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Matematicheskie Zametki, 2010, Volume 87, Issue 2, Pages 246–261
DOI: https://doi.org/10.4213/mzm7706 (Mi mzm7706) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Solvability of the System of Equations of One-Dimensional Motion of a Heat-Conducting Two-Phase Mixture

A. A. Papin, I. G. Akhmerova

Altai State University
Full-text PDF (527 kB) Citations (17)
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DOI: https://doi.org/10.4213/mzm7706
Abstract: We prove the local solvability of the initial boundary-value problem for the system of equations of one-dimensional nonstationary motion of a heat-conducting two-phase mixture (gas plus solid particles). For the case in which the real densities of the phases are constant, we establish the solvability “in the large” with respect to time.
Keywords: motion of a heat-conducting two-phase mixture, quasilinear system of equations, viscous gas, Lebesgue space, Hölder space, Lagrangian variable, Cauchy problem, parabolic equation, Tikhonov–Schauder theorem, incompressible medium.
Received: 17.02.2009
Revised: 14.06.2009
English version:
Mathematical Notes, 2010, Volume 87, Issue 2, Pages 230–243
DOI: https://doi.org/10.1134/S0001434610010293
Bibliographic databases:
UDC: 517.946
Language: Russian
Citation: A. A. Papin, I. G. Akhmerova, “Solvability of the System of Equations of One-Dimensional Motion of a Heat-Conducting Two-Phase Mixture”, Mat. Zametki, 87:2 (2010), 246–261; Math. Notes, 87:2 (2010), 230–243
Citation in format AMSBIB
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\pages 246--261
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\jour Math. Notes
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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