%0 Journal Article
%A Tello Del Castillo, José Ignacio
%A Muñoz, Ana Isabel
%T Uniqueness and collapse of solution for a mathematical model with nonlocal terms arising in glaciology
%D 2005
%@ 0218-2025
%U https://hdl.handle.net/20.500.14352/49576
%X 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).
%~