We discuss symmetrization of a system of equations governing flows of an incompressible viscoelastic (polymeric) fluid. Bibliography: 8 titles.
Similar content being viewed by others
References
N. V. Bambaeva and A. M. Blokhin, “The t-hyperbolicity of a nonstationary system governing flows of polymeric media” [in Russian], Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 11, No. 2, 3–14 (2011); English transl.: J. Math. Sci., New York 188, No. 4. 333–343 (2013).
G. V. Pyshnograi, V. N. Pokrovskii, Yu. G. Yanovskii, Yu. N. Karnet, and I. F. Obraztsov, “Governing equation for nonlinear viscoelastic (polymer) media in the zeroth approximation for the parameters of molecular theory and implications for shear and tension” [in Russian], Dokl. Akad. Nauk 339, No. 5, 612–615 (1994).
Yu. A. Altukhov and G. V. Pyshnograi, “Input flows in channel 4:1 of fluid linear polymers” [in Russian], Mekh. Kompoz. Mater. Konstr. 7, No. 1, 16–23 (2001).
N. V. Bambaeva and A. M. Blokhin, “Stationary solutions of equations of incompressible viscoelastic polymer liquid” [in Russian] Zh. Vychisl. Mat. Mat. Fiz. 54, No. 5, 845–870 (2014); English transl.: Comput. Math. Math. Phys. 54, No. 5, 874–899 (2014).
S. K. Godunov, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1979).
A. M. Blokhin, Energy Integrals and Applications to Gas Dynamics Problems [in Russian], Nauka, Novosibirsk (1986).
A. M. Blokhin and V. N. Dorovskii, Problems in Mathematical Modelling of Multi-Speed Continuum [in Russian], Nauka, Novosibirsk (1994).
A. M. Blokhin and Yu. L. Trakhinin, Stability of Strong Discontinuities in Magnetohydrodynamics and Electrodynamics [in Russian], Izhevsk (2004).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Vestnik Novosibirskogo Gosudarstvennogo Universiteta: Seriya Matematika, Mekhanika, Informatika 13, No. 1, 2013, pp. 24–31.
Rights and permissions
About this article
Cite this article
Bambaeva, N.V., Blokhin, A.M. Symmetrization of the System of Equations Governing an Incompressible Viscoelastic Polymeric Fluid. J Math Sci 203, 436–443 (2014). https://doi.org/10.1007/s10958-014-2147-x
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10958-014-2147-x