Abstract
Boundary-value problems for systems of equations describing steady flows of a nonlinear viscoelastic fluid are reduced to variational problems.
Similar content being viewed by others
Literature cited
W. Noll, Arch. Rational Mech. Anal.,2, 197 (1958).
I. White, J. Appl. Polymer Sci.,8, 129 (1964).
R. S. Rivlin, J. Rational Mech. Anal.,5, 197 (1956).
V. G. Litvinov, Mekh. Polimer., No. 3, 421 (1966).
V. G. Litvinov, in: Hydroaeromechanics and the Theory of Elasticity [in Russian], No. 6, Khar'kov (1967), p. 44.
V. D. Coleman and W. Noll, J. Appl. Phys.,30, No. 10 (1959).
V. G. Litvinov, Mekh. Polimer., No. 6, 1103 (1968).
I. D. Huppler, Trans. Soc. Rheol.,9, 273 (1965).
V. I. Smirnov, Course in Higher Mathematics [in Russian], Vol. 4, Fizmatgiz, Moscow (1958).
I. M. Gel'fand and S. V. Fomin, Variational Calculus [in Russian], Fizmatgiz, Moscow (1961).
S. G. Mikhlin, Numerical Realization of Variational Methods [in Russian], Nauka, Moscow (1966).
C. Truesdell, “The nonlinear field theories of mechanics,” Encyclopedia of Physics, Vol. III/3, Berlin-Heidelberg-New York (1965).
V.G. Litvinov and V. M. Goncharenko, Prikl. Mekh., No. 10, 27 (1969).
Author information
Authors and Affiliations
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 18, No. 6, pp. 1053–1060, June, 1970.
Rights and permissions
About this article
Cite this article
Litvinov, V.G. Aspects of the dynamics of a nonlinear viscoelastic fluid. Journal of Engineering Physics 18, 724–730 (1970). https://doi.org/10.1007/BF00827847
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00827847