S.V. Golovin, V.I. Isaev, A.N. Baykin, D.S. Kuznetsov, A.E. Mamontov, “Hydraulic fracture numerical model free of explicit tip tracking”, International Journal of Rock Mechanics and Mining Sciences, 76, June (2015), 174–181
A.E. Mamontov, D.A. Prokudin, “Viscous compressible multi-fluids: modeling and multi-D existence”, Methods and Applications of Analysis, 20:2 (2013), 179–195
A.E. Mamontov, “On the uniqueness of solutions to boundary value problems for non-stationary Euler equations”, New directions in mathematical fluid mechanics, The Alexander V. Kazhikhov Memorial Volume, Advances in Mathematical Fluid Mechanics, Birkhäuser Verlag, Basel, 2009, 281–299
A.E. Mamontov, “Global Regularity Estimates for Multidimensional Equations of Compressible Non-Newtonian Fluids”, Annali dellUniversita Di Ferrara (Nuova Serie), Sezione VII, Scienze Matematiche, XLVI (2000), 139–160
See also similar Russian list and the list of main publications from the MathNet base
A. E. Mamontov, D. A. Prokudin, “Stationary solutions of a boundary value problem for equations of barotropic flow of multicomponent media”, Sib. Èlektron. Mat. Izv., 20:2 (2023), 1490–1498
2.
A. E. Mamontov, D. A. Prokudin, “Existence of solutions of the boundary value problem for the equations of barotropic flows of a multicomponent medium. I. Statement of the main problem. Solvability of an auxiliary problem”, J. Appl. Industr. Math., 17:4 (2023), 802–814
2022
3.
A. E. Mamontov, D. A. Prokudin, “Statsionarnye resheniya kraevoi zadachi dlya uravnenii barotropnogo techeniya mnogokomponentnykh sred”, Sib. elektron. matem. izv., 19:2 (2022), 959-971
2021
4.
A. E. Mamontov, D. A. Prokudin, “Solubility of unsteady equations of the three-dimensional motion of two-component viscous compressible heat-conducting fluids”, Izv. Math., 85:4 (2021), 755–812
5.
A. E. Mamontov, D. A. Prokudin, “Global unique solvability of an initial-boundary value problem for the one-dimensional barotropic equations of binary mixtures of viscous compressible fluids”, J. Appl. Industr. Math., 15:1 (2021), 50–61
6.
A. E. Mamontov, D. A. Prokudin, “Local solvability of an approximate problem for one-dimensional equations of dynamics of viscous compressible heat-conducting multifluids”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 931–950
2020
7.
A. E. Mamontov, D. A. Prokudin, “Galerkin approximations in the problem of one-dimensional unsteady motion of a viscous compressible two-component fluid”, Sib. elektron. matem. izv., 17 (2020), 406–415
8.
A. E. Mamontov, D. A. Prokudin, “Passage to the limit in the Galerkin approximations of the regularized problem of three-dimensional unsteady motion of a viscous compressible heat-conducting multifluid”, Sib. Èlektron. Mat. Izv., 17 (2020), 227–259
9.
A. E. Mamontov, D. A. Prokudin, “One-dimensional multicomponent hemodynamics”, Sib. Èlektron. Mat. Izv., 17 (2020), 1975–1989
2019
10.
A. E. Mamontov, D. A. Prokudin, “Global estimates and solvability of the regularized problem of the three-dimensional unsteady motion of a viscous compressible heat-conductive multifluid”, Sib. Èlektron. Mat. Izv., 16 (2019), 547–590
2018
11.
A. E. Mamontov, D. A. Prokudin, “Solubility of unsteady equations of multi-component viscous compressible fluids”, Izv. Math., 82:1 (2018), 140–185
12.
A. E. Mamontov, D. A. Prokudin, “Unique solvability of initial-boundary value problem for one-dimensional equations of polytropic flows of multicomponent viscous compressible fluids”, Sib. elektron. matem. izv., 15 (2018), 631–649
A. E. Mamontov, D. A. Prokudin, “Viscous compressible homogeneous multi-fluids with multiple velocities: barotropic existence theory”, Sib. elektron. matem. izv., 14 (2017), 388–397
A. E. Mamontov, D. A. Prokudin, “Existence of weak solutions to the three-dimensional problem of steady barotropic motions of mixtures of viscous compressible fluids”, Siberian Math. J., 58:1 (2017), 113–127
2018
15.
