusion equation coupled with an ODE. The extra freedom coming from the ODE drastically influences the solution structure and dynamics as ...
Japan Journal of Industrial and Applied Mathematics 12(3) 385-424 1995年10月 [査読有り]
A simplified coupled reaction-diffusion system is derived from a diffusive membrane coupling of two reaction-diffusion systems of activator-inhibitor type. It is shown that the dynamics of the original decoupled systems persists for weak coupling,...
We investigate a physical characterization of the gradient flow structure of
variational fracture models for brittle materials: a Griffith-type fracture
model and an irreversible fracture phase field model. We derive the
Griffith-type fracture mod...
Two examples of extention of crack growth model with phase field approach are derived. A crack growth model for visco-elastic material is introduced from exctended free energy which add effect of Maxwell fluid. Another model with effect of H-embri...