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Strong Solutions of the Navier-Stokes Equations for a Compressible Fluid of Allen-Cahn Type

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2012

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http://nbn-resolving.de/urn:nbn:de:bsz:352-255633
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https://doi.org/10.1007/s00205-012-0538-z
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Archive for Rational Mechanics and Analysis. 2012, 206(2), pp. 489-514. ISSN 0003-9527. eISSN 1432-0673. Available under: doi: 10.1007/s00205-012-0538-z

Zusammenfassung

In this work, we study the “Navier–Stokes–Allen–Cahn” system, a combination of the compressible Navier–Stokes equations with an Allen–Cahn phase field description. This model describes two-phase patterns in a flowing liquid including phase transformations. Our purpose is to show the existence and uniqueness of local strong solutions for arbitrary initial data. Part of the proof is based on methods used in a companion paper which investigated the compressible Navier–Stokes equations.

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510 Mathematik

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ISO 690KOTSCHOTE, Matthias, 2012. Strong Solutions of the Navier-Stokes Equations for a Compressible Fluid of Allen-Cahn Type. In: Archive for Rational Mechanics and Analysis. 2012, 206(2), pp. 489-514. ISSN 0003-9527. eISSN 1432-0673. Available under: doi: 10.1007/s00205-012-0538-z
BibTex
@article{Kotschote2012Stron-25563,
  year={2012},
  doi={10.1007/s00205-012-0538-z},
  title={Strong Solutions of the Navier-Stokes Equations for a Compressible Fluid of Allen-Cahn Type},
  number={2},
  volume={206},
  issn={0003-9527},
  journal={Archive for Rational Mechanics and Analysis},
  pages={489--514},
  author={Kotschote, Matthias}
}
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