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Blokhin, Alexander Mikhajlovich
(1945–2020)
Professor
Doctor of physico-mathematical sciences (1984)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 11.11.1945
Keywords: hyperbolic systems, energy integrals, stability of strong discontinuities, numerical analysis, mathematical modelling in continuum mechanics, Sobolev-type system, weakened solution, local- and global-in-time existence, Lyapunov's asymptotic stability, stabilization method.

Subject:

The local (short-time) theorem on the existence and uniqueness of the classical solution to the quasilinear system of gas dynamics behind a shock wave was proved. The stability of strong discontinuities in different mathematical models of continuum mechanics was studied. The method of lines for gas dynamics was worked out and justified.

Biography

Graduated from Faculty of Mathematics and Mechanics of Novosibirsk State University (NSU) in 1970 (department of hydrodynamics and gas dynamics). Ph.D. thesis was defended in 1975. D.Sci. thesis was defended in 1984. A list of my works contains more than 100 titles, including 15 monographs. I lead the research seminar at NSU "Theoretical and computational problems in mathematical physics.
   
Main publications:
  • Blokhin A. M., Romano V., Trakhinin Yu. L. Stability of shock waves in relativistic radiation hydrodynamics // Ann. Inst. H. Poincare Phys. Theor. 67(1997), no. 2, 145–180.
  • Blokhin A. M., Trakhinin Yu. L. Stability of strong discontinuities in fluids and MHD // In: Handbook of Mathematical Fluid Dynamics, vol. 1 (S. Friedlander, D. Serre, eds.), Elsevier, 2002.

https://www.mathnet.ru/eng/person17843
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/202438

Publications in Math-Net.Ru Citations
2022
1. A. M. Blokhin, R. E. Semenko, “Search for stationary Poiseuille flows for an incompressible polymer fluid in channels with perforated walls”, Prikl. Mekh. Tekh. Fiz., 63:1 (2022),  33–41  mathnet  elib; J. Appl. Mech. Tech. Phys., 63:1 (2022), 26–63 1
2. A. M. Blokhin, D. L. Tkachev, “Lyapunov instability of stationary flows of a polymeric fluid in a channel with perforated walls”, Mat. Sb., 213:3 (2022),  3–20  mathnet  mathscinet  zmath; Sb. Math., 213:3 (2022), 283–299  isi  scopus 3
3. A. M. Blokhin, B. V. Semisalov, “Finding steady Poiseuille-type flows for incompressible polymeric fluids by the relaxation method”, Zh. Vychisl. Mat. Mat. Fiz., 62:2 (2022),  305–319  mathnet  elib; Comput. Math. Math. Phys., 62:2 (2022), 302–315  isi  scopus 2
2021
4. A. M. Blokhin, R. E. Semenko, “Studying of the relations on the flat strong discontinuity for the polymeric liquid”, Matem. Mod., 33:1 (2021),  89–104  mathnet; Math. Models Comput. Simul., 13:5 (2021), 798–809
5. A. M. Blokhin, D. L. Tkachev, “Линейная неустойчивость состояния покоя для МГД модели несжимаемой полимерной жидкости в случае абсолютной проводимости”, Mat. Tr., 24:1 (2021),  35–51  mathnet 1
6. A. M. Blokhin, R. E. Semenko, A. S. Rudometova, “Magnetohydrodynamic vortex motion of an incompressible polymeric fluid”, Sib. Zh. Ind. Mat., 24:1 (2021),  5–17  mathnet  elib; J. Appl. Industr. Math., 15:1 (2021), 7–16  scopus 1
2020
