2026-06-29T07:30:13Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/495762025-03-03T18:57:56Zcom_20.500.14352_14col_20.500.14352_15

Uniqueness and collapse of solution for a mathematical model with nonlocal terms arising in glaciology Tello Del Castillo, José Ignacio Muñoz, Ana Isabel 528 Glaciology PDE with nonlocal terms Uniqueness of solutions Maximal monotone graphs Sub- and Super-solutions Collapse of solutions Geodesia 2504 Geodesia 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). DGES Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T09:27:06Z 2023-06-20T09:27:06Z 2005 journal article https://hdl.handle.net/20.500.14352/49576 0218-2025 10.1142/S0218202505000492 eng REN 2003-09223-C03-03 PPR-2003-47 REN 2000/0766 HPRN-CT-2002-00274 open access application/pdf World Scientific