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

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

Journal

Journal of Physics: Conference Series
ISSN: 1742-6588

Output data

Year: 2019, Volume: 1268, Number: 1, Pages: 012061 Pages count : 1 DOI: 10.1088/1742-6596/1268/1/012061

Authors

Mamontov Alexander ^1,2 , Prokudin Dmitry ^1,2

Affiliations

1	Lavrentyev Institute of Hydrodynamics
2	Novosibirsk State University

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.

Mamontov A. , Prokudin D.
Global solvability of the initial-boundary value problem for Navier–Stokes–Fourier type equations describing flows of viscous compressible heat-conducting multifluids
Journal of Physics: Conference Series. 2019. V.1268. N1. P.012061. DOI: 10.1088/1742-6596/1268/1/012061 Scopus РИНЦ OpenAlex

Scopus:	2-s2.0-85073892243
Elibrary:	41808812
OpenAlex:	W2957681099

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