Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 3, Pages 61–65 (Mi vmumm157)  
This article is cited in 2 scientific papers (total in 2 papers)

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Some exact solutions of the evolutionary equation for spreading of a plastic layer on a plane

V. A. Kadymova, E. N. Sosenushkinb, E. A. Yanovskayab

a Moscow State University of Humanities and Economics
b Moscow Institute "Stankin"
Full-text PDF (294 kB) Citations (2)
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Abstract: The flow of a thin plastic layer between two rigid plates approaching normal to each other is considered. The kinematics of plastic layer spreading is studied. An evolution equation determining the free boundary of the spreading region is derived. The similarity solutions of this equation are analyzed. It is shown that the evolution equation can be reduced to a particular case of the nonlinear heat conduction equation. New exact particular solutions to the evolution equation are obtained using the variable separation method and the method of self-similar transformations.
Key words: plastic layer compression, boundary value problem formulation, free flow on the plane, boundary evolution equation.
Received: 10.10.2014
English version:
Moscow University Mechanics Bulletin, 2016, Volume 71, Issue 3, Pages 69–72
DOI: https://doi.org/10.3103/S0027133016030043
Bibliographic databases:
Document Type: Article
UDC: 539.374
Language: Russian
Citation: V. A. Kadymov, E. N. Sosenushkin, E. A. Yanovskaya, “Some exact solutions of the evolutionary equation for spreading of a plastic layer on a plane”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 3, 61–65; Moscow University Mechanics Bulletin, 71:3 (2016), 69–72
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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