绝对时间导数
Absolute Time Derivatives
摘要：
非相对论性时空的四维处理为处理客观时间导数提供了一个自然的框架。在这个框架中，连续介质力学的一些著名的客观时间导数以李导数的形式出现。它们的配位形式取决于相关物理量的张量性质。我们从旋转观测者的角度计算了标量、矢量、余矢量和不同二阶张量的目标时间导数的具体形式。处理了实质时间导数、物质时间导数和客观时间导数之间的关系。
英文摘要：
A four dimensional treatment of nonrelativistic space-time gives a natural frame to deal with objective time derivatives. In this framework some well known objective time derivatives of continuum mechanics appear as Lie-derivatives. Their coordinatized forms depends on the tensorial properties of the relevant physical quantities. We calculate the particular forms of objective time derivatives for scalars, vectors, covectors and different second order tensors from the point of view of a rotating observer. The relation of substantial, material and objective time derivatives is treated.
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