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Estimates of the solutions to the equations of motion for viscous fluid in a moving cavity with a porous damper

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Abstract

Estimates are obtained for theL 2-norms of the solutions to the equations of motion for viscous incompressible fluid in a moving ellipsoidal cavity with a porous damper.

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References

  1. S. N. Sudakov, “Motion of a body with an ellipsoidal cavity containing a porous damper and completely filled with viscous fluid,”Mat. Fiz. Nelin. Mekh., Issue 15, 84–88 (1991).

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  2. G. S. Beavers and E. M. Sparrow, “Non-Darcy flow through fibrous porous media,”J. Appl. Mech.,36 (1969).

  3. D. Joseph,Stability of Fluid Motions, Springer, Berlin (1976).

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk

    S. N. Sudakov

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  1. S. N. Sudakov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 7, pp. 1039–1044, July, 1993.

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Sudakov, S.N. Estimates of the solutions to the equations of motion for viscous fluid in a moving cavity with a porous damper. Ukr Math J 45, 1158–1165 (1993). https://doi.org/10.1007/BF01057461

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  • DOI: https://doi.org/10.1007/BF01057461

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