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

نویسندگان

  • Ana Isabel Muñoz
  • J. Ignacio Tello
چکیده

In this paper we study a nonlinear system of differential equations which arises from a stationary 2-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).

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تاریخ انتشار 2004