7. A. M. Blokhin, R. E. Semenko, “Stationary “von Karman” vortex structures in the magnetohydrodynamical flows of rotating incompressible polymeric liquid”, Matem. Mod., 32:7 (2020),  3–23  mathnet; Math. Models Comput. Simul., 13:2 (2021), 181–194
8. A. M. Blokhin, A. S. Rudometova, D. L. Tkachev, “An MHD model of an incompressible polymeric fluid: linear instability of a steady state”, Sib. Zh. Ind. Mat., 23:3 (2020),  16–30  mathnet  elib; J. Appl. Industr. Math., 14:3 (2020), 430–442  scopus
9. A. M. Blokhin, B. V. Semisalov, “Simulation of the stationary nonisothermal MHD flows of polymeric fluids in channels with interior heating elements”, Sib. Zh. Ind. Mat., 23:2 (2020),  17–40  mathnet  elib; J. Appl. Industr. Math., 14:2 (2020), 222–241  scopus 8
10. A. M. Blokhin, A. Yu. Goldin, “Derivation of linear and nonlinear acoustic systems for an incompressible viscoelastic polymer fluid”, Sib. Zh. Ind. Mat., 23:1 (2020),  16–27  mathnet; J. Appl. Industr. Math., 14:1 (2020), 9–19
11. A. M. Blokhin, D. L. Tkachev, “Stability of Poiseuille-type flows in an MHD model of an incompressible polymeric fluid”, Mat. Sb., 211:7 (2020),  3–23  mathnet  mathscinet  zmath  elib; Sb. Math., 211:7 (2020), 901–921  isi  scopus 11
12. A. M. Blokhin, A. Yu. Goldin, “Symmetrization of MHD equations of incompressible viscoelastic polymer fluid”, Zh. Vychisl. Mat. Mat. Fiz., 60:5 (2020),  873–883  mathnet  elib; Comput. Math. Math. Phys., 60:5 (2020), 853–863  isi  scopus
13. A. M. Blokhin, R. E. Semenko, “On linear instability of the state of rest of an incompressible polymer fluid in the presence of strong discontinuity”, Zh. Vychisl. Mat. Mat. Fiz., 60:4 (2020),  687–699  mathnet  elib; Comput. Math. Math. Phys., 60:4 (2020), 673–685  isi  scopus
2019
14. A. M. Blokhin, R. E. Semenko, “To the stability of a plane strong discontinuity with a polymer fluid flow through it with allowance for anisotropy”, Zh. Vychisl. Mat. Mat. Fiz., 59:10 (2019),  1752–1768  mathnet  elib; Comput. Math. Math. Phys., 59:10 (2019), 1693–1709  isi  scopus
2018
15. A. M. Blokhin, A. Yu. Goldin, “On the linear instability of incompressible polymeric liquid flows with strong discontinuity”, Zhurnal Tekhnicheskoi Fiziki, 88:10 (2018),  1506–1514  mathnet  elib; Tech. Phys., 63:10 (2018), 1459–1467
16. A. M. Blokhin, D. L. Tkachev, A. V. Yegitov, “Asymptotic formula for the spectrum of the linear problem describing periodic polymer flows in the infinite channel”, Prikl. Mekh. Tekh. Fiz., 59:6 (2018),  39–51  mathnet  elib; J. Appl. Mech. Tech. Phys., 59:6 (2018), 992–1003 7
17. A. M. Blokhin, R. E. Semenko, “Incompressible polymer fluid flow past a flat wedge”, Prikl. Mekh. Tekh. Fiz., 59:1 (2018),  39–48  mathnet  elib; J. Appl. Mech. Tech. Phys., 59:1 (2018), 32–40 2
18. A. M. Blokhin, D. L. Tkachev, A. V. Yegitov, “Local solvability of the problem of the van der Waals gas flow around an infinite plane wedge in the case of a weak shock wave”, Sibirsk. Mat. Zh., 59:6 (2018),  1214–1239  mathnet  elib; Siberian Math. J., 59:6 (2018), 960–982  isi  scopus 2
19. A. M. Blokhin, R. E. Semenko, “Stationary magnetohydrodynamical flows of non-isothermal polymeric liquid in the flat channel”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 11:4 (2018),  41–54  mathnet  elib 8
