Uniqueness and collapse of solution for a mathematical model with nonlocal terms arising in glaciology
In this paper we study a nonlinear system of differential equations which arises from a stationary two-dimensional Ice-Sheet Model describing the ice-streaming phenomenon. The system consists of a multivalued nonlinear PDE of parabolic type coupled with a first-order PDE and an ODE involving a nonlo...
Main Authors: | , |
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Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
World Scientific
2005
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Subjects: | |
Online Access: | https://eprints.ucm.es/id/eprint/12270/ https://eprints.ucm.es/id/eprint/12270/1/2005uniqueness-2.pdf http://www.worldscinet.com/m3as/mkt/archive.shtml |
Summary: | In this paper we study a nonlinear system of differential equations which arises from a stationary two-dimensional Ice-Sheet Model describing the ice-streaming phenomenon. The system consists of a multivalued nonlinear PDE of parabolic type coupled with a first-order PDE and an ODE involving a nonlocal term. We study the uniqueness of weak solution under suitable assumptions (physically reasonable). We also establish that the ice thickness collapses at a finite distance (by employing a comparison principle). |
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