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Seminar on Mathematics for various disciplines

Seminar information archive ~05/24Next seminarFuture seminars 05/25~

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)
[ Abstract ]
Particle diffusion in a two dimensional curved surface with thickness

embedded in R3 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 R3 (Tube),

and check the physical meaning of curvature effect.