论文标题
双轴列晶体的框架流体动力学的适应性
Well-posedness of frame hydrodynamics for biaxial nematic liquid crystals
论文作者
论文摘要
我们考虑以正顺式框架场为特征的双轴列相的流体动力学，可以从基于分子理论的张量模型中得出。在第二和第三维度中，我们建立了局部良好的度和爆破标准，以使框架流体动力学模型平滑解决方案。此外，我们证明了在$ \ mathbb {r}^2 $中的全球弱解决方案存在，这些解决方案在有限的许多时代都不平整。
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.
