Exact(14)
Such a diffusion of power may be termed noncentralization.
It was shown that the lack of such a diffusion barrier would strongly affect the quality of the CNT vertical growth[8].
We show that such a diffusion process leads to the formation of crack-like grain-boundary wedges which cause the normal traction along the grain boundary to decay exponentially with time.
The surface chemical potential variation required for such a diffusion process is induced by the changes in the surface energy and the elastic strain energy in the system during rumpling.
Intuitively, our result may be stated as follows: We can construct a Feller semigroup corresponding to such a diffusion phenomenon that one of the reflection and viscosity phenomena occurs at each point of the boundary.
Such a diffusion mechanism also arises from physics processes with long range effect and other disciplines [13], and the dynamics of evolutionary systems with dispersal effect has been widely studied in recent years; we refer to [13, 21 32] and the references cited therein.
Similar(45)
The solution for such a diffusion-convection equation has not been obtained.
They cannot yet address the clinically relevant question whether a local ignition stays confined or breaks away but such microscopic models help to understand the pathophysiological mechanism of SD and if they will be extended by a spatial coupling, such as a diffusion term, also those models become accessible to the bifurcation analysis described in the following.
The partially molten Zn particulate at the base of the tapered whisker would adopt such a rapid diffusion path.
In such a scenario diffusion of hydrocarbonaceous surface species is an essential step in the overall reaction sequence.
Such a mass diffusion limitation results in an uneven growth rate within the soluble substrate feeding biofilm and leads to a heterogeneous biofilm morphology.
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