Mathematical models in dynamics of non-Newtonian fluids and in glaciology
time. Abstract. 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...
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ftciteseerx:oai:CiteSeerX.psu:10.1.1.587.1645 2023-05-15T16:40:31+02:00 Mathematical models in dynamics of non-Newtonian fluids and in glaciology S. N. Antontsev J. I. Díaz H. B De Oliveira Centro De Matemática The Pennsylvania State University CiteSeerX Archives 2007 application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.587.1645 http://www.mat.ucm.es/momat/Oporto_07_Antontsev_Diaz_Oliveira.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.587.1645 http://www.mat.ucm.es/momat/Oporto_07_Antontsev_Diaz_Oliveira.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://www.mat.ucm.es/momat/Oporto_07_Antontsev_Diaz_Oliveira.pdf non-Newtonian fluids glaciology extinction in a finite time finite speed of propagation waiting text 2007 ftciteseerx 2016-01-08T13:18:30Z time. Abstract. 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. 1 Text Ice Sheet Unknown |
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non-Newtonian fluids glaciology extinction in a finite time finite speed of propagation waiting |
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non-Newtonian fluids glaciology extinction in a finite time finite speed of propagation waiting S. N. Antontsev J. I. Díaz H. B De Oliveira Centro De Matemática Mathematical models in dynamics of non-Newtonian fluids and in glaciology |
topic_facet |
non-Newtonian fluids glaciology extinction in a finite time finite speed of propagation waiting |
description |
time. Abstract. 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. 1 |
author2 |
The Pennsylvania State University CiteSeerX Archives |
format |
Text |
author |
S. N. Antontsev J. I. Díaz H. B De Oliveira Centro De Matemática |
author_facet |
S. N. Antontsev J. I. Díaz H. B De Oliveira Centro De Matemática |
author_sort |
S. N. Antontsev |
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 |
publishDate |
2007 |
url |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.587.1645 http://www.mat.ucm.es/momat/Oporto_07_Antontsev_Diaz_Oliveira.pdf |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
http://www.mat.ucm.es/momat/Oporto_07_Antontsev_Diaz_Oliveira.pdf |
op_relation |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.587.1645 http://www.mat.ucm.es/momat/Oporto_07_Antontsev_Diaz_Oliveira.pdf |
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Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
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1766030919885389824 |