Correctness of initial boundary-value problems for equations of two-phase mixture.
Main publications:
Papin A.A., “Soivability of model problem of heat and mass transfer in thawing snow”, Journal of Applaied Mecanics and Tecnical Phisics, 49:4 (2008), 527–536
A. N. Sibin, A. A. Papin, “Modeling the movement of a soluble impurity in melting snow”, Prikl. Mekh. Tekh. Fiz., 65:1 (2024), 58–69; J. Appl. Mech. Tech. Phys., 65:1 (2024), 50–60
2.
P. V. Gilev, A. A. Papin, “Filtration of two immiscible incompressible fluids”, Sib. Zh. Ind. Mat., 27:2 (2024), 20–33; J. Appl. Industr. Math., 18:2 (2024), 234–245
3.
A. A. Papin, M. A. Tokareva, “Solvability of a one-dimensional problem of fluid flow in poroelastic medium with permeable boundaries”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2024, no. 90, 140–151
2021
4.
Margarita A. Tokareva, Alexander A. Papin, “Mathematical model of fluids motion in poroelastic snow-ice cover”, J. Sib. Fed. Univ. Math. Phys., 14:1 (2021), 47–56
A. N. Sibin, A. A. Papin, “Heat and mass transfer in melting snow”, Prikl. Mekh. Tekh. Fiz., 62:1 (2021), 109–118; J. Appl. Mech. Tech. Phys., 62:1 (2021), 96–105
M. A. Tokareva, A. A. Papin, “On the existence of global solution of the system of equations of one-dimensional motion of a viscous liquid in a deformable viscous porous medium”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1397–1422
2020
7.
Alexander A. Papin, Margarita A. Tokareva, Rudolf A. Virts, “Filtration of liquid in a non-isothermal viscous porous medium”, J. Sib. Fed. Univ. Math. Phys., 13:6 (2020), 763–773
M. A. Tokareva, A. A. Papin, “Global solvability of a system of equations of one-dimensional motion of a viscous fluid in a deformable viscous porous medium”, Sib. Zh. Ind. Mat., 22:2 (2019), 81–93; J. Appl. Industr. Math., 13:2 (2019), 350–362
Konstantin A. Shishmarev, Alexander A. Papin, “Uniqueness of a solution of an ice plate oscillation problem in a channel”, J. Sib. Fed. Univ. Math. Phys., 11:4 (2018), 449–458
Alexander A. Papin, Margarita A. Tokareva, “On local solvability of the system of the equations of one dimensional motion of magma”, J. Sib. Fed. Univ. Math. Phys., 10:3 (2017), 385–395
V. A. Vaigant, A. A. Papin, “On the Uniqueness of the Solution of the Flow Problem with a Given Vortex”, Mat. Zametki, 96:6 (2014), 820–826; Math. Notes, 96:6 (2014), 871–877
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
A. A. Papin, “On the Uniqueness of the Solutions of an Initial Boundary-Value Problem for the System of a Heat-Conducting Two-Phase Mixture”, Mat. Zametki, 87:4 (2010), 636–640; Math. Notes, 87:4 (2010), 594–598
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
A. A. Papin, “Solvability of boundary problem for filtration of two interpenetrated viscous incompressible fluids in porous medium”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 9:2 (2009), 80–87
2008
18.
A. A. Papin, “Solvabilitity of a model problem of heat and mass transfer in thawing snow”, Prikl. Mekh. Tekh. Fiz., 49:4 (2008), 13–23; J. Appl. Mech. Tech. Phys., 49:4 (2008), 527–536
A. A. Papin, “Existence of a solution “in the large” of equations of the one-dimensional nonisothermal motion of a two-phase mixture. II. Results on solvability”, Sib. Zh. Ind. Mat., 9:3 (2006), 111–123; J. Appl. Industr. Math., 2:3 (2008), 367–378
20.
A. A. Papin, “Existence of a solution “in the large” of equations of the one-dimensional nonisothermal motion of a two-phase mixture. I. Formulation of the problem and auxiliary statements”, Sib. Zh. Ind. Mat., 9:2 (2006), 116–136; J. Appl. Industr. Math., 2:2 (2008), 231–251
A. A. Papin, A. P. Mazhirin, “Example of an exact solution of the problem of the distribution of an ionized impurity in the surface region of a semiconductor”, Prikl. Mekh. Tekh. Fiz., 39:4 (1998), 17–24; J. Appl. Mech. Tech. Phys., 39:4 (1998), 493–500
1979
22.
S. N. Antontsev, A. A. Papin, “Approximation methods of solving problems of two-phase filtration”, Dokl. Akad. Nauk SSSR, 247:3 (1979), 521–525
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