Well-posedness of frame hydrodynamics for biaxial nematic liquid crystals
| Autor: | Li, Sirui, Wang, Chenchen, Xu, Jie |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We consider the hydrodynamics for the biaxial nematic phase characterized by a field of orthonormal frame, which can be derived from a molecular-theory-based tensor model. In dimension two and three, we establish the local well-posedness and the blow-up criterion for smooth solutions to the frame hydrodynamic model. Furthermore, we prove the global existence of weak solutions in $\mathbb{R}^2$ which are nonsmooth at finitely many singular times. Comment: 47 pages |
| Databáze: | arXiv |
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