Standard

Free Boundary Problem in a Polymer Solution Model. / Petrova, A. G.; Pukhnachev, V. V.

In: Russian Journal of Mathematical Physics, Vol. 28, No. 1, 01.2021, p. 96-103.

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

Harvard

Petrova, AG & Pukhnachev, VV 2021, 'Free Boundary Problem in a Polymer Solution Model', Russian Journal of Mathematical Physics, vol. 28, no. 1, pp. 96-103. https://doi.org/10.1134/S1061920821010106

APA

Petrova, A. G., & Pukhnachev, V. V. (2021). Free Boundary Problem in a Polymer Solution Model. Russian Journal of Mathematical Physics, 28(1), 96-103. https://doi.org/10.1134/S1061920821010106

Vancouver

Petrova AG, Pukhnachev VV. Free Boundary Problem in a Polymer Solution Model. Russian Journal of Mathematical Physics. 2021 Jan;28(1):96-103. doi: 10.1134/S1061920821010106

Author

Petrova, A. G. ; Pukhnachev, V. V. / Free Boundary Problem in a Polymer Solution Model. In: Russian Journal of Mathematical Physics. 2021 ; Vol. 28, No. 1. pp. 96-103.

BibTeX

@article{0618637a4af44d1fb7835bcf43e4a3ab,
title = "Free Boundary Problem in a Polymer Solution Model",
abstract = "An initial boundary value problem with a free boundary for a third-order integro-differential equation for the unsteady flow of an aqueous polymer solution in a strip is studied. Questions concerning the solvability of the problem and the qualitative behavior of the solution in dependence on the initial data are investigated: time-local resolvability is established under natural conditions on the input data and conditions of global solvability are found for the problem of strip narrowing. Conditions for the bowing-up of the solution in finite time in the model problem of strip expansion are presented. The problem of small perturbations of the flow of a strip of viscous fluid with respect to a parameter proportional to the relaxation viscosity is also consider.",
author = "Petrova, {A. G.} and Pukhnachev, {V. V.}",
note = "Funding Information: The research was financially supported by the Russian Foundation for Basic Research (project 19-01-0096). Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
month = jan,
doi = "10.1134/S1061920821010106",
language = "English",
volume = "28",
pages = "96--103",
journal = "Russian Journal of Mathematical Physics",
issn = "1061-9208",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - Free Boundary Problem in a Polymer Solution Model

AU - Petrova, A. G.

AU - Pukhnachev, V. V.

N1 - Funding Information: The research was financially supported by the Russian Foundation for Basic Research (project 19-01-0096). Publisher Copyright: © 2021, Pleiades Publishing, Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/1

Y1 - 2021/1

N2 - An initial boundary value problem with a free boundary for a third-order integro-differential equation for the unsteady flow of an aqueous polymer solution in a strip is studied. Questions concerning the solvability of the problem and the qualitative behavior of the solution in dependence on the initial data are investigated: time-local resolvability is established under natural conditions on the input data and conditions of global solvability are found for the problem of strip narrowing. Conditions for the bowing-up of the solution in finite time in the model problem of strip expansion are presented. The problem of small perturbations of the flow of a strip of viscous fluid with respect to a parameter proportional to the relaxation viscosity is also consider.

AB - An initial boundary value problem with a free boundary for a third-order integro-differential equation for the unsteady flow of an aqueous polymer solution in a strip is studied. Questions concerning the solvability of the problem and the qualitative behavior of the solution in dependence on the initial data are investigated: time-local resolvability is established under natural conditions on the input data and conditions of global solvability are found for the problem of strip narrowing. Conditions for the bowing-up of the solution in finite time in the model problem of strip expansion are presented. The problem of small perturbations of the flow of a strip of viscous fluid with respect to a parameter proportional to the relaxation viscosity is also consider.

UR - http://www.scopus.com/inward/record.url?scp=85102742475&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/493b06d8-383c-3eaa-a8c2-18c7770486b4/

U2 - 10.1134/S1061920821010106

DO - 10.1134/S1061920821010106

M3 - Article

AN - SCOPUS:85102742475

VL - 28

SP - 96

EP - 103

JO - Russian Journal of Mathematical Physics

JF - Russian Journal of Mathematical Physics

SN - 1061-9208

IS - 1

ER -

ID: 28143099