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Mixing rules and the Navier-Stokes-Cahn-Hilliard equations for compressible heat-conductive fluids

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2016

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https://doi.org/10.1007/s00574-016-0162-x
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Bulletin of the Brazilian Mathematical Society, New Series. 2016, 47(2), pp. 457-471. ISSN 1678-7544. eISSN 1678-7714. Available under: doi: 10.1007/s00574-016-0162-x

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The framework of this article is the compressible Navier-Stokes-Cahn- Hilliard system for the dynamics of a fluid whose two phases are macroscopically immiscible; partial mixing is permitted leading to narrow transition layers. This so-called NSCH model was originally derived by Lowengrub and Truskinowsky [7], but only for the isothermal case. The purpose of this work is to present the non-isothermal version as well as a well-posedness result. The PDEs constitute a strongly coupled hyperbolicparabolic system.

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ISO 690KOTSCHOTE, Matthias, 2016. Mixing rules and the Navier-Stokes-Cahn-Hilliard equations for compressible heat-conductive fluids. In: Bulletin of the Brazilian Mathematical Society, New Series. 2016, 47(2), pp. 457-471. ISSN 1678-7544. eISSN 1678-7714. Available under: doi: 10.1007/s00574-016-0162-x
BibTex
@article{Kotschote2016-06-22Mixin-35424,
  year={2016},
  doi={10.1007/s00574-016-0162-x},
  title={Mixing rules and the Navier-Stokes-Cahn-Hilliard equations for compressible heat-conductive fluids},
  number={2},
  volume={47},
  issn={1678-7544},
  journal={Bulletin of the Brazilian Mathematical Society, New Series},
  pages={457--471},
  author={Kotschote, Matthias}
}
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