Geodesic
Solvability of the System of Equations of One-Dimensional Motion of a Heat-Conducting Two-Phase Mixture
Matematičeskie zametki, Tome 87 (2010) no. 2, pp. 246-261

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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, Hölder space, Lagrangian variable, Cauchy problem, Tikhonov–Schauder theorem, incompressible medium.
Mots-clés : viscous gas, Lebesgue space, parabolic equation 
@article{MZM_2010_87_2_a6,
     author = {A. A. Papin and I. G. Akhmerova},
     title = {Solvability of the {System} of {Equations} of {One-Dimensional} {Motion} of a {Heat-Conducting} {Two-Phase} {Mixture}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {246--261},
     publisher = {mathdoc},
     volume = {87},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_87_2_a6/}
}
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A. A. Papin; I. G. Akhmerova. Solvability of the System of Equations of One-Dimensional Motion of a Heat-Conducting Two-Phase Mixture. Matematičeskie zametki, Tome 87 (2010) no. 2, pp. 246-261. http://geodesic.mathdoc.fr/item/MZM_2010_87_2_a6/