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Supersingular Distributions and Their Application in Mechanics

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Abstract

We introduce the notion of supersingular distributions and show their application to finding generalized solutions of the continuity equation for the density of matter moving in the Burgers velocity field.

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REFERENCES

  1. B. L. Rozhdestvensky and N. N. Yanenko, Systems of Quasilinear Equations [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  2. E. Hopf, Commun. Pure Appl. Math., 3, 201 (1950).

    Google Scholar 

  3. S. N. Gurbatov, A.N. Malakhov, and A. I. Saichev, Nonlinear Random Waves and Turbulence in Nondispersive Media: Waves, Rays and Particles, Manchester Univ. Press, Manchester (1991).

    Google Scholar 

  4. S. F. Shandarin and Ya.B. Zeldovich, Rev. Mod. Phys., 148, 623 (1992).

    Google Scholar 

  5. S. N. Gurbatov, A. I. Saichev, and S. F. Shandarin, Dokl. Akad. Nauk SSSR, 285, No. 2, 323 (1985).

    Google Scholar 

  6. S. N. Gurbatov, A. I. Saichev, and S. F. Shandarin, Mon. Not. Roy. Astron. Soc., 236, 385 (1989).

    Google Scholar 

  7. D. H. Weinberg and J. E. Gunn, Mon. Not. Roy. Astron. Soc., 247, 260 (1990).

    Google Scholar 

  8. G. T. Csanady, Turbulent Diffusion in the Environment, D. Reidel, Dordrecht (1985).

    Google Scholar 

  9. A. I. Saichev and W. A. Woyczyński, SIAM J. Appl. Math., 56, No. 4, 31 (1996).

    Google Scholar 

  10. M. Vergassola, B. Dubrulles, U. Frisch, and A. Noullez, Astron. Astrophys., 284, 325 (1994).

    Google Scholar 

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Authors and Affiliations

  1. N. I. Lobachevsky State University, Nizhny Novgorod, Russia

    A. I. Saichev & S. A. Lapinova

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  1. A. I. Saichev
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  2. S. A. Lapinova
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Saichev, A.I., Lapinova, S.A. Supersingular Distributions and Their Application in Mechanics. Radiophysics and Quantum Electronics 44, 645–652 (2001). https://doi.org/10.1023/A:1012581723799

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  • DOI: https://doi.org/10.1023/A:1012581723799

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