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On the structure of wave fronts in nonlinear dissipative media

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References

  • Abramowitz, M., & I. A. Stegun. 1964. Handbook of mathematical functions, NBS, Applied Mathematics series 55.

  • Barenblatt, G. I., & G. I. Shapiro. 1984. Bull. USSR Ac. of Sci. Ser. Atm. and Ocean Physics 19, 277–284.

    Google Scholar 

  • Bendat, J. S., & A. G. Piersol. 1966. Measurement and analysis of random data. John Wiley & Sons, Inc. N.Y., London, Sydney.

    Google Scholar 

  • Benjamin, T. B., J. L. Bona, & J. J. Mahony. 1972. Phil. Trans. Roy. Soc. London A 272, 47–78.

    Google Scholar 

  • Bogolubov, N. N., & Yu. A. Mitropolsky. 1974. Asymptotic methods in nonlinear oscillations theory. Nauka, Moscow (in Russian).

    Google Scholar 

  • Ericksen, J. L. 1968. Journal of the Acoustical Society of America 44, 444–446.

    Google Scholar 

  • Ericksen, J. L. 1971. Archive for Rational Mechanics and Analysis 43, 167–178.

    Google Scholar 

  • Gaponov, A. V., L. A. Ostrovsky, & G. I. Freidman. 1967. Radiophysics, 10, 1376- 1413.

    Google Scholar 

  • Gurevich, A. V., & L. P. Pitaevsky. 1973. Sov. Phys. JETP. 65, 590–604.

    Google Scholar 

  • Ivanov, M. Ya. 1980. Numerical methods of continuum mechanics 11, 75–90.

    Google Scholar 

  • Jeffrey, A., & T. Kawahara. 1982. Asymptotic methods in non-linear wave theory, Pitman, Boston, London, Melbourne.

    Google Scholar 

  • Karpman, V. I. 1973. Non-linear waves in dispersive media, Nauka, Moscow (in Russian).

    Google Scholar 

  • Kochin, N. E. 1926. Rendiconti del Circolo Matematico di Palermo 50, 305–344.

    Google Scholar 

  • Leibovich, A., & A. R. Seebass (ed.). 1974. Non-linear waves. Cornell University Press, Ithaca and London.

    Google Scholar 

  • Monin, A. S., & A. M. Yaglom. 1971. Statistical fluid mechanics: Mechanics of Turbulence, vol. 1, MIT Press, Cambridge and London.

    Google Scholar 

  • Sagdeev, R. Z. 1964. In Topics of plasma theory, M. A. Leontovich & L. A. Artsimovich (eds.), vol. 5, Atomizdat, Moscow (in Russian).

    Google Scholar 

  • Su, C. H., & G. S. Gardner. 1969. J. Math. Phys. 10, 536–539.

    Google Scholar 

  • Whitham, G. 1974. Linear and non-linear waves. J. Wiley & Sons, N.Y., London, Sydney, Toronto.

    Google Scholar 

  • Zakharov, V. D., M. Ya. Ivanov & V. V. Koretsky. 1981. In Problems of viscous flows. Novosibirsk (in Russian), 65–71.

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Authors and Affiliations

  1. P.P. Shirshov Institute of Oceanology, USSR Acad. of Sci, 23, ul. Krasikova, 117218, Moscow, USSR

    G. I. Barenblatt, M. Ya. Ivanov & G. I. Shapiro

Authors
  1. G. I. Barenblatt
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  2. M. Ya. Ivanov
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  3. G. I. Shapiro
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Dedicated to Jerald Ericksen

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Barenblatt, G.I., Ivanov, M.Y. & Shapiro, G.I. On the structure of wave fronts in nonlinear dissipative media. Arch. Rational Mech. Anal. 87, 293–303 (1985). https://doi.org/10.1007/BF00250915

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  • DOI: https://doi.org/10.1007/BF00250915

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