20. A. M. Blokhin, E. A. Kruglova, B. V. Semisalov, “Estimation of two error components in the numerical solution to the problem of nonisothermal flow of polymer fluid between two coaxial cylinders”, Zh. Vychisl. Mat. Mat. Fiz., 58:7 (2018),  1147–1163  mathnet  elib; Comput. Math. Math. Phys., 58:7 (2018), 1099–1115  isi  scopus 3
21. A. M. Blokhin, A. V. Yegitov, D. L. Tkachev, “Asymptotics of the spectrum of a linearized problem of the stability of a stationary flow of an incompressible polymer fluid with a space charge”, Zh. Vychisl. Mat. Mat. Fiz., 58:1 (2018),  108–122  mathnet  elib; Comput. Math. Math. Phys., 58:1 (2018), 102–117  isi  scopus 20
2017
22. A. M. Blokhin, A. S. Rudometova, “Stationary currents of a weakly conducting incompressible polymeric fluid between coaxial cylinders”, Sib. Zh. Ind. Mat., 20:4 (2017),  13–21  mathnet  elib; J. Appl. Industr. Math., 11:4 (2017), 486–493  scopus 4
23. A. M. Blokhin, R. E. Semenko, “Stationary electrohydrodynamic flows of incompressible polymeric media with strong discontinuity”, Sib. J. Pure and Appl. Math., 17:2 (2017),  3–12  mathnet; J. Math. Sci., 231:2 (2018), 143–152 5
24. A. M. Blokhin, R. E. Semenko, “Linear instability of the state of rest for an incompressible polymer liquid upon injection from the cathode and heating from the top”, Zh. Vychisl. Mat. Mat. Fiz., 57:11 (2017),  1831–1843  mathnet  elib; Comput. Math. Math. Phys., 57:11 (2017), 1796–1807  isi  scopus
25. A. M. Blokhin, E. A. Kruglova, B. V. Semisalov, “Steady-state flow of an incompressible viscoelastic polymer fluid between two coaxial cylinders”, Zh. Vychisl. Mat. Mat. Fiz., 57:7 (2017),  1184–1197  mathnet  elib; Comput. Math. Math. Phys., 57:7 (2017), 1181–1193  isi  scopus 2
2016
26. A. M. Blokhin, A. Yu. Goldin, “Construction of intermediate regions for a generalized van der Waals gas”, Zhurnal Tekhnicheskoi Fiziki, 86:12 (2016),  49–55  mathnet  elib; Tech. Phys., 61:12 (2016), 1813–1820 1
27. A. M. Blokhin, B. V. Semisalov, A. S. Shevchenko, “Stationary solutions of equations describing the nonisothermal flow of an incompressible viscoelastic polymeric fluid”, Matem. Mod., 28:10 (2016),  3–22  mathnet  elib 4
28. A. M. Blokhin, D. L. Tkachev, “Stability of a supersonic flow past a wedge with adjoint weak neutrally stable shock wave”, Mat. Tr., 19:2 (2016),  3–41  mathnet  elib; Siberian Adv. Math., 27:2 (2017), 77–102  scopus
29. A. M. Blokhin, R. E. Semenko, “On one model of a vortex motion of an incompressible polymeric fluid in the axial zone”, Sib. Zh. Ind. Mat., 19:1 (2016),  52–61  mathnet  mathscinet  elib; J. Appl. Industr. Math., 10:1 (2016), 69–77  scopus 2
30. A. M. Blokhin, A. Yu. Goldin, “On linear stability of an incompressible polymer liquid at rest”, Sib. J. Pure and Appl. Math., 16:4 (2016),  17–27  mathnet; J. Math. Sci., 230:1 (2018), 14–24 5
2015
31. A. M. Blokhin, A. S. Rudometova, “Stationary solutions to the equations describing the nonisothermic electrical convection of a weak-conductive incompressible polymeric fluid”, Sib. Zh. Ind. Mat., 18:1 (2015),  3–13  mathnet  mathscinet  elib; J. Appl. Industr. Math., 9:2 (2015), 147–156 20
32. A. M. Blokhin, D. L. Tkachev, A. V. Yegitov, “Linear instability of the solutions in mathematical model that describe flows of polymer in an infinite channel”, Yakutian Mathematical Journal, 22:2 (2015),  16–27  mathnet  elib
