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Seminar on Mathematics for various disciplines
Seminar information archive ～02/11｜Next seminar｜Future seminars 02/12～
| Date, time & place | Tuesday 10:30 - 11:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Yoshikazu Giga, Naoyuki Ishimura, Norikazu Saito, Masahiro Yamamoto, Hiroyoshi Mitake |
| URL | https://www.math.sci.hokudai.ac.jp/coe/sympo/various/index_en.html |
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)
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.
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.
