Approximate self-similarity in models of geological folding

Authors
Budd, CJ Peletier, MA
Citation
Cj. Budd et Ma. Peletier, Approximate self-similarity in models of geological folding, SIAM J A MA, 60(3), 2000, pp. 990-1016
Citations number
23
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON APPLIED MATHEMATICS
ISSN journal
00361399 → ACNP
Volume
60
Issue
3
Year of publication
2000
Pages
990 - 1016
Database
ISI
SICI code
0036-1399(20000321)60:3<990:ASIMOG>2.0.ZU;2-C
Abstract
We propose a model for the folding of rock under the compression of tectoni c plates. This models anelastic rock layer imbedded ina viscous foundation by a fourth-order parabolic equation with a nonlinear constraint. The large -time behavior of solutions of this problem is examined and found to be of approximately self-similar form.