33. A. M. Blokhin, R. E. Semenko, “The flow of incompressible polymeric fluid between two coaxial cilinders”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 15:4 (2015),  24–34  mathnet; J. Math. Sci., 221:6 (2017), 798–807
34. A. M. Blokhin, A. V. Yegitov, D. L. Tkachev, “Linear instability of solutions in a mathematical model describing polymer flows in an infinite channel”, Zh. Vychisl. Mat. Mat. Fiz., 55:5 (2015),  850–875  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 55:5 (2015), 848–873  isi  elib  scopus 29
2014
35. A. M. Blokhin, B. V. Semisalov, “Numerical solution of a charge transport problem in DG-MOSFET”, Matem. Mod., 26:8 (2014),  126–148  mathnet
36. A. M. Blokhin, B. V. Semisalov, “A stationary flow of an incompressible viscoelastic polymeric fluid through a channel with elliptical cross section”, Sib. Zh. Ind. Mat., 17:4 (2014),  38–47  mathnet  mathscinet; J. Appl. Industr. Math., 9:1 (2015), 18–26 9
37. A. M. Blokhin, D. L. Tkachev, “Linear asymptotic instability of a stationary flow of a polymeric medium in a plane channel in the case of periodic perturbations”, Sib. Zh. Ind. Mat., 17:3 (2014),  13–25  mathnet  mathscinet; J. Appl. Industr. Math., 8:4 (2014), 467–478 23
38. N. V. Bambaeva, A. M. Blokhin, “Stationary solutions of equations of incompressible viscoelastic polymer liquid”, Zh. Vychisl. Mat. Mat. Fiz., 54:5 (2014),  845–870  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 54:5 (2014), 845–870  isi  elib  scopus 29
2013
39. A. M. Blokhin, N. V. Bambaeva, “The symmetrization of the equations of incompressible viscoelastic polymeric fluid”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 13:1 (2013),  24–31  mathnet  zmath; J. Math. Sci., 203:4 (2014), 436–443 2
40. A. M. Blokhin, B. V. Semisalov, “On an algorithm for finding the electric potential distribution in the DG-MOSFET transistor”, Zh. Vychisl. Mat. Mat. Fiz., 53:6 (2013),  979–1003  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 53:6 (2013), 798–822  isi  elib  scopus 2
2012
41. I. N. Kiselev, B. V. Semisalov, E. A. Biberdorf, R. N. Sharipov, A. M. Blokhin, F. A. Kolpakov, “Modular Modeling of the Human Cardiovascular System”, Mat. Biolog. Bioinform., 7:2 (2012),  703–736  mathnet 8
42. A. M. Blokhin, A. S. Bychkov, V. O. Myakishev, “Numerical analysis of the realizability of the conditions of neutral stability for shock waves in the problem of a flow past a wedge by a van der Waals gas”, Sib. Zh. Ind. Mat., 15:4 (2012),  51–63  mathnet  mathscinet; J. Appl. Industr. Math., 7:2 (2013), 131–141 6
43. A. M. Blokhin, D. L. Tkachev, “Regularity of the solution and well-posedness of a mixed problem for an elliptic system with quadratic nonlinearity in gradients”, Zh. Vychisl. Mat. Mat. Fiz., 52:10 (2012),  1866–1882  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 52:10 (2012), 1428–1444
2011
44. A. M. Blokhin, B. V. Semisalov, R. E. Semenko, “The numerical investigation of parametrical instability in layered structures”, Matem. Mod., 23:6 (2011),  81–97  mathnet  mathscinet
45. N. V. Bambaeva, A. M. Blokhin, “About the Question of $t$-Hyperbolicity of a Nonstationary System, Describing Flows of Polymeric Mediums”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 11:2 (2011),  3–14  mathnet; J. Math. Sci., 188:4 (2013), 333–343 4
