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
Published in:Mathematical Models and Methods in Applied Sciences
Main Authors: Tello Del Castillo, José Ignacio, Muñoz, Ana Isabel
Format: Article in Journal/Newspaper
Language:English
Published: World Scientific 2005
Subjects:
528
Glaciology
PDE with nonlocal terms
Uniqueness of solutions
Maximal monotone graphs
Sub- and Super-solutions
Collapse of solutions
Geodesia
2504 Geodesia
Ice Sheet
Online Access:https://hdl.handle.net/20.500.14352/49576
https://doi.org/10.1142/S0218202505000492
Description
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). DGES Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub

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