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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 4, Pages 914–931 (Mi smj905)  
This article is cited in 8 scientific papers (total in 8 papers)

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

R. M. Taranets

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences
Full-text PDF (294 kB) Citations (8)
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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.
Keywords: thin film equation, convection, Cauchy problem, support propagation.
Received: 12.04.2005
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 4, Pages 751–766
DOI: https://doi.org/10.1007/s11202-006-0086-6
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: R. M. Taranets, “Propagation of perturbations in thin capillary film equations with nonlinear diffusion and convection”, Sibirsk. Mat. Zh., 47:4 (2006), 914–931; Siberian Math. J., 47:4 (2006), 751–766
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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