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UNIQUENESS AND COLLAPSE OF SOLUTION FOR A MATHEMATICAL MODEL WITH NONLOCAL TERMS ARISING IN GLACIOLOGY

Departamento de Matemática y Física Aplicadas y Ciencias de la Naturaleza, ESCET Universidad Rey Juan Carlos, 28933-Móstoles, Madrid, Spain

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and

J. IGNACIO TELLO

Departamento de Matemática Aplicada, Facultad de CC. Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain

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https://doi.org/10.1142/S0218202505000492Cited by:1 (Source: Crossref)

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).

Keywords:

AMSC: 22E46, 53C35, 57S20

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