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

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Solubility of unsteady equations of the three-dimensional motion of two-component viscous compressible heat-conducting fluids. / Mamontov, Alexander E.; Prokudin, Dmitriy A.

In: Izvestiya Mathematics, Vol. 85, No. 4, 07.2021, p. 755-812.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{460ef34b73b542a29d09215f745f3d08,

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

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.",

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

author = "Mamontov, {Alexander E.} and Prokudin, {Dmitriy A.}",

note = "Funding Information: This paper was written with the support of the Mathematical Centre in Akademgorodok, contract no. 075-15-2019-1613 with the Ministry of science and higher education of the Russian Federation. Publisher Copyright: {\textcopyright} 2021 Russian Academy of Sciences (DoM) and London Mathematical Society",

year = "2021",

month = jul,

doi = "10.1070/IM9019",

language = "English",

volume = "85",

pages = "755--812",

journal = "Izvestiya Mathematics",

issn = "1064-5632",

publisher = "IOP Publishing Ltd.",

number = "4",

}

RIS

TY - JOUR

T1 - Solubility of unsteady equations of the three-dimensional motion of two-component viscous compressible heat-conducting fluids

AU - Mamontov, Alexander E.

AU - Prokudin, Dmitriy A.

N1 - Funding Information: This paper was written with the support of the Mathematical Centre in Akademgorodok, contract no. 075-15-2019-1613 with the Ministry of science and higher education of the Russian Federation. Publisher Copyright: © 2021 Russian Academy of Sciences (DoM) and London Mathematical Society

PY - 2021/7

Y1 - 2021/7

N2 - 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.

AB - 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.

KW - Global existence theorem

KW - Homogeneous mixture with multiple velocities

KW - Multidimensional flow

KW - Unsteady boundary-value problem

KW - Viscous compressible heat-conducting fluid

UR - http://www.scopus.com/inward/record.url?scp=85114473327&partnerID=8YFLogxK

U2 - 10.1070/IM9019

DO - 10.1070/IM9019

M3 - Article

AN - SCOPUS:85114473327

VL - 85

SP - 755

EP - 812

JO - Izvestiya Mathematics

JF - Izvestiya Mathematics

SN - 1064-5632

IS - 4

ER -

ID: 34161794