Local Strong Solution for a Class of Shear Thickening Fluids with Non-Newtonian Potential and Heat-Conducting
The aim of this paper is to discuss the model for a class of shear thickening fluids with non-Newtonian potential and heat-conducting. Existence and uniqueness of local strong solutions for the model are proved. In this paper, there exist two difficulties we have to overcome. One is the strong nonli...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/541027 |
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| _version_ | 1832560215611932672 |
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| author | Yunliang Zhang Zhidong Guo |
| author_facet | Yunliang Zhang Zhidong Guo |
| author_sort | Yunliang Zhang |
| collection | DOAJ |
| description | The aim of this paper is to discuss the model for a class of shear thickening fluids with non-Newtonian potential and heat-conducting. Existence and uniqueness of local strong solutions for the model are proved. In this paper, there exist two difficulties we have to overcome. One is the strong nonlinearity of the system. The other is that the state function is not fixed. |
| format | Article |
| id | doaj-art-e1e296a83b56401f87bb4f10faa7f975 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-e1e296a83b56401f87bb4f10faa7f9752025-02-03T01:28:14ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/541027541027Local Strong Solution for a Class of Shear Thickening Fluids with Non-Newtonian Potential and Heat-ConductingYunliang Zhang0Zhidong Guo1Institute of Mathematics, Jilin University, Changchun, Jilin 130012, ChinaDepartment of Mathematics, Anqing Normal College, Anqing 246133, ChinaThe aim of this paper is to discuss the model for a class of shear thickening fluids with non-Newtonian potential and heat-conducting. Existence and uniqueness of local strong solutions for the model are proved. In this paper, there exist two difficulties we have to overcome. One is the strong nonlinearity of the system. The other is that the state function is not fixed.http://dx.doi.org/10.1155/2015/541027 |
| spellingShingle | Yunliang Zhang Zhidong Guo Local Strong Solution for a Class of Shear Thickening Fluids with Non-Newtonian Potential and Heat-Conducting Advances in Mathematical Physics |
| title | Local Strong Solution for a Class of Shear Thickening Fluids with Non-Newtonian Potential and Heat-Conducting |
| title_full | Local Strong Solution for a Class of Shear Thickening Fluids with Non-Newtonian Potential and Heat-Conducting |
| title_fullStr | Local Strong Solution for a Class of Shear Thickening Fluids with Non-Newtonian Potential and Heat-Conducting |
| title_full_unstemmed | Local Strong Solution for a Class of Shear Thickening Fluids with Non-Newtonian Potential and Heat-Conducting |
| title_short | Local Strong Solution for a Class of Shear Thickening Fluids with Non-Newtonian Potential and Heat-Conducting |
| title_sort | local strong solution for a class of shear thickening fluids with non newtonian potential and heat conducting |
| url | http://dx.doi.org/10.1155/2015/541027 |
| work_keys_str_mv | AT yunliangzhang localstrongsolutionforaclassofshearthickeningfluidswithnonnewtonianpotentialandheatconducting AT zhidongguo localstrongsolutionforaclassofshearthickeningfluidswithnonnewtonianpotentialandheatconducting |