Approximate self-similarity in models of geological folding

被引：11

作者：

Budd, CJ

Peletier, MA

机构：

[1] Univ Bath, Dept Math, Bath BA2 7AY, Avon, England

[2] Univ Bath, Dept Mech Engn, Bath BA2 7AY, Avon, England

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2000年 / 60卷 / 03期

关键词：

fourth-order parabolic equations; large-time behavior; structural geology; geological folding;

D O I：

10.1137/S0036139998337140

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a model for the folding of rock under the compression of tectonic 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.

引用

页码：990 / 1016

页数：27

共 24 条

[1]

Barenblatt G, 1979, SIMILARITY SELF SIMI, DOI 10.1007/978-1-4615-8570-1

[2] FINAL TIME BLOWUP PROFILES FOR SEMILINEAR PARABOLIC EQUATIONS VIA CENTER MANIFOLD THEORY [J].