运动表面上的观测者不变时间导数
Observer-invariant time derivatives on moving surfaces
摘要：
观测者不变性被认为是适当定义的最低要求，并从时空设置中系统地导出，其中观测者不变性是协方差原理的特殊情况，并由Ricci演算覆盖。分析被认为是切向n-张量场移动表面上，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）和对称和无迹张量场（n = 2），我们比较了物质和对流导数，并证明了不同的基础物理。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
