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

Tello Del Castillo, José IgnacioMuñoz, Ana Isabel2023-06-202023-06-2020050218-202510.1142/S0218202505000492https://hdl.handle.net/20.500.14352/49576In 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).engUniqueness and collapse of solution for a mathematical model with nonlocal terms arising in glaciologyjournal articlehttp://www.worldscinet.com/m3as/mkt/archive.shtmlopen access528GlaciologyPDE with nonlocal termsUniqueness of solutionsMaximal monotone graphsSub- and Super-solutionsCollapse of solutionsGeodesia2504 Geodesia