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Wikipedia definition
1. Material derivativeIn continuum mechanics, the material derivative describes the time rate of change of some physical quantity for a material element subjected to a space-and-time-dependent velocity field. The material derivative can serve as a link between Eulerian and Lagrangian descriptions of continuum deformation. For example, in fluid dynamics, take the case that the velocity field under consideration is the flow velocity itself, and the quantity of interest is the temperature of the fluid.
Read “Material derivative” on English Wikipedia
Read “物質微分” on Japanese Wikipedia
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