Solubility of unsteady equations of the three-dimensional motion of two-component viscous compressible heat-conducting fluids

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Abstract

We consider equations for the three-dimensional unsteady motion of mixtures of viscous compressible heat-conducting fluids in the multi-velocity approach. We prove the existence, globally in time and the input data, of a generalized (dissipative) solution of the initial-boundary value problem corresponding to flows in a bounded domain.

Original languageEnglish
Pages (from-to)755-812
Number of pages58
JournalIzvestiya Mathematics
Volume85
Issue number4
DOIs
Publication statusPublished - Jul 2021

Keywords

  • Global existence theorem
  • Homogeneous mixture with multiple velocities
  • Multidimensional flow
  • Unsteady boundary-value problem
  • Viscous compressible heat-conducting fluid

OECD FOS+WOS

  • 1.01 MATHEMATICS

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