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...

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Bibliographic Details
Main Authors: Tello del Castillo, José Ignacio, Muñoz, Ana Isabel
Format: Article in Journal/Newspaper
Language:English
Published: World Scientific 2005
Subjects:
Geodesia
Ice Sheet
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
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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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