Details
| Original language | English |
|---|---|
| Pages (from-to) | 349-364 |
| Number of pages | 16 |
| Journal | Journal of Evolution Equations |
| Volume | 2 |
| Issue number | 3 |
| Publication status | Published - 2002 |
Abstract
We rigorously prove that the solution surface of the intermediate surface diffusion flow converges to that of the averaged mean curvature flow locally in time as the diffusion coefficient tends to infinity. As an application of this convergence result, we show that the intermediate surface diffusion flow can drive embedded hypersurfaces into self-intersections.
ASJC Scopus subject areas
- Mathematics(all)
- Mathematics (miscellaneous)
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Journal of Evolution Equations, Vol. 2, No. 3, 2002, p. 349-364.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On a limiting motion and self-intersections for the intermediate surface diffusion flow
AU - Escher, Joachim
AU - Giga, Yoshikazu
AU - Ito, Kazuo
N1 - Funding information: ?Partly supported by the Japan Society for the Promotion of Science, Grant No. 10304010, 12814024.
PY - 2002
Y1 - 2002
N2 - We rigorously prove that the solution surface of the intermediate surface diffusion flow converges to that of the averaged mean curvature flow locally in time as the diffusion coefficient tends to infinity. As an application of this convergence result, we show that the intermediate surface diffusion flow can drive embedded hypersurfaces into self-intersections.
AB - We rigorously prove that the solution surface of the intermediate surface diffusion flow converges to that of the averaged mean curvature flow locally in time as the diffusion coefficient tends to infinity. As an application of this convergence result, we show that the intermediate surface diffusion flow can drive embedded hypersurfaces into self-intersections.
UR - http://www.scopus.com/inward/record.url?scp=0347628354&partnerID=8YFLogxK
U2 - 10.1007/s00028-002-8092-z
DO - 10.1007/s00028-002-8092-z
M3 - Article
AN - SCOPUS:0347628354
VL - 2
SP - 349
EP - 364
JO - Journal of Evolution Equations
JF - Journal of Evolution Equations
SN - 1424-3199
IS - 3
ER -