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Averaging of weakly nonlinear hyperbolic systems with nonuniform integral means

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Abstract

A scheme is developed for averaging quasi-linear partial differential systems of the first order along characteristics of the linear part of the system. The method is a generalization of averaging schemes developed earlier by the author to the case in which integral means exist nonuniformly with respect to the characteristic variables.

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Authors and Affiliations

  1. Vilnius Technical Institute, Vilnius

    A. V. Krylov

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  1. A. V. Krylov
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 5, pp. 611–618, May, 1991.

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Krylov, A.V. Averaging of weakly nonlinear hyperbolic systems with nonuniform integral means. Ukr Math J 43, 566–573 (1991). https://doi.org/10.1007/BF01058542

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  • DOI: https://doi.org/10.1007/BF01058542

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