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Initial-boundary value problems for the equations of a viscoelastic fluid of Oldroyd type

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References

  1. C. Guillopé and J.-C. Saut, “Résultats d'existence pour des fluides viscoélastiques à loi de comportement de type différentiel,” C. R. Acad. Sci. Paris Sér. I Math.,305, 489–492 (1987).

    Google Scholar 

  2. A. P. Oskolkov, On Nonstationary Flows of Viscoelastic Fluids [Preprint, R-2-80] [in Russian], Leningrad (1980).

  3. Yu. Ya. Agranovich and P. E. Sobolevskiĩ, “Motion of a nonlinear viscoelastic fluid,” Dokl. Akad. Nauk SSSR,314, No. 3, 521–525 (1990).

    Google Scholar 

  4. M. Renardy, “Recent advances in the mathematical theory of steady flow of viscoelastic fluids,” J. Non-Newtonian Fluid Mech.,29, 11–24 (1988).

    Google Scholar 

  5. O. A. Ladyzhenskaya, Mathematical Questions of the Dynamics of a Viscous Incompressible Fluid [in Russian], Fizmatgiz, Moscow (1970).

    Google Scholar 

  6. S. N. Antontsev, A. V. Kazhikhov, and V. N. Monakhov, Boundary Value Problems of Inhomogeneous Fluid Mechanics [in Russian], Nauka, Novosibirsk (1983).

    Google Scholar 

  7. J.-L. Lions, Some Methods for Solving Nonlinear Boundary Value Problems [Russian translation], Mir, Moscow (1972).

    Google Scholar 

  8. A. V. Kazhikhov, “Solvability of certain unilateral boundary value problems for the Navier-Stokes equations,” Dinamika Sploshn. Sredy (Novosibirsk), No. 16, 5–34 (1974).

    Google Scholar 

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Translated from Sibirskiĩ Matematicheskiĩ, Vol. 36, No. 2, pp. 444–458, March–April, 1995.

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Turganbaev, E.M. Initial-boundary value problems for the equations of a viscoelastic fluid of Oldroyd type. Sib Math J 36, 389–403 (1995). https://doi.org/10.1007/BF02110162

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