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The motion of a compressible viscous fluid around rotating body

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Abstract

We consider the motion of compressible viscous fluids around a rotating rigid obstacle when the velocity at infinity is non zero and parallel to the axis of rotation. We prove the existence of weak solution.

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Notes

  1. We shall give more details on this procedure when treating the limit \(R\rightarrow \infty \) in the next section.

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Authors and Affiliations

  1. Department of Technical Mathematics, Czech Technical University, Karlovo nám. 13, 121 35 , Prague 2, Czech Republic

    S. Kračmar

  2. Institute of Mathematics of the Academy of Sciences of the Czech Republic, Žitná 25, 115 67 , Praha 1, Czech Republic

    Š. Nečasová

  3. IMATH EA 2134, Université de Toulon, BP20132, 83957 , La Garde, France

    A. Novotný

Authors
  1. S. Kračmar
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  2. Š. Nečasová
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  3. A. Novotný
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Corresponding author

Correspondence to A. Novotný.

Additional information

S. Kracmar acknowledges the support of the Czech Science Foundation (GAČR) project P201/11/1304. S. Nečasová acknowledges the support of the Czech Science Foundation (GAČR) project P201/11/1304 in the general framework of RVO 67985840. The work was supported by the MODTERCOM project within the APEX programme of the region Provence-Alpes-Côte d’Azur, France.

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Kračmar, S., Nečasová, Š. & Novotný, A. The motion of a compressible viscous fluid around rotating body. Ann Univ Ferrara 60, 189–208 (2014). https://doi.org/10.1007/s11565-014-0212-5

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  • DOI: https://doi.org/10.1007/s11565-014-0212-5

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