Antontsev, S.N.Díaz Díaz, Jesús IldefonsoOliveira, H.B de2023-06-202023-06-202007978-972-8953-16-4https://hdl.handle.net/20.500.14352/53424CMNE CLAMCE 2007 Congresso Internacional em Métodos Numéricos em Engenharia, Porto, 13-15 junho 2007This paper deals with the study of some qualitative properties of solutions of mathematical models in non-Newtonian isothermal fluid flows and in theoretical glaciology. In the first type of models, we consider the extinction in a finite time of the solutions by using a global energy method. We prove that this property holds for pseudo-plastic fluids or for the general class of Newtonian and dilatant fluids, assumed the presence of a dissipation term (which may have an anisotropic nature and can vanish in, at most, one spatial direction). In the case of the ice sheet model in Glaciology (with a formulation involving a quasi-linear degenerate equation similar to the ones arising in non-Newtonian flows), we analyze the behavior of the free boundary (given by the support of the height h of the ice sheet) for different cases and according to the values of the ablation function and the initial hight. We use here some other energy methods of a local nature and so completely different to the method used in the first part of the paper.engbook parthttp://www.mat.ucm.es/momat/Oporto_07_Antontsev_Diaz_Oliveira.pdfrestricted access53Non-Newtonian fluidsglaciologyextinction in a finite timefinite speed of propagationwaiting time.Física (Física)22 Física