Mathematical Models in Dynamics of Non-Newtonian Fluids and in Glaciology
This 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 prov...
Main Authors: | , , |
---|---|
Format: | Book Part |
Language: | English |
Published: |
APMTAC/FEUP
2007
|
Subjects: | |
Online Access: | https://eprints.ucm.es/id/eprint/30284/ https://eprints.ucm.es/id/eprint/30284/1/170.pdf http://www.mat.ucm.es/momat/Oporto_07_Antontsev_Diaz_Oliveira.pdf |
id |
ftunivcmadrid:oai:www.ucm.es:30284 |
---|---|
record_format |
openpolar |
spelling |
ftunivcmadrid:oai:www.ucm.es:30284 2023-05-15T16:40:28+02:00 Mathematical Models in Dynamics of Non-Newtonian Fluids and in Glaciology Antontsev, S.N. Díaz Díaz, Jesús Ildefonso Oliveira, H.B de 2007 application/pdf https://eprints.ucm.es/id/eprint/30284/ https://eprints.ucm.es/id/eprint/30284/1/170.pdf http://www.mat.ucm.es/momat/Oporto_07_Antontsev_Diaz_Oliveira.pdf en eng APMTAC/FEUP https://eprints.ucm.es/id/eprint/30284/1/170.pdf info:eu-repo/semantics/restrictedAccess Física info:eu-repo/semantics/bookPart PeerReviewed 2007 ftunivcmadrid 2022-05-12T19:58:39Z This 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. Book Part Ice Sheet Universidad Complutense de Madrid (UCM): E-Prints Complutense |
institution |
Open Polar |
collection |
Universidad Complutense de Madrid (UCM): E-Prints Complutense |
op_collection_id |
ftunivcmadrid |
language |
English |
topic |
Física |
spellingShingle |
Física Antontsev, S.N. Díaz Díaz, Jesús Ildefonso Oliveira, H.B de Mathematical Models in Dynamics of Non-Newtonian Fluids and in Glaciology |
topic_facet |
Física |
description |
This 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. |
format |
Book Part |
author |
Antontsev, S.N. Díaz Díaz, Jesús Ildefonso Oliveira, H.B de |
author_facet |
Antontsev, S.N. Díaz Díaz, Jesús Ildefonso Oliveira, H.B de |
author_sort |
Antontsev, S.N. |
title |
Mathematical Models in Dynamics of Non-Newtonian Fluids and in Glaciology |
title_short |
Mathematical Models in Dynamics of Non-Newtonian Fluids and in Glaciology |
title_full |
Mathematical Models in Dynamics of Non-Newtonian Fluids and in Glaciology |
title_fullStr |
Mathematical Models in Dynamics of Non-Newtonian Fluids and in Glaciology |
title_full_unstemmed |
Mathematical Models in Dynamics of Non-Newtonian Fluids and in Glaciology |
title_sort |
mathematical models in dynamics of non-newtonian fluids and in glaciology |
publisher |
APMTAC/FEUP |
publishDate |
2007 |
url |
https://eprints.ucm.es/id/eprint/30284/ https://eprints.ucm.es/id/eprint/30284/1/170.pdf http://www.mat.ucm.es/momat/Oporto_07_Antontsev_Diaz_Oliveira.pdf |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_relation |
https://eprints.ucm.es/id/eprint/30284/1/170.pdf |
op_rights |
info:eu-repo/semantics/restrictedAccess |
_version_ |
1766030866015846400 |