Authors
Citation
F. Otto, Lubrication approximation with prescribed nonzero contact angle, COMM PART D, 23(11-12), 1998, pp. 2077-2164
Citations number
24
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
ISSN journal
03605302
→ ACNP
Volume
23
Issue
11-12
Year of publication
1998
Pages
2077 - 2164
Database
ISI
SICI code
0360-5302(1998)23:11-12<2077:LAWPNC>2.0.ZU;2-1
Abstract
We prove long-time existence for a weak solution s(t, x) greater than or eq
ual to 0 of the lubrication approximation
partial derivative(t)s + partial derivative(x)(s partial derivative(x)(3)s)
= 0 in {s > 0}
with prescribed contact angle of, say, pi/4
(partial derivative(x)s)(2) = 1 on partial derivative{s>0}.