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A problem nonlocal in time for the equations of the dynamics of a barotropic ocean

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References

  1. M. Ehrendorfer, “Four-dimensional data assimilation: Comparison of variational and sequential algorithms,” Quart. J. Roy. Meteorol. Sci.,118, No. 566, Part a, 673–713 (1992).

    Article  Google Scholar 

  2. G. I. Marchuk, Numerical Solution of Problems of the Dynamics of Atmosphere and Ocean [in Russian], Gidrometeoizdat, Leningrad (1974).

    Google Scholar 

  3. V. I. Sukhonosov, “On global well-posedness of a three-dimensional problem of the dynamics of ocean,” Dinamika Sploshn. Sredy (Novosibirsk), No. 52, 100–115 (1981).

    Google Scholar 

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

    Google Scholar 

  5. D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order [Russian translation], Nauka, Moscow (1989).

    Google Scholar 

  6. V. V. Shelukhin, “A nonlocal (in time) model for radionuclides propagation in a Stokes fluid,” Dinamika Sploshn. Sredy (Novosibirsk), No. 107, 180–193 (1993).

    Google Scholar 

  7. L. V. Kantorovich and G. P. Akilov, Functional Analysis [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  8. V. I. Yudovich, A Linearization Method in Hydrodynamic Stability Theory [in Russian], Rostov. Univ., Rostov-on-Don (1984).

    Google Scholar 

  9. M. Z. Solomyak, “Application of semigroup theory to studying differential equations in Banach spaces,” Dokl. Akad. Nauk SSSR,122, No. 5, 766–769 (1958).

    Google Scholar 

  10. O. A. Ladyzhenskaya and N. N. Ural'tseva, Linear and Quasilinear Equations of Elliptic Type [in Russian], Nauka, Moscow (1973).

    Google Scholar 

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The research was supported by the Russian Foundation for Fundamental Research (Grant 93-013-16384) and the International Science Foundation (Grant NR 5000).

Translated fromSibirskii Matematicheskii Zhurnal, Vol. 36, No. 3, pp. 701–724, May–June, 1995.

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Shelukhin, V.V. A problem nonlocal in time for the equations of the dynamics of a barotropic ocean. Sib Math J 36, 608–630 (1995). https://doi.org/10.1007/BF02109846

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  • DOI: https://doi.org/10.1007/BF02109846

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