论文标题
与外部磁场的列液晶胶体中的线和表面能的收敛
Convergence to line and surface energies in nematic liquid crystal colloids with external magnetic field
论文作者
论文摘要
我们使用Landau-De Gennes能量来描述具有恒定施加磁场的浸入列液液晶体中的粒子。我们在存在线路和点缺陷的制度中得出一个极限能量，定量表明，接近最小的能量渐近地集中在附近或粒子附近的线和表面上。我们还讨论了最小化器的规律性和极限能量的最佳条件。
We use the Landau-de Gennes energy to describe a particle immersed into nematic liquid crystals with a constant applied magnetic field. We derive a limit energy in a regime where both line and point defects are present, showing quantitatively that the close-to-minimal energy is asymptotically concentrated on lines and surfaces nearby or on the particle. We also discuss regularity of minimizers and optimality conditions for the limit energy.
