STABILITY OF STATIONARY INTERFACES WITH CONTACT-ANGLE IN A GENERALIZED MEAN-CURVATURE FLOW

Authors
EI SI SATO MH YANAGIDA E
Citation
Si. Ei et al., STABILITY OF STATIONARY INTERFACES WITH CONTACT-ANGLE IN A GENERALIZED MEAN-CURVATURE FLOW, American journal of mathematics, 118(3), 1996, pp. 653-687
Citations number
27
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
American journal of mathematics → ACNP
ISSN journal
00029327
Volume
118
Issue
3
Year of publication
1996
Pages
653 - 687
Database
ISI
SICI code
0002-9327(1996)118:3<653:SOSIWC>2.0.ZU;2-N
Abstract
The dynamics of a moving hypersurface in a domain D subset of R(N) is studied. It is assumed that the hypersurface moves depending on its cu rvature, normal vector and position with the boundary that intersects partial derivative D with a constant contact angle. A stability criter ion about a stationary hypersurface is established in the form of an e igenvalue problem, which includes geometrical information of partial d erivative D and the stationary hypersurface.