The Unique Existence of Weak Solution and the Optimal Control for Time-Fractional Third Grade Fluid System
The paper concerns the third grade fluid system with the time-fractional derivative of the order α∈(0,1). We first establish unique existence criterion of weak solutions in the case that the dimension n=3. Then we prove the sufficient condition of optimal pairs.
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/7941012 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832550747065024512 |
|---|---|
| author | Guangming Shao Biao Liu Yueying Liu |
| author_facet | Guangming Shao Biao Liu Yueying Liu |
| author_sort | Guangming Shao |
| collection | DOAJ |
| description | The paper concerns the third grade fluid system with the time-fractional derivative of the order α∈(0,1). We first establish unique existence criterion of weak solutions in the case that the dimension n=3. Then we prove the sufficient condition of optimal pairs. |
| format | Article |
| id | doaj-art-1e914170b1a04c06904befad415fd451 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-1e914170b1a04c06904befad415fd4512025-02-03T06:05:56ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/79410127941012The Unique Existence of Weak Solution and the Optimal Control for Time-Fractional Third Grade Fluid SystemGuangming Shao0Biao Liu1Yueying Liu2Anhui University of Chinese Medicine, Hefei 230012, ChinaSchool of Mathematical Sciences, Anhui University, Hefei 230601, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaThe paper concerns the third grade fluid system with the time-fractional derivative of the order α∈(0,1). We first establish unique existence criterion of weak solutions in the case that the dimension n=3. Then we prove the sufficient condition of optimal pairs.http://dx.doi.org/10.1155/2018/7941012 |
| spellingShingle | Guangming Shao Biao Liu Yueying Liu The Unique Existence of Weak Solution and the Optimal Control for Time-Fractional Third Grade Fluid System Complexity |
| title | The Unique Existence of Weak Solution and the Optimal Control for Time-Fractional Third Grade Fluid System |
| title_full | The Unique Existence of Weak Solution and the Optimal Control for Time-Fractional Third Grade Fluid System |
| title_fullStr | The Unique Existence of Weak Solution and the Optimal Control for Time-Fractional Third Grade Fluid System |
| title_full_unstemmed | The Unique Existence of Weak Solution and the Optimal Control for Time-Fractional Third Grade Fluid System |
| title_short | The Unique Existence of Weak Solution and the Optimal Control for Time-Fractional Third Grade Fluid System |
| title_sort | unique existence of weak solution and the optimal control for time fractional third grade fluid system |
| url | http://dx.doi.org/10.1155/2018/7941012 |
| work_keys_str_mv | AT guangmingshao theuniqueexistenceofweaksolutionandtheoptimalcontrolfortimefractionalthirdgradefluidsystem AT biaoliu theuniqueexistenceofweaksolutionandtheoptimalcontrolfortimefractionalthirdgradefluidsystem AT yueyingliu theuniqueexistenceofweaksolutionandtheoptimalcontrolfortimefractionalthirdgradefluidsystem AT guangmingshao uniqueexistenceofweaksolutionandtheoptimalcontrolfortimefractionalthirdgradefluidsystem AT biaoliu uniqueexistenceofweaksolutionandtheoptimalcontrolfortimefractionalthirdgradefluidsystem AT yueyingliu uniqueexistenceofweaksolutionandtheoptimalcontrolfortimefractionalthirdgradefluidsystem |