@inbook{e94552c4a4214f2997ed8e35492177cc,
title = "Eulerian and Lagrangian Descriptions",
abstract = "This chapter derives the relations between Eulerian and Lagrangian descriptions of displacement and velocity fields, relations between the time derivatives of system properties, variations, and introduces Jourdain{\^a}€{\texttrademark}s variational principle. Jourdain{\^a}€{\texttrademark}s principle{\^A} is then applied to viscous incompressible fluids, and the derivation of the energy rate equation. These equations will be utilized in the subsequent chapter for the derivation of the flow-oscillator{\^A} model for vortex-induced vibration.",
author = "Sohrob Mottaghi and Rene Gabbai and Haym Benaroya",
note = "Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.",
year = "2020",
doi = "https://doi.org/10.1007/978-3-030-26133-7_6",
language = "American English",
series = "Solid Mechanics and its Applications",
publisher = "Springer Verlag",
pages = "143--187",
booktitle = "Solid Mechanics and its Applications",
address = "Germany",
}