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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Global solvability of the initial-boundary value problem for Navier-Stokes-Fourier type equations describing flows of viscous compressible heat-conducting multifluids. / Mamontov, Alexander ; Prokudin, Dmitry.

In: Journal of Physics: Conference Series, Vol. 1268, No. 1, 012061, 16.07.2019.

Research output: Contribution to journal › Conference article › peer-review

BibTeX

@article{608342f89e704bbdbc4c864b8914a8c9,

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

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.",

keywords = "POLYTROPIC MOTION, 2-VELOCITY HYDRODYNAMICS, UNIQUE SOLVABILITY, MIXTURES, SOLUBILITY, EXISTENCE, SYSTEM",

author = "Alexander Mamontov and Dmitry Prokudin",

year = "2019",

month = jul,

day = "16",

doi = "10.1088/1742-6596/1268/1/012061",

language = "English",

volume = "1268",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

note = "All-Russian Conference and School for Young Scientists, devoted to 100th Anniversary of Academician L.V. Ovsiannikov on Mathematical Problems of Continuum Mechanics, MPCM 2019 ; Conference date: 13-05-2019 Through 17-05-2019",

}

RIS

TY - JOUR

T1 - Global solvability of the initial-boundary value problem for Navier-Stokes-Fourier type equations describing flows of viscous compressible heat-conducting multifluids

AU - Mamontov, Alexander

AU - Prokudin, Dmitry

PY - 2019/7/16

Y1 - 2019/7/16

N2 - 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.

AB - 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.

KW - POLYTROPIC MOTION

KW - 2-VELOCITY HYDRODYNAMICS

KW - UNIQUE SOLVABILITY

KW - MIXTURES

KW - SOLUBILITY

KW - EXISTENCE

KW - SYSTEM

UR - http://www.scopus.com/inward/record.url?scp=85073892243&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1268/1/012061

DO - 10.1088/1742-6596/1268/1/012061

M3 - Conference article

AN - SCOPUS:85073892243

VL - 1268

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012061

T2 - All-Russian Conference and School for Young Scientists, devoted to 100th Anniversary of Academician L.V. Ovsiannikov on Mathematical Problems of Continuum Mechanics, MPCM 2019

Y2 - 13 May 2019 through 17 May 2019

ER -

ID: 21996985