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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)
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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
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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