Seminar on Mathematics for various disciplines

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Date, time & place Tuesday 10:30 - 11:30 056Room #056 (Graduate School of Math. Sci. Bldg.)

2010/10/20

10:30-11:30   Room #056 (Graduate School of Math. Sci. Bldg.)
Naohisa Ogawa (Hokkaido Institute of Technology)
Curvature Dependent Diffusion Flow on Surface with Thickness (JAPANESE)
[ Abstract ]
Particle diffusion in a two dimensional curved surface with thickness

embedded in $R_3$ is considered.

In addition to the usual diffusion flow, we find a new flow with an explicit

curvature dependence in $\\epsilon$ (thickness of surface) expansion.

As an example, the surface of elliptic cylinder is considered, and curvature

dependent diffusion coefficient is calculated. In addition, we consider the

1 dimensional object in $R_3$ (Tube),

and check the physical meaning of curvature effect.