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Uniqueness and collapse of solution for a mathematical model with nonlocal terms arising in glaciology

Tello del Castillo, José Ignacio and Muñoz, Ana Isabel (2005) Uniqueness and collapse of solution for a mathematical model with nonlocal terms arising in glaciology. Mathematical Models and Methods in Applied Sciences, 15 (4). pp. 623-642. ISSN 0218-2025

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Abstract

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).


Item Type:Article
Uncontrolled Keywords:Glaciology; PDE with nonlocal terms; Uniqueness of solutions; Maximal monotone graphs; Sub- and Super-solutions; Collapse of solutions
Subjects:Sciences > Mathematics > Geodesy
ID Code:12270
Deposited On:21 Feb 2011 12:01
Last Modified:06 Feb 2014 09:20

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