Global solvability of the initial-boundary value problem for Navier-Stokes-Fourier type equations describing flows of viscous compressible heat-conducting multifluids

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Abstract

We consider the initial-boundary value problem governing unsteady motions of viscous compressible heat-conducting multifluids in a bounded three-dimensional domain. The operator of the material derivative is assumed to be common for all components and defined by the average velocity of the multifluid, but in the remaining terms, the individual velocities are kept. Pressure is considered common and dependent on total density and temperature. The existence of weak solutions of the initial-boundary value problem is proved without simplifying assumptions about the structure of viscosity matrices, except the standard physical requirements of positive definiteness.

Original languageEnglish
Article number012061
Number of pages7
JournalJournal of Physics: Conference Series
Volume1268
Issue number1
DOIs
Publication statusPublished - 16 Jul 2019
EventAll-Russian Conference and School for Young Scientists, devoted to 100th Anniversary of Academician L.V. Ovsiannikov on Mathematical Problems of Continuum Mechanics, MPCM 2019 - Novosibirsk, Russian Federation
Duration: 13 May 201917 May 2019

Keywords

  • POLYTROPIC MOTION
  • 2-VELOCITY HYDRODYNAMICS
  • UNIQUE SOLVABILITY
  • MIXTURES
  • SOLUBILITY
  • EXISTENCE
  • SYSTEM

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