Affordable Access

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

Authors
Publisher
World Scientific
Publication Date
Keywords
  • Geodesia
Disciplines
  • Mathematics

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).

There are no comments yet on this publication. Be the first to share your thoughts.