Global Unique Solvability of the Initial-Boundary Value Problem for the Equations of One-Dimensional Polytropic Flows of Viscous Compressible Multifluids

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Global Unique Solvability of the Initial-Boundary Value Problem for the Equations of One-Dimensional Polytropic Flows of Viscous Compressible Multifluids. / Mamontov, Alexander E.; Prokudin, Dmitry A.

In: Journal of Mathematical Fluid Mechanics, Vol. 21, No. 1, 9, 01.03.2019.

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

BibTeX

@article{e1427683c21349bea635c0b3f4703156,

title = "Global Unique Solvability of the Initial-Boundary Value Problem for the Equations of One-Dimensional Polytropic Flows of Viscous Compressible Multifluids",

abstract = "We consider the equations which describe polytropic one-dimensional flows of viscous compressible multifluids. We prove global existence and uniqueness of a solution to the initial-boundary value problem which corresponds to the flow in a bounded space domain.",

keywords = "Global existence, Initial-boundary value problem, Multifluid, Polytropic flow, Uniqueness, Viscous compressible flow, EXISTENCE, SYSTEM, Secondary 76T99, MULTI-FLUIDS, SOLUBILITY, MIXTURES, Primary 76N10, MOTION",

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

note = "Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG.",

year = "2019",

month = mar,

day = "1",

doi = "10.1007/s00021-019-0416-7",

language = "English",

volume = "21",

journal = "Journal of Mathematical Fluid Mechanics",

issn = "1422-6928",

publisher = "Birkhauser Verlag Basel",

number = "1",

}

RIS

TY - JOUR

T1 - Global Unique Solvability of the Initial-Boundary Value Problem for the Equations of One-Dimensional Polytropic Flows of Viscous Compressible Multifluids

AU - Mamontov, Alexander E.

AU - Prokudin, Dmitry A.

PY - 2019/3/1

Y1 - 2019/3/1

N2 - We consider the equations which describe polytropic one-dimensional flows of viscous compressible multifluids. We prove global existence and uniqueness of a solution to the initial-boundary value problem which corresponds to the flow in a bounded space domain.

AB - We consider the equations which describe polytropic one-dimensional flows of viscous compressible multifluids. We prove global existence and uniqueness of a solution to the initial-boundary value problem which corresponds to the flow in a bounded space domain.

KW - Global existence

KW - Initial-boundary value problem

KW - Multifluid

KW - Polytropic flow

KW - Uniqueness

KW - Viscous compressible flow

KW - EXISTENCE

KW - SYSTEM

KW - Secondary 76T99

KW - MULTI-FLUIDS

KW - SOLUBILITY

KW - MIXTURES

KW - Primary 76N10

KW - MOTION

UR - http://www.scopus.com/inward/record.url?scp=85061695934&partnerID=8YFLogxK

U2 - 10.1007/s00021-019-0416-7

DO - 10.1007/s00021-019-0416-7

M3 - Article

AN - SCOPUS:85061695934

VL - 21

JO - Journal of Mathematical Fluid Mechanics

JF - Journal of Mathematical Fluid Mechanics

SN - 1422-6928

IS - 1

M1 - 9

ER -

ID: 18561530