具有奇异势的Q-张量梯度流的尖锐界面极限  

Sharp Interface Limit of Q-Tensor Gradient Flows with Singular Potential

作　　者：王晨晨 

机构地区：[1]贵州大学数学与统计学院,贵州 贵阳

出　　处：《运筹与模糊学》2023年第2期884-891,共8页Operations Research and Fuzziology

摘　　要：本文考虑具有奇异势的Q-张量梯度流,利用匹配渐近展开方法,形式推导出各向同性–向列相尖锐界面极限。该模型包括液晶的指向矢场n的热流和界面上的跳跃条件,并且跳跃条件由平均曲率流决定。In this paper, we consider the Q-tensor gradient flow with singular potential and use the matching asymptotic expansion method to derive the isotropy-nematic sharp interface model formally. The model includes the heat flow of the directed vector field n of the liquid crystal and the jump condition on the interface, and the jump condition is determined by the mean curvature flow.

关 键 词：液晶 具有奇异势的Q-张量梯度流 相变问题 尖锐界面极限 

分 类 号：O17[理学—数学]