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From Euler to Navier-Stokes : A Spatial Analysis of Conceptual Changes in Nineteenth-century Fluid Dynamics

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2014

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Petersen, Graciana

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https://doi.org/10.1080/02698595.2014.953341
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International Studies in the Philosophy of Science. 2014, 28(3), pp. 235-253. ISSN 0269-8595. eISSN 1469-9281. Available under: doi: 10.1080/02698595.2014.953341

Zusammenfassung

This article provides a spatial analysis of the conceptual framework of fluid dynamics during the nineteenth century, focusing on the transition from the Euler equation to the Navier–Stokes equation. A dynamic version of Peter Gärdenfors's theory of conceptual spaces is applied which distinguishes changes of five types: addition and deletion of special laws; change of metric; change in importance; change in separability; addition and deletion of dimensions. The case instantiates all types but the deletion of dimensions. We also provide a new view upon limiting case reduction at the conceptual level that clarifies the relation between the predecessor and successor conceptual framework. The nineteenth-century development of fluid dynamics is argued to be an instance of normal science development.

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100 Philosophie

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ISO 690PETERSEN, Graciana, Frank ZENKER, 2014. From Euler to Navier-Stokes : A Spatial Analysis of Conceptual Changes in Nineteenth-century Fluid Dynamics. In: International Studies in the Philosophy of Science. 2014, 28(3), pp. 235-253. ISSN 0269-8595. eISSN 1469-9281. Available under: doi: 10.1080/02698595.2014.953341
BibTex
@article{Petersen2014Euler-31713,
  year={2014},
  doi={10.1080/02698595.2014.953341},
  title={From Euler to Navier-Stokes : A Spatial Analysis of Conceptual Changes in Nineteenth-century Fluid Dynamics},
  number={3},
  volume={28},
  issn={0269-8595},
  journal={International Studies in the Philosophy of Science},
  pages={235--253},
  author={Petersen, Graciana and Zenker, Frank}
}
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