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Convergent difference schemes for equations of motion of Oldroyd fluids

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Abstract

Stable convergent finite-difference schemes are constructed for systems of differential and integrodifferential equations describing the motion of Oldroyd's linear viscoelastic fluids.

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Literature cited

  1. J. Oldroyd, “On the formulation of rheological equations of state,” Proc. R. Soc. (London),A200, 523–541 (1950).

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  3. A. P. Oskolkov, “On nonstationary flows of viscoelastic fluids,” Trudy Mat. Inst. AN SSSR,159, 101–131 (1983).

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  6. A. P. Oskolkov, “Well-posed initial-boundary value problems for equations of motion of linear viscoelastic fluids,” in: Topics of Dynamic Theory of Propagation of Seismic Waves [in Russian], No. 26, Leningrad (1986), pp. 124–142.

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  8. O. A. Ladyzhenskaya, Boundary-Value Problems of Mathematical Physics [in Russian], Moscow (1973).

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 159, pp. 143–152, 1987.

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Akhmatov, M.M., Oskolkov, A.P. Convergent difference schemes for equations of motion of Oldroyd fluids. J Math Sci 47, 2926–2933 (1989). https://doi.org/10.1007/BF01305224

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  • DOI: https://doi.org/10.1007/BF01305224

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