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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

On wave fronts propagation in multicomponent media


Author: M. I. Freĭdlin
Journal: Trans. Amer. Math. Soc. 276 (1983), 181-191
MSC: Primary 35B40; Secondary 35K40, 60J60, 92A15
Erratum: Trans. Amer. Math. Soc. 289 (1985), 429.
MathSciNet review: 684501
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Abstract | References | Similar Articles | Additional Information

Abstract: The behavior as $ t \to \infty $ of solutions of some parabolic systems of differential equations of the Kolmogorov-Petrovskii-Piskunov type is investigated. The present approach uses the Kac-Feynman formula and estimates on large deviations.


References [Enhancements On Off] (What's this?)

  • [1] A. N. Kolmogorov, I. G. Petrovskii and N. S. Piskunov, A study of the equation of diffusion with increase in the quantity of matter, and its application to a biological problem, Bjul. Moskov. Gos. Univ. 1, 1-72.
  • [2] M. I. Freidlin, Propagation of a concentration wave in the presence of random motion associated with the growth of a substance, Soviet Math. Dokl. 20 (1979), 503-507.
  • [3] -, Quasi-linear parabolic equations, and measures on a function space, Funkcional. Anal. i Priložen. 1 (1967), 74-82.
  • [4] -, Average principle and theorems on large deviations, Russian Math. Surveys 33 (1978).
  • [5] A. D. Wentzell and M. I. Freidlin, Fluctuations in dynamical systems caused by small random pertubations, "Nauka", Moscow, 1979.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1983-0684501-1
PII: S 0002-9947(1983)0684501-1
Keywords: Nonlinear diffusion, wave fronts, parabolic systems
Article copyright: © Copyright 1983 American Mathematical Society