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Propagation of perturbations in thin capillary film equations with nonlinear diffusion and convection

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Abstract

We study the evolution of the support of an arbitrary strong generalized solution to the Cauchy problem for the thin film equation with nonlinear diffusion and convection. We find an upper bound exact (in a sense) for the propagation speed of the support of this solution.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Donetsk the, Ukraine

    R. M. Taranets

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  1. R. M. Taranets
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Original Russian Text Copyright © 2006 Taranets R. M.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 47, No. 4, pp. 914–931, July–August, 2006.

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Taranets, R.M. Propagation of perturbations in thin capillary film equations with nonlinear diffusion and convection. Sib Math J 47, 751–766 (2006). https://doi.org/10.1007/s11202-006-0086-6

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  • DOI: https://doi.org/10.1007/s11202-006-0086-6

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