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JOURNALS // Siberian Journal of Pure and Applied Mathematics // Archive

Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 2011 Volume 11, Issue 2, Pages 3–14 (Mi vngu74)

This article is cited in 4 papers

About the Question of $t$-Hyperbolicity of a Nonstationary System, Describing Flows of Polymeric Mediums

N. V. Bambaevaa, A. M. Blokhinba

a Novosibirsk State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: In this article the questions, describing the flows of incompressible viscoelastic (polymeric) fluid, are considered. The question of $t$-hyperbolicity of the system of equations is discussed. The stationary solution, similar to the Poiseuille's solution for Navier–Stokes's equations system is made.

Keywords: polymeric medium, $t$-hyperbolicity, stationary flow.

UDC: 517.956.3+532.135

Received: 07.05.2010


 English version:
Journal of Mathematical Sciences, 2013, 188:4, 333–343


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