Mots-clés : magma
@article{JSFU_2017_10_3_a16,
author = {Alexander A. Papin and Margarita A. Tokareva},
title = {On local solvability of the system of the equations of one dimensional motion of magma},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {385--395},
year = {2017},
volume = {10},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JSFU_2017_10_3_a16/}
}
TY - JOUR AU - Alexander A. Papin AU - Margarita A. Tokareva TI - On local solvability of the system of the equations of one dimensional motion of magma JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2017 SP - 385 EP - 395 VL - 10 IS - 3 UR - http://geodesic.mathdoc.fr/item/JSFU_2017_10_3_a16/ LA - en ID - JSFU_2017_10_3_a16 ER -
%0 Journal Article %A Alexander A. Papin %A Margarita A. Tokareva %T On local solvability of the system of the equations of one dimensional motion of magma %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2017 %P 385-395 %V 10 %N 3 %U http://geodesic.mathdoc.fr/item/JSFU_2017_10_3_a16/ %G en %F JSFU_2017_10_3_a16
Alexander A. Papin; Margarita A. Tokareva. On local solvability of the system of the equations of one dimensional motion of magma. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 3, pp. 385-395. http://geodesic.mathdoc.fr/item/JSFU_2017_10_3_a16/
[1] J. Bear, Dynamics of Fluids in Porous Media, Elsevier, New York, 1972 | Zbl
[2] J. A. D. Connolly, Y. Y. Podladchikov, “Compaction-driven fluid flow in viscoelastic rock”, Geodin. Acta, 11 (1998), 55–84. | DOI
[3] C. Morency, R. S. Huismans, C. Beaumont, P. Fullsack, “A numerical model for coupled fluid flow and matrix deformation with applications to disequilibrium compaction and delta stability”, Journal of Geophysical Research, 112 (2007), B10407 | DOI
[4] I. G. Akhmerova, A. A. Papin, M. A. Tokareva, Mathematical models of heterogeneous media, v. 1, Altai Gos. Univ., Barnaul, 2012 (in Russian)
[5] M. Simpson, M. Spiegelman, M. I. Weinstein, “Degenerate dispersive equations arising in the stady of magma dynamics”, Nonlinearity, 20 (2007), 21–49 | DOI | MR | Zbl
[6] A. M. Abourabia, K. M. Hassan, A. M. Morad, “Analytical solutions of the magma equations for molten rocks in a granular matrix”, Chaos Solutions Fract., 42 (2009), 1170–1180 | DOI | Zbl
[7] Y. Geng, L. Zhang, “Bifurcations of traveling wave solutions for the magma equation”, Applied Mathematics and computation, 217 (2010), 1741–1748 | DOI | MR | Zbl
[8] O. A. Ladyzhenskaya, V. A. Solonnikov, N. N. Ural'tseva, Linear and Quasilinear Equations of Parabolic Type, Nauka, M., 1967 (in Russian) | MR | Zbl
[9] A. A. Papin, I. G. Akhmerova, “Solvability of the system of equations of one-dimensional motion of a heat-conducting two-phase mixture”, Mathematical Notes, 87:2 (2010), 230–243 | DOI | MR | Zbl
[10] R. Edwards, Functional Analysis: Theory and Applications, New York, 1965 | MR
[11] S. N. Antontsev, A. V. Kazhikhov, V. N. Monakhov, Boundary-Value Problems of the Mechanics of Inhomogeneous Fluids, Nauka, Sibirskoe Otdelenie, Novosibirsk, 1983 (in Russian) | MR | Zbl