论文标题
部分可观测时空混沌系统的无模型预测
A free discontinuity model for smectic thin films
论文作者
论文摘要
我们试图通过制定自由不连续性问题来描述近晶膜中的表面缺陷 - 也就是说，在某些（未知）集上，允许允许顺序参数的阶数参数具有跳跃不连续性。自由能函数包含界面能量，该能量会在跳跃时惩罚近晶层的位错。我们讨论与最小化器的存在有关的数学问题，并在一些简化的设置中提供了最小化器的示例。
We attempt to describe surface defects in smectic A thin films by formulating a free discontinuity problem - that is, a variational problem in which the order parameter is allowed to have jump discontinuities on some (unknown) set. The free energy functional contains an interfacial energy which penalizes dislocations of the smectic layers at the jump. We discuss mathematical issues related to the existence of minimizers and provide examples of minimizers in some simplified settings.
