The equations for the three-dimensional incompressible flow of liquid crystals are considered in a smooth bounded domain. The existence and uniqueness of the global strong solution with small initial data are established. It is also proved that when the strong solution exists, all the global weak solutions constructed in [16] must be equal to the unique strong solution.
机构:
NYU, Courant Inst Math Sci, New York, NY 10012 USANYU, Courant Inst Math Sci, New York, NY 10012 USA
Hu, Xianpeng
Wu, Hao
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Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R ChinaNYU, Courant Inst Math Sci, New York, NY 10012 USA
机构:
Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USATsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
Li, Xiaoli
Wang, Dehua
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Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USATsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
机构:
North China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450011, Peoples R ChinaNorth China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450011, Peoples R China
Li, Hengyan
Yan, Weiping
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Xiamen Univ, Coll Math, Xiamen 361005, Peoples R China
Jilin Univ, Coll Math, Changchun 130012, Peoples R ChinaNorth China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450011, Peoples R China