Details
| Original language | English |
|---|---|
| Pages (from-to) | 3717-3728 |
| Number of pages | 12 |
| Journal | Nonlinear Analysis, Theory, Methods and Applications |
| Volume | 47 |
| Issue number | 6 |
| Publication status | Published - 7 Aug 2001 |
Abstract
Self-intersections and limiting motion of curves moved by the intermediate surface diffusion flow were discussed. A rigorous proof of convergence of the solution curve of the intermediate surface diffusion flow equation to that of the averaged curvature flow equation was given. It was also proved that a self-intersection of curves could be developed by the intermediate surface diffusion flow for any positive value of diffusion coefficient.
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Applied Mathematics
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In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 47, No. 6, 07.08.2001, p. 3717-3728.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On a limiting motion and self-intersections of curves moved by the intermediate surface diffusion flow
AU - Escher, J.
AU - Giga, Yoshikazu
AU - Ito, Kazuo
PY - 2001/8/7
Y1 - 2001/8/7
N2 - Self-intersections and limiting motion of curves moved by the intermediate surface diffusion flow were discussed. A rigorous proof of convergence of the solution curve of the intermediate surface diffusion flow equation to that of the averaged curvature flow equation was given. It was also proved that a self-intersection of curves could be developed by the intermediate surface diffusion flow for any positive value of diffusion coefficient.
AB - Self-intersections and limiting motion of curves moved by the intermediate surface diffusion flow were discussed. A rigorous proof of convergence of the solution curve of the intermediate surface diffusion flow equation to that of the averaged curvature flow equation was given. It was also proved that a self-intersection of curves could be developed by the intermediate surface diffusion flow for any positive value of diffusion coefficient.
UR - http://www.scopus.com/inward/record.url?scp=0035424498&partnerID=8YFLogxK
U2 - 10.1016/S0362-546X(01)00491-6
DO - 10.1016/S0362-546X(01)00491-6
M3 - Article
AN - SCOPUS:0035424498
VL - 47
SP - 3717
EP - 3728
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
SN - 0362-546X
IS - 6
ER -