×

On the structure of wave fronts in nonlinear dissipative media. (English) Zbl 0584.76063


MSC:

76E30 Nonlinear effects in hydrodynamic stability
35Q99 Partial differential equations of mathematical physics and other areas of application
76D99 Incompressible viscous fluids
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Abramowitz, M., & I. A. Stegun. 1964. Handbook of mathematical functions, NBS, Applied Mathematics series 55.
[2] Barenblatt, G. I., & G. I. Shapiro. 1984. Bull. USSR Ac. of Sci. Ser. Atm. and Ocean Physics 19, 277–284.
[3] Bendat, J. S., & A. G. Piersol. 1966. Measurement and analysis of random data. John Wiley & Sons, Inc. N.Y., London, Sydney. · Zbl 0144.40901
[4] Benjamin, T. B., J. L. Bona, & J. J. Mahony. 1972. Phil. · Zbl 0229.35013 · doi:10.1098/rsta.1972.0032
[5] Bogolubov, N. N., & Yu. A. Mitropolsky. 1974. Asymptotic methods in nonlinear oscillations theory. Nauka, Moscow (in Russian).
[6] Ericksen, J. L. 1968. Journal of the Acous · doi:10.1121/1.1911101
[7] Ericksen, J. L. 1971. Archive for Rationa · Zbl 0225.73069 · doi:10.1007/BF00251450
[8] Gaponov, A. V., L. A. Ostrovsky, & G. I. Freidman. 1967. Radiophysics, 10, 1376- 1413.
[9] Gurevich, A. V., & L. P. Pitaevsky. 1973. Sov. Phys. JETP. 65, 590–604.
[10] Ivanov, M. Ya. 1980. Numerical method
[11] Jeffrey, A., & T. Kawahara. 1982. Asymptotic methods in non-linear wave theory, Pitman, Boston, London, Melbourne. · Zbl 0473.35002
[12] Karpman, V. I. 1973. Non-linear waves in dispersive media, Nauka, Moscow (in Russian).
[13] Kochin, N. E. 1926. Rendiconti del Circo · JFM 52.0877.02 · doi:10.1007/BF03014738
[14] Leibovich, A., & A. R. Seebass (ed.). 1974. Non-linear waves. Cornell University Press, Ithaca and London.
[15] Monin, A. S., & A. M. Yaglom. 1971. Statistical fluid mechanics: Mechanics of Turbulence, vol. 1, MIT Press, Cambridge and London.
[16] Sagdeev, R. Z. 1964. In Topics of plasma theory, M. A. Leontovich & L. A. Artsimovich (eds.), vol. 5, Atomizdat, Moscow (in Russian).
[17] Su, C. H., & G. S. Gardn · Zbl 0283.35020 · doi:10.1063/1.1664873
[18] Whitham, G. 1974. Linear and non-linear waves. J. Wiley & Sons, N.Y., London, Sydney, Toronto. · Zbl 0373.76001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.