Details
| Original language | English |
|---|---|
| Pages (from-to) | 287-299 |
| Number of pages | 13 |
| Journal | Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis |
| Volume | 14 |
| Issue number | 2 |
| Publication status | Published - Apr 2007 |
Abstract
It is shown that mirror symmetric steady states of the evolution of three plane interfaces which move under the area preserving curve shortening flow and which meet in one single junction point are exponentially stable with respect to sufficiently small C2+α-perturbations.
Keywords
- Contact angle, Curve shortening flow, Sectorial operator, Stable equilibria, Triple junction
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Discrete Mathematics and Combinatorics
- Mathematics(all)
- Applied Mathematics
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In: Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, Vol. 14, No. 2, 04.2007, p. 287-299.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Exponential stability of equilibria of the curve shortening flow with contact angle
AU - Escher, Joachim
AU - Feng, Zhaoyong
PY - 2007/4
Y1 - 2007/4
N2 - It is shown that mirror symmetric steady states of the evolution of three plane interfaces which move under the area preserving curve shortening flow and which meet in one single junction point are exponentially stable with respect to sufficiently small C2+α-perturbations.
AB - It is shown that mirror symmetric steady states of the evolution of three plane interfaces which move under the area preserving curve shortening flow and which meet in one single junction point are exponentially stable with respect to sufficiently small C2+α-perturbations.
KW - Contact angle
KW - Curve shortening flow
KW - Sectorial operator
KW - Stable equilibria
KW - Triple junction
UR - http://www.scopus.com/inward/record.url?scp=34247245741&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:34247245741
VL - 14
SP - 287
EP - 299
JO - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
JF - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
SN - 1201-3390
IS - 2
ER -