Russian

   Curriculum vitae
List of publications

630090, Novosibirsk-90,
pr. Koptyuga, 4,
Sobolev Institute of Mathematics

Phone: (383) 333-06-84
Fax: (383) 333-25-98
E-mail: blokhin@math.nsc.ru

List of publications

Monographs

1. Investigation of certain supersonic conical flows.
   Candidate of Science (=Ph.D.) in Mechanics of Liquid and Gas, Novosibirsk Institute of Theoretical and Applied Mechanics, Siberian Branch of Academy of Sciences, Novosibirsk, USSR, 1975, 100 pp.
   
   
2. Energy Integrals in Shock Wave Stability Problem.
   Novosibirsk, Institute of Mathematics, 1982, 176 pp.
   
   
3. Energy Integrals in the Problem of Shock Wave Stability.
   Doctor of Sciences, Novosibirsk Institute of Mathematics, Siberian Branch of Academy of Sciences, Novosibirsk, USSR, 1984, 300 pp.
   
   
4. Energy Integrals and their Applications to Gas Dynamics Problems.
   Novosibirsk, Nauka, 1986, 112 pp.
   
   
5. (with R. D. Alaev) Certain problems of Mathematical Modelling.
   Tashkent, State University, 1992, 112 pp.
   
   
6. (with I. Yu. Druzhinin) Strong Discontinuities in Magnetohydrodynamics.
   Novosibirsk, Nauka, 1993, 120 pp.
   
   
7. (with R. D. Alaev) Energy Integrals and their Applications to Investigation of Difference Schemes Stability.
   Novosibirsk, State University, 1993, 212 pp.
   
   
8. Strong Discontinuities in Magnetohydrodynamics.
   Nova Science Publishers, Inc., NY, 1993, 150 pp.
   
   
9. (with V. N. Dorovskii) Problems of Mathematical Modelling in Theory of Multivelocity Continuum.
   Novosibirsk, Nauka, 1994, 187 pp.
   
   
10. (with V. N. Dorovskii) Mathematical Modelling in the theory of Multivelocity Continuum.
    Nova Science Publishers, Inc., NY, 1995, 192 pp.
    
    
11. Fragments of Theory of Hyperbolic Systems and Equations.
    Novosibirsk, State University, 1995, 103 pp.
    
    
12. Blokhin A. M. (Editor) Mathematical Modelling and Differential Equations.
    Nova Science Publishers, Inc., NY, 1996, 360 pp.
    
    
13. Blokhin A. M. (Editor) Differential Equation Theory.  
    Nova Science Publishers, Inc., NY, 1996, 437 pp.
    
    
14. (with D. L. Tkachev) Mixed Problems for the Wave Equation in Coordinate Domains.
    Nova Science Publishers, Inc., NY, 1998, 133 pp.
    
    
15.  (with A. D. Birkin and V. R. Zimmerman) Mathematical Simulation in Gas Dynamics.  
    Nova Science Publishers, Inc., NY, 2001, 190 pp.
    
    
16.  Blokhin A. M. (Editor) Differential Equations and Mathematical Modelling.
    Nova Science Publishers, Inc., NY, 2001, 200 pp.
    
    
17.  (with Yu. L. Trakhinin) Stability of Strong Discontinuities in Magnetohydrodynamics and Electrohydrodynamics.
    Nova Science Publishers, Inc., NY, 2003, 300 pp.
    
    
18.  (with Yu. L. Trakhinin) Well-posedness of linear hyperbolic problems: theory and applications.
    Nova Science Publishers, Inc., NY, 2006, 164 pp.

Papers

1. Busemann' conical flow.
   Izv. Sib. Otd. Acad. Nauk SSSR, ser. techn. nauk, 1972. No.3, iss.1, pp. 34–38 (in Russian).
   
   
2. Numerical calculation of supersonic gas flows around noncircular cone.
   Izv. Sib. Otd. Acad. Nauk SSSR, ser. techn. nauk, 1974. No.3, iss.1, pp. 84–86 (in Russian).
   
   
3. (with E. I. Romenskii) Limiting stationary solution stability in the case of the flow around circular cone.
   Izv. Sib. Otd. Acad. Nauk SSSR, ser. techn. nauk, 1978.  No.13, iss.3, pp. 87–97 (in Russian).
   
   
4. Mixed problem for the acoustic equations with boundary conditions on the shock wave.
   Izv. Sib. Otd. Acad. Nauk SSSR, ser. techn. nauk, 1979. No.13, iss.3, pp. 25–33 (in Russian).
   
   
5. (with E. I. Romenskii) Influence of the limiting stationary solution on its settling.
   Izv. Sib. Otd. Acad. Nauk SSSR, ser. techn. nauk, 1980.  No.3, iss.1, pp. 44–55 (in Russian).
   
   
6. Estimate of the energy integral of the mixed problem for the gas dynamics equations with boundary conditions on the shock wave.
   Sib. Math. Journal, 1981. Vol. 22, No. 4, pp. 23–51 (in Russian).
   
   
7. Uniqueness of the classical solution of the mixed problem for the gas dynamics equations with boundary conditions on the shock wave.
   Sib. Math. Journal, 1982. Vol. 23, No. 5, pp. 17–30 (in Russian).
   
   
8. Well-posedness of a linear mixed problem on the supersonic flow.
   Sib. Math. Journal (translated from Russian), 1988.  Vol. 29, No. 5, pp. 726–734.
   
   
9. (with D. L. Tkachev) A mixed problem for the wave equation in a domain with an angle (scalar case).
   Sib. Math. Journal (translated from Russian), 1989. Vol. 30, No. 3, pp. 358–364.
   
   
10.  (with I. Yu. Druzhinin) Stability of shock waves in Magnetohydrodynamics.
    