Strong Well-Posedness for a Korteweg-Type Model for the Dynamics of a Compressible Non-Isothermal Fluid

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2009
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The aim of this work is to prove an existence and uniqueness result for a non-isothermal model of capillary compressible fluids derived by J. E. Dunn and J. Serrin (1985). The proof is essentially based on the maximal regularity result of the associated linear problem, where we can fall back upon useful results proved before. Using the maximal regularity the nonlinear problem can be approached by the contraction mapping principle.

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ISO 690KOTSCHOTE, Matthias, 2009. Strong Well-Posedness for a Korteweg-Type Model for the Dynamics of a Compressible Non-Isothermal Fluid. In: Journal of Mathematical Fluid Mechanics. 2009, 12(4), pp. 473-484. ISSN 1422-6928. eISSN 1422-6952. Available under: doi: 10.1007/s00021-009-0298-1
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@article{Kotschote2009Stron-25503,
  year={2009},
  doi={10.1007/s00021-009-0298-1},
  title={Strong Well-Posedness for a Korteweg-Type Model for the Dynamics of a Compressible Non-Isothermal Fluid},
  number={4},
  volume={12},
  issn={1422-6928},
  journal={Journal of Mathematical Fluid Mechanics},
  pages={473--484},
  author={Kotschote, Matthias}
}
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