A. E. Mamontov, D. A. Prokudin, “Local solvability of the initial-boundary value problem for one-dimensional equations of polytropic flows of viscous compressible multifluids”, J. Math. Sci., 231:2 (2018), 227–242
2016
16.
A. E. Mamontov, D. A. Prokudin, “Solubility of steady boundary value problem for the equations of polytropic motion of multicomponent viscous compressible fluids”, Sib. Èlektron. Mat. Izv., 13 (2016), 664–693
17.
A. E. Mamontov, D. A. Prokudin, “Solubility of initial boundary value problem for the equations of polytropic motion of multicomponent viscous compressible fluids”, Sib. Èlektron. Mat. Izv., 13 (2016), 541–583
18.
A. E. Mamontov, D. A. Prokudin, “Solvability of the regularized steady problem of the spatial motions of multicomponent viscous compressible fluids”, Siberian Math. J., 57:6 (2016), 1044–1054
2014
19.
A. E. Mamontov, D. A. Prokudin, “Solubility of a stationary boundary-value problem for the equations of motion of a one-temperature mixture of viscous compressible heat-conducting fluids”, Izv. Math., 78:3 (2014), 554–579
2012
20.
N. A. Kucher, A. E. Mamontov, D. A. Prokudin, “Stationary solutions to the equations of dynamics of mixtures of heat-conductive compressible viscous fluids”, Siberian Math. J., 53:6 (2012), 1075–1088
2011
21.
A. E. Mamontov, M. I. Uvarovskaya, “On the Global Solvability of the Two-Dimensional Through-Flow Problem for the Euler Equations with Unbounded Vorticity at the Entrance”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 11:4 (2011), 69–77
2009
22.
A. E. Mamontov, “Global solvability of the multidimensional equations of compressible non-Newtonian fluids, transport equation and the Orlicz spaces”, Sib. Èlektron. Mat. Izv., 6 (2009), 120–165
2008
23.
A. E. Mamontov, M. I. Uvarovskaya, “Nonstationary ideal incompressible fluid flows: Conditions of existence and uniqueness of solutions”, J. Appl. Mech. Tech. Phys., 49:4 (2008), 629–641
2007
24.
A. E. Mamontov, “Existence of Global Solutions to Multidimensional Equations for Bingham Fluids”, Math. Notes, 82:4 (2007), 501–517
2006
25.
A. E. Mamontov, “Integral representations and transforms of $N$-functions. II”, Siberian Math. J., 47:4 (2006), 669–686
26.
A. E. Mamontov, “Integral representations and transforms of $N$-functions. I”, Siberian Math. J., 47:1 (2006), 97–116
27.
A. E. Mamontov, “The scales of spaces $L_p$ and their connection with Orlicz spaces”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 6:2 (2006), 33–56
2000
28.
A. E. Mamontov, “Global regularity estimates for multidimensional equations of compressible non-Newtonian fluids”, Math. Notes, 68:3 (2000), 312–325
1999
29.
A. E. Mamontov, “Existence of global solutions of multidimensional Burgers's equations of a compressible viscous fluid”, Sb. Math., 190:8 (1999), 1131–1150
30.
A. E. Mamontov, “On the global solvability of the multidimensional Navier–Stokes equations of a nonlinearly viscous fluid. II”, Siberian Math. J., 40:3 (1999), 541–555
31.
A. E. Mamontov, “On the global solvability of the multidimensional Navier–Stokes equations of a nonlinearly viscous fluid. I”, Siberian Math. J., 40:2 (1999), 351–362
1998
32.
A. V. Kazhikhov, A. E. Mamontov, “On a class of convex functions and exact classes of wellposedness of the Cauchy problem for the transport equation in Orlicz spaces”, Siberian Math. J., 39:4 (1998), 716–734
1996
33.
A. E. Mamontov, “Well-posedness of a quasistationary model of a viscous compressible fluid”, Siberian Math. J., 37:5 (1996), 983–996
2023
