Journal of Mathematical Sciences

, Volume 77, Issue 3, pp 3250–3255 | Cite as

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

  • V. A. Solonnikov
Article
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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 2 l+2,l/2+1 (QT), QT=Ω×(0,T), for arbitrary l>1/2. Bibliography: 10 titles.

Keywords

Bounded Domain Anisotropic Space Barotropic Fluid Barotropic Liquid Compressible Barotropic Fluid 

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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • V. A. Solonnikov

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