Well-posedness for 3D nematic liquid crystal flows with damping
Abstract The three-dimensional nematic liquid crystal flows with damping are considered in this paper. The existence and uniqueness of strong solutions for the 3D nematic liquid crystal flows with damping are proved for β ≥ 4 $\beta\geq4$ with any α > 0 $\alpha>0$ .
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SpringerOpen
2020-04-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13660-020-02379-9 |
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doaj-6ca60659a5b944099f38acbf5a0552192020-11-25T03:31:05ZengSpringerOpenJournal of Inequalities and Applications1029-242X2020-04-01202011610.1186/s13660-020-02379-9Well-posedness for 3D nematic liquid crystal flows with dampingHui Liu0Chengfeng Sun1Jie Xin2School of Mathematical Sciences, Qufu Normal UniversitySchool of Applied Mathematics, Nanjing University of Finance and EconomicsSchool of Mathematical Sciences, Qufu Normal UniversityAbstract The three-dimensional nematic liquid crystal flows with damping are considered in this paper. The existence and uniqueness of strong solutions for the 3D nematic liquid crystal flows with damping are proved for β ≥ 4 $\beta\geq4$ with any α > 0 $\alpha>0$ .http://link.springer.com/article/10.1186/s13660-020-02379-9Liquid crystal flowsWell-posednessStrong solution |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hui Liu Chengfeng Sun Jie Xin |
| spellingShingle |
Hui Liu Chengfeng Sun Jie Xin Well-posedness for 3D nematic liquid crystal flows with damping Journal of Inequalities and Applications Liquid crystal flows Well-posedness Strong solution |
| author_facet |
Hui Liu Chengfeng Sun Jie Xin |
| author_sort |
Hui Liu |
| title |
Well-posedness for 3D nematic liquid crystal flows with damping |
| title_short |
Well-posedness for 3D nematic liquid crystal flows with damping |
| title_full |
Well-posedness for 3D nematic liquid crystal flows with damping |
| title_fullStr |
Well-posedness for 3D nematic liquid crystal flows with damping |
| title_full_unstemmed |
Well-posedness for 3D nematic liquid crystal flows with damping |
| title_sort |
well-posedness for 3d nematic liquid crystal flows with damping |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1029-242X |
| publishDate |
2020-04-01 |
| description |
Abstract The three-dimensional nematic liquid crystal flows with damping are considered in this paper. The existence and uniqueness of strong solutions for the 3D nematic liquid crystal flows with damping are proved for β ≥ 4 $\beta\geq4$ with any α > 0 $\alpha>0$ . |
| topic |
Liquid crystal flows Well-posedness Strong solution |
| url |
http://link.springer.com/article/10.1186/s13660-020-02379-9 |
| work_keys_str_mv |
AT huiliu wellposednessfor3dnematicliquidcrystalflowswithdamping AT chengfengsun wellposednessfor3dnematicliquidcrystalflowswithdamping AT jiexin wellposednessfor3dnematicliquidcrystalflowswithdamping |
| _version_ |
1724573762165145600 |