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Concentrations of Solutions to Time-Discretizied Compressible Navier-Stokes Equations

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Abstract

The compactness properties of solutions to time-discretization of compressible Navier-Stokes equations are investigated in three dimensions. The existence of generalized solutions is established.

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Authors and Affiliations

  1. Lavryentyev Institute of Hydrodynamics, Siberian Division of Russian Academy of Sciences, Lavryentyev pr. 15, Novosibirsk, 630090, Russia

    P. I. Plotnikov

  2. Institut Elie Cartan, Laboratoire de Mathématiques, Université Henri Poincaré Nancy I, B.P. 239, 54506, Vandoeuvre lès Nancy Cedex, France

    J. Sokolowski

Authors
  1. P. I. Plotnikov
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  2. J. Sokolowski
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Communicated by P. Constantin

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Plotnikov, P., Sokolowski, J. Concentrations of Solutions to Time-Discretizied Compressible Navier-Stokes Equations. Commun. Math. Phys. 258, 567–608 (2005). https://doi.org/10.1007/s00220-005-1358-x

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  • DOI: https://doi.org/10.1007/s00220-005-1358-x

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