Journal
SIAM JOURNAL ON APPLIED MATHEMATICS
Volume 60, Issue 3, Pages 990-1016Publisher
SIAM PUBLICATIONS
DOI: 10.1137/S0036139998337140
Keywords
fourth-order parabolic equations; large-time behavior; structural geology; geological folding
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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.
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