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The solvability of the initial boundary-value problem for equations of motion of a viscous compressible barotropic liquid in the spacesW l+1,l/2+1 2 (Q T )

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Abstract

A new method of estimating the solutions of the Navier-Stokes equations for a viscous compressible barotropic fluid in a bounded domain Ω⊂ℝ3 is suggested, which makes it possible to investigate the problem for the whole scale of anisotropic spaces W l+2,l/2+12 (QT), QT=Ω×(0,T), for arbitrary l>1/2. Bibliography: 10 titles.

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Authors
  1. V. A. Solonnikov
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Additional information

To dear Olga Alexandrovna Ladyzenskaya on her jubilee

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 200, 1992, pp. 177–186.

Translated by V. A. Solonnikov.

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Solonnikov, V.A. The solvability of the initial boundary-value problem for equations of motion of a viscous compressible barotropic liquid in the spacesW l+1,l/2+1 2 (Q T ). J Math Sci 77, 3250–3255 (1995). https://doi.org/10.1007/BF02364719

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  • DOI: https://doi.org/10.1007/BF02364719

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