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On the flat strong discontinuities in incompressible polymeric liquids. / Seménko, Roman; Blokhin, Alexander.

In: Journal of Physics: Conference Series, Vol. 1141, No. 1, 012107, 21.12.2018.

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

Harvard

Seménko, R & Blokhin, A 2018, 'On the flat strong discontinuities in incompressible polymeric liquids', Journal of Physics: Conference Series, vol. 1141, no. 1, 012107. https://doi.org/10.1088/1742-6596/1141/1/012107

APA

Seménko, R., & Blokhin, A. (2018). On the flat strong discontinuities in incompressible polymeric liquids. Journal of Physics: Conference Series, 1141(1), [012107]. https://doi.org/10.1088/1742-6596/1141/1/012107

Vancouver

Seménko R, Blokhin A. On the flat strong discontinuities in incompressible polymeric liquids. Journal of Physics: Conference Series. 2018 Dec 21;1141(1):012107. doi: 10.1088/1742-6596/1141/1/012107

Author

Seménko, Roman ; Blokhin, Alexander. / On the flat strong discontinuities in incompressible polymeric liquids. In: Journal of Physics: Conference Series. 2018 ; Vol. 1141, No. 1.

BibTeX

@article{10debd6a5be14adf972bd2142c5de2c2,
title = "On the flat strong discontinuities in incompressible polymeric liquids",
abstract = "We studied the discontinuous stationary solutions for the rheological mesoscopic modified model of Pokrovskii-Vinogradov, which describes the dynamics of liquid polymers. The Rankine-Hugoniot conditions for the model were introduced. We justified the existence of stationary solutions with flat surface of strong discontinuity for the case of constant velocity direction across the discontinuity and for the case with change of direction (rotating discontinuity). The stability of such solutions was also considered. For linearized equations of the model we posed the eigenvalue problem for partial solutions with unlimited grow in time. It was shown that such solutions exists in anisotropic case wich means the stationary solutions with flat discontinuity are unstable within the given model.",
author = "Roman Sem{\'e}nko and Alexander Blokhin",
year = "2018",
month = dec,
day = "21",
doi = "10.1088/1742-6596/1141/1/012107",
language = "English",
volume = "1141",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
publisher = "IOP Publishing Ltd.",
number = "1",
note = "7th International Conference on Mathematical Modeling in Physical Sciences, IC-MSQUARE 2018 ; Conference date: 27-08-2018 Through 31-08-2018",

}

RIS

TY - JOUR

T1 - On the flat strong discontinuities in incompressible polymeric liquids

AU - Seménko, Roman

AU - Blokhin, Alexander

PY - 2018/12/21

Y1 - 2018/12/21

N2 - We studied the discontinuous stationary solutions for the rheological mesoscopic modified model of Pokrovskii-Vinogradov, which describes the dynamics of liquid polymers. The Rankine-Hugoniot conditions for the model were introduced. We justified the existence of stationary solutions with flat surface of strong discontinuity for the case of constant velocity direction across the discontinuity and for the case with change of direction (rotating discontinuity). The stability of such solutions was also considered. For linearized equations of the model we posed the eigenvalue problem for partial solutions with unlimited grow in time. It was shown that such solutions exists in anisotropic case wich means the stationary solutions with flat discontinuity are unstable within the given model.

AB - We studied the discontinuous stationary solutions for the rheological mesoscopic modified model of Pokrovskii-Vinogradov, which describes the dynamics of liquid polymers. The Rankine-Hugoniot conditions for the model were introduced. We justified the existence of stationary solutions with flat surface of strong discontinuity for the case of constant velocity direction across the discontinuity and for the case with change of direction (rotating discontinuity). The stability of such solutions was also considered. For linearized equations of the model we posed the eigenvalue problem for partial solutions with unlimited grow in time. It was shown that such solutions exists in anisotropic case wich means the stationary solutions with flat discontinuity are unstable within the given model.

UR - http://www.scopus.com/inward/record.url?scp=85059394159&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1141/1/012107

DO - 10.1088/1742-6596/1141/1/012107

M3 - Conference article

AN - SCOPUS:85059394159

VL - 1141

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012107

T2 - 7th International Conference on Mathematical Modeling in Physical Sciences, IC-MSQUARE 2018

Y2 - 27 August 2018 through 31 August 2018

ER -

ID: 18071904