V. P. Orlov, “On the Strong Solutions of a Regularized Model of a Nonlinear Visco-Elastic Medium”, Mat. Zametki, 84:2 (2008), 238–253; Math. Notes, 84:2 (2008), 224

Loading [MathJax]/jax/output/SVG/config.js

Matematicheskie Zametki

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Forthcoming papers
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Mat. Zametki:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Matematicheskie Zametki, 2008, Volume 84, Issue 2, Pages 238–253
DOI: https://doi.org/10.4213/mzm4067 (Mi mzm4067)

This article is cited in 14 scientific papers (total in 14 papers)

On the Strong Solutions of a Regularized Model of a Nonlinear Visco-Elastic Medium

V. P. Orlov

Voronezh State University

Full-text PDF (523 kB) Citations (14)

References:

PDF

HTML

DOI: https://doi.org/10.4213/mzm4067

Abstract: We consider the initial boundary-value problem for the system of equations describing the motion of a nonlinear visco-elastic medium with memory along the trajectories of the velocity field; the system in question is a generalization of the system of Navier–Stokes equations. We establish existence and uniqueness theorems for strong solutions containing higher derivatives that are square-integrable in the plane case.

Keywords: nonlinear visco-elastic medium, Navier–Stokes equations, initial boundary-value problem, existence and uniqueness theorem, regularization, Sobolev space.

Received: 14.03.2007

English version:
Mathematical Notes, 2008, Volume 84, Issue 2, Pages 224–238
DOI: https://doi.org/10.1134/S0001434608070237

Bibliographic databases:

UDC: 517.958

Language: Russian

Citation: V. P. Orlov, “On the Strong Solutions of a Regularized Model of a Nonlinear Visco-Elastic Medium”, Mat. Zametki, 84:2 (2008), 238–253; Math. Notes, 84:2 (2008), 224–238

Citation in format AMSBIB

\Bibitem{Orl08}

\by V.~P.~Orlov

\paper On the Strong Solutions of a Regularized Model of a Nonlinear Visco-Elastic Medium

\jour Mat. Zametki

\yr 2008

\vol 84

\issue 2

\pages 238--253

\mathnet{http://mi.mathnet.ru/mzm4067}

\crossref{https://doi.org/10.4213/mzm4067}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2475051}

\transl

\jour Math. Notes

\yr 2008

\vol 84

\issue 2

\pages 224--238

\crossref{https://doi.org/10.1134/S0001434608070237}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000258855600023}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-50849139145}

Linking options:

https://www.mathnet.ru/eng/mzm4067

https://doi.org/10.4213/mzm4067

https://www.mathnet.ru/eng/mzm/v84/i2/p238

This publication is cited in the following 14 articles:

V. G. Zvyagin, V. P. Orlov, “On weak solvability of fractional models of viscoelastic high order fluid”, Izv. Math., 88:1 (2024), 54–76
V. G. Zvyagin, A. V. Zvyagin, V. P. Orlov, M. V. Turbin, “On the Weak Solvability of High-order Viscoelastic Fluid Dynamics Model”, Lobachevskii J Math, 45:4 (2024), 1524
E. I. Kostenko, “Investigation of Weak Solvability of One Model Nonlinear Viscosity Fluid”, Lobachevskii J Math, 45:4 (2024), 1421
Zvyagin V., Orlov V., “On Strong Solutions of Fractional Nonlinear Viscoelastic Model of Voigt Type”, Math. Meth. Appl. Sci., 44:15 (2021), 11768–11782
Zvyagin V.G., Orlov V.P., “Weak Solvability of One Viscoelastic Fractional Dynamics Model of Continuum With Memory”, J. Math. Fluid Mech., 23:1 (2021), 9
Plokhaya V E., “On Small Motions of Hydrodynamic Systems Containing a Viscoelastic Fluid”, Lobachevskii J. Math., 42:5, SI (2021), 996–1013
V. G. Zvyagin, V. P. Orlov, “On regularity of weak solutions to a generalized Voigt model of viscoelasticity”, Comput. Math. Math. Phys., 60:11 (2020), 1872–1888
V. G. Zvyagin, V. P. Orlov, “On strong solutions of a fractional nonlinear viscoelastic Voigt-type model”, Russian Math. (Iz. VUZ), 63:12 (2019), 96–100
Zvyagin V.G. Orlov V.P., “Solvability of One Non-Newtonian Fluid Dynamics Model With Memory”, Nonlinear Anal.-Theory Methods Appl., 172 (2018), 73–98
Victor Zvyagin, Vladimir Orlov, AIP Conference Proceedings, 1759, 2016, 020040
V. P. Orlov, M. I. Parshin, “On a problem in the dynamics of a thermoviscoelastic medium with memory”, Comput. Math. Math. Phys., 55:4 (2015), 650–665
V. P. Orlov, M. I. Parshin, “On one problem of dynamics of thermoviscoelastic medium of Oldroid type”, Russian Math. (Iz. VUZ), 58:5 (2014), 57–62
Vladimir Orlov, “On Strong Solutions of Regularized Model of a Viscoelastic Medium with Variable Boundary”, ISRN Mathematical Physics, 2012 (2012), 1
V. P. Orlov, “Strong solution of certain thermoviscoelastic system”, Russian Math. (Iz. VUZ), 54:8 (2010), 41–47

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	520
Full-text PDF :	261
References:	79
First page:	5

Registration to the website

Logotypes