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This article is cited in 3 scientific papers (total in 3 papers)
Solvability of the Boundary-Value Problem for Equations of One-Dimensional Motion of a Two-Phase Mixture
I. G. Akhmerova, A. A. Papin Altai State University, Barnaul
Abstract:
For the system of equations of one-dimensional nonstationary motion of a heat-conducting two-phase mixture (of gas and solid particles), the local solvability of the initial boundary value problem is proved. For the case in which the intrinsic densities of the phases are constant and the viscosity and the acceleration of the second phase are small, we establish the “global” (with respect to time) solvability and the convergence (as time increases unboundedly) of the solution of the nonstationary problem to the solution of the stationary one.
Keywords:
two-phase mixture of gas and solid particles, nonstationary motion of a two-phase mixture, the maximum principle for concentration and intrinsic density, Reynolds number, Froude number.
DOI:
https://doi.org/10.4213/mzm10346
Full text:
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English version:
Mathematical Notes, 2014, 96:2, 166–179
Bibliographic databases:
UDC:
517.946 Received: 12.07.2013
Citation:
I. G. Akhmerova, A. A. Papin, “Solvability of the Boundary-Value Problem for Equations of One-Dimensional Motion of a Two-Phase Mixture”, Mat. Zametki, 96:2 (2014), 170–185; Math. Notes, 96:2 (2014), 166–179
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/mz10346https://doi.org/10.4213/mzm10346 http://mi.mathnet.ru/eng/mz/v96/i2/p170
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Alexander A. Papin, Margarita A. Tokareva, Rudolf A. Virts, “Filtration of liquid in a non-isothermal viscous porous medium”, Zhurn. SFU. Ser. Matem. i fiz., 13:6 (2020), 763–773
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