46. A. M. Blokhin, D. L. Tkachev, “Justification of the stabilization method for a mathematical model of charge transport in semiconductors”, Zh. Vychisl. Mat. Mat. Fiz., 51:8 (2011),  1495–1517  mathnet  mathscinet; Comput. Math. Math. Phys., 51:8 (2011), 1395–1417  isi  scopus
2010
47. A. M. Blokhin, A. S. Ibragimova, “On calculation of the electric potential for 2D silicon transistor with a silicon oxide nanochannel”, Matem. Mod., 22:9 (2010),  79–94  mathnet  mathscinet; Math. Models Comput. Simul., 3:2 (2011), 245–256  scopus 3
48. A. M. Blokhin, B. V. Semisalov, “The construction of a class of numerical algorithms in the ballistic diode problem”, Matem. Mod., 22:7 (2010),  3–21  mathnet  mathscinet 2
49. A. M. Blokhin, I. A. Anufriev, “The well-posedness of the linearized problem of a supersonic stream over a wedge under arbitrary perturbations”, Sib. Zh. Ind. Mat., 13:1 (2010),  3–17  mathnet  mathscinet; J. Appl. Industr. Math., 4:4 (2010), 475–489
50. A. M. Blokhin, A. S. Ibragimova, B. V. Semisalov, “Construction of numerical algorithms for the ballistic diode problem”, Zh. Vychisl. Mat. Mat. Fiz., 50:1 (2010),  188–208  mathnet  mathscinet; Comput. Math. Math. Phys., 50:1 (2010), 180–200  isi  scopus 4
2009
51. A. M. Blokhin, A. S. Ibragimova, B. V. Semisalov, “Designing of computational algorithm for system of moment equations which describe charge transport in semiconductors”, Matem. Mod., 21:4 (2009),  15–34  mathnet  mathscinet  zmath 15
52. A. M. Blokhin, D. L. Tkachev, “Stability of a supersonic flow about a wedge with weak shock wave”, Mat. Sb., 200:2 (2009),  3–30  mathnet  mathscinet  zmath  elib; Sb. Math., 200:2 (2009), 157–184  isi  scopus 14
53. A. M. Blokhin, S. A. Boyarskiy, B. V. Semisalov, “On an Approach to the Construction of Difference Schemes for the Momentum Equations of Charge Transport in Semiconductors”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 9:4 (2009),  3–15  mathnet
54. A. M. Blokhin, R. E. Semenko, “Stability of the Layered Systems at the Presence of the Electric Current”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 9:1 (2009),  24–34  mathnet
2008
55. A. M. Blokhin, R. E. Semenko, “On the Stability of the Shock Waves at the Presence of the Electric Current”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 8:3 (2008),  26–50  mathnet 1
2007
56. A. M. Blokhin, E. V. Ovechkin, “The construction of modified symmetrizer for a single class of symmetrical systems”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 7:1 (2007),  9–28  mathnet 1
2005
57. A. M. Blokhin, M. B. Dukenova, “Shock waves in neutron medium”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 5:1 (2005),  3–14  mathnet
2002
58. A. M. Blokhin, A. A. Kargapol'tseva, “Asymptotic stability of the equilibrium state in the case of constant doping density”, Sib. Zh. Ind. Mat., 5:1 (2002),  3–7  mathnet  mathscinet  zmath
2000
59. A. M. Blokhin, A. A. Shirnen, “On the stability of shock waves”, Sib. Zh. Ind. Mat., 3:2 (2000),  23–28  mathnet  mathscinet  zmath
60. A. M. Blokhin, A. A. Shirnen, “On the stability of shock waves for some models of continuum mechanics”, Sib. Zh. Ind. Mat., 3:1 (2000),  33–46  mathnet  mathscinet  zmath
61. A. M. Blokhin, A. S. Dushmanova, “Asymptotical stability of an equilibrium for the gasdynamical model of carrier transport in semiconductors”, Sibirsk. Mat. Zh., 41:4 (2000),  744–757  mathnet  mathscinet  zmath; Siberian Math. J., 41:4 (2000), 614–625  isi 1
1999
62. A. M. Blokhin, A. S. Dushmanova, “Asymptotic stability of the equilibrium state for a simplified gas dynamic model of charge transport in semiconductors”, Sib. Zh. Ind. Mat., 2:2 (1999),  15–23  mathnet  mathscinet  zmath
63. A. M. Blokhin, A. D. Birkin, “Global solvability of the piston problem”, Sib. Zh. Ind. Mat., 2:1 (1999),  13–24  mathnet  mathscinet  zmath
64. A. M. Blokhin, I. G. Sokovikov, “On an approach to the construction of difference schemes for quasilinear equations of gas dynamics”, Sibirsk. Mat. Zh., 40:6 (1999),  1236–1243  mathnet  mathscinet  zmath; Siberian Math. J., 40:6 (1999), 1044–1050  isi 5
65. A. M. Blokhin, A. A. Iordanidi, “Stability of the equilibrium state for a hydrodynamic model of charge transport in semiconductors”, Sibirsk. Mat. Zh., 40:5 (1999),  1012–1022  mathnet  mathscinet  zmath; Siberian Math. J., 40:5 (1999), 851–861  isi
1998
66. A. M. Blokhin, Yu. L. Trakhinin, I. Z. Merazhov, “On the stability of shock waves in a continuous medium with a space charge”, Prikl. Mekh. Tekh. Fiz., 39:2 (1998),  29–39  mathnet; J. Appl. Mech. Tech. Phys., 39:2 (1998), 184–193 3
67. A. M. Blokhin, A. S. Dushmanova, “Investigation of the stability of the equilibrium state for a gas dynamic model of charge transport in semiconductors”, Sib. Zh. Ind. Mat., 1:1 (1998),  41–56  mathnet  mathscinet  zmath
1997
68. A. M. Blokhin, D. A. Krymskikh, “Numerical investigation of the hydrodynamic model equations of charge transport in semiconductors”, Matem. Mod., 9:3 (1997),  40–50  mathnet  zmath
1996
69. A. M. Blokhin, A. D. Birkin, “Global resolving of the problem of supersonic flow around a cone”, Matem. Mod., 8:4 (1996),  89–104  mathnet  mathscinet  zmath 4
70. A. M. Blokhin, Yu. L. Trakhinin, “Shock-wave stability for one model of radiation hydrodynamics”, Prikl. Mekh. Tekh. Fiz., 37:6 (1996),  3–14  mathnet; J. Appl. Mech. Tech. Phys., 37:6 (1996), 775–784 1
71. A. M. Blokhin, Yu. L. Trakhinin, “Symmetrization of a system of equations of radiative hydrodynamics, and global solvability of the Cauchy problem”, Sibirsk. Mat. Zh., 37:6 (1996),  1256–1265  mathnet  mathscinet  zmath; Siberian Math. J., 37:6 (1996), 1101–1109  isi 3
1995
72. A. M. Blokhin, Yu. L. Trakhinin, “Stability of a fast magnetohydrodynamic shock wave in plasma with anisotropic pressure”, Prikl. Mekh. Tekh. Fiz., 36:4 (1995),  16–35  mathnet; J. Appl. Mech. Tech. Phys., 36:4 (1995), 496–512
73. A. M. Blokhin, A. D. Birkin, “Stability analysis of steady supersonic flow regimes past infinite wedge”, Prikl. Mekh. Tekh. Fiz., 36:2 (1995),  182–196  mathnet; J. Appl. Mech. Tech. Phys., 36:2 (1995), 308–321 1
1994
74. A. M. Blokhin, D. A. Krymskikh, “Strong discontinuities in a superfluid”, Trudy Inst. Mat. SO RAN, 24 (1994),  20–62  mathnet  mathscinet  zmath
75. A. M. Blokhin, Yu. L. Trakhinin, “Rotational discontinuity in magnetohydrodynamics with anisotropic pressure. II”, Sibirsk. Mat. Zh., 35:2 (1994),  278–287  mathnet  mathscinet  zmath; Siberian Math. J., 35:2 (1994), 250–259  isi 1
76. A. M. Blokhin, Yu. L. Trakhinin, “Rotational discontinuity in magnetohydrodynamics with anisotropic pressure. I”, Sibirsk. Mat. Zh., 35:1 (1994),  12–23  mathnet  mathscinet  zmath; Siberian Math. J., 35:1 (1994), 9–20  isi 1
1993
77. A. M. Blokhin, Yu. L. Trakhinin, “On stability of shock waves in magnetohydrodynamics with anisotropic pressure”, Sibirsk. Mat. Zh., 34:6 (1993),  10–22  mathnet  mathscinet  zmath; Siberian Math. J., 34:6 (1993), 1005–1016  isi 3
78. A. M. Blokhin, Yu. L. Trakhinin, “Rotational discontinuity in magnetohydrodynamics”, Sibirsk. Mat. Zh., 34:3 (1993),  3–18  mathnet  mathscinet  zmath; Siberian Math. J., 34:3 (1993), 395–411  isi 6
1992
79. A. M. Blokhin, V. R. Tsimerman, “A study of a differential-difference model for a linear mixed problem of supersonic flow around a wedge”, Trudy Inst. Mat. SO RAN, 22 (1992),  43–55  mathnet  mathscinet  zmath
80. A. M. Blokhin, A. A. Pozdeev, V. R. Tsimerman, “The method of lines for equations of gas dynamics: theoretical justification and numerical experiments”, Trudy Inst. Mat. SO RAN, 22 (1992),  22–43  mathnet  mathscinet  zmath
1990
81. A. M. Blokhin, I. Yu. Druzhinin, E. V. Mishchenko, “Theory and computation of third-order aberrations of cathode systems”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 18 (1990),  3–75  mathnet  mathscinet  zmath
82. A. M. Blokhin, I. Yu. Druzhinin, “Well-posedness of some linear problems on the stability of strong discontinuities in magnetohydrodynamics”, Sibirsk. Mat. Zh., 31:2 (1990),  3–8  mathnet  mathscinet  zmath; Siberian Math. J., 31:2 (1990), 187–191  isi 3
83. A. M. Blokhin, R. D. Alaev, “Stability investigation for a certain explicit difference scheme”, Sibirsk. Mat. Zh., 31:1 (1990),  34–38  mathnet  mathscinet  zmath; Siberian Math. J., 31:1 (1990), 26–30  isi 1
1989
84. A. M. Blokhin, I. Yu. Druzhinin, “Stability of shock waves in magnetohydrodynamics”, Sibirsk. Mat. Zh., 30:4 (1989),  13–29  mathnet  mathscinet  zmath; Siberian Math. J., 30:4 (1989), 511–524  isi 3
85. A. M. Blokhin, D. L. Tkachev, “A mixed problem for the wave equation in a domain with a corner (the scalar case)”, Sibirsk. Mat. Zh., 30:3 (1989),  16–23  mathnet  mathscinet  zmath; Siberian Math. J., 30:3 (1989), 358–364  isi 1
1988
86. A. M. Blokhin, “Application of difference analogues of dissipative energy integrals to the investigation of the stability of difference schemes”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 11 (1988),  67–93  mathnet  mathscinet
87. A. M. Blokhin, “The well-posedness of a linear mixed problem on supersonic flow around a wedge”, Sibirsk. Mat. Zh., 29:5 (1988),  48–58  mathnet  mathscinet  zmath; Siberian Math. J., 29:5 (1988), 726–734  isi 2
1982
88. A. M. Blokhin, “Uniqueness of the classical solution of a mixed problem for equations of gas dynamics with boundary conditions on a shock wave”, Sibirsk. Mat. Zh., 23:5 (1982),  17–30  mathnet  mathscinet  zmath; Siberian Math. J., 23:5 (1982), 604–615  isi 7
1981
89. A. M. Blokhin, “Estimation of the energy integral of a mixed problem for gas dynamics equations with boundary conditions on the shock wave”, Sibirsk. Mat. Zh., 22:4 (1981),  23–51  mathnet  mathscinet  zmath; Siberian Math. J., 22:4 (1981), 501–523  isi 11

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