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
id ftunivcmadrid:oai:www.ucm.es:12270
record_format openpolar
spelling ftunivcmadrid:oai:www.ucm.es:12270 2023-05-15T16:40:32+02:00 Uniqueness and collapse of solution for a mathematical model with nonlocal terms arising in glaciology Tello del Castillo, José Ignacio Muñoz, Ana Isabel 2005 application/pdf 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 en eng World Scientific https://eprints.ucm.es/id/eprint/12270/1/2005uniqueness-2.pdf info:eu-repo/semantics/openAccess Geodesia info:eu-repo/semantics/article PeerReviewed 2005 ftunivcmadrid 2022-05-12T19:50:32Z 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). Article in Journal/Newspaper Ice Sheet Universidad Complutense de Madrid (UCM): E-Prints Complutense
institution Open Polar
collection Universidad Complutense de Madrid (UCM): E-Prints Complutense
op_collection_id ftunivcmadrid
language English
topic Geodesia
spellingShingle Geodesia
Tello del Castillo, José Ignacio
Muñoz, Ana Isabel
Uniqueness and collapse of solution for a mathematical model with nonlocal terms arising in glaciology
topic_facet Geodesia
description 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).
format Article in Journal/Newspaper
author Tello del Castillo, José Ignacio
Muñoz, Ana Isabel
author_facet Tello del Castillo, José Ignacio
Muñoz, Ana Isabel
author_sort Tello del Castillo, José Ignacio
title Uniqueness and collapse of solution for a mathematical model with nonlocal terms arising in glaciology
title_short Uniqueness and collapse of solution for a mathematical model with nonlocal terms arising in glaciology
title_full Uniqueness and collapse of solution for a mathematical model with nonlocal terms arising in glaciology
title_fullStr Uniqueness and collapse of solution for a mathematical model with nonlocal terms arising in glaciology
title_full_unstemmed Uniqueness and collapse of solution for a mathematical model with nonlocal terms arising in glaciology
title_sort uniqueness and collapse of solution for a mathematical model with nonlocal terms arising in glaciology
publisher World Scientific
publishDate 2005
url 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
genre Ice Sheet
genre_facet Ice Sheet
op_relation https://eprints.ucm.es/id/eprint/12270/1/2005uniqueness-2.pdf
op_rights info:eu-repo/semantics/openAccess
_version_ 1766030933412020224

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