论文标题
观察者不变的时间衍生物在移动表面上
Observer-invariant time derivatives on moving surfaces
论文作者
论文摘要
观察者的不变性被视为对适当定义的最低要求，并从时空设置中系统地得出，在这种情况下，观察者 - 不变性是协方差原理的一种特殊情况，并由Ricci-Calculus涵盖。该分析是针对移动表面上的切向N量字段的分析，并提供适用于计算的配方。对于各种特殊情况，例如，矢量场（n = 1）以及对称和无跟踪的张量场（n = 2），我们比较材料和对流衍生物，并演示不同的基础物理学。
Observer-invariance is regarded as a minimum requirement for an appropriate definition and derived systematically from a spacetime setting, where observer-invariance is a special case of a covariance principle and covered by Ricci-calculus. The analysis is considered for tangential n-tensor fields on moving surfaces and provides formulations which are applicable for computations. For various special cases, e.g., vector fields (n = 1) and symmetric and trace-less tensor fields (n = 2) we compare material and convected derivatives and demonstrate the different underlying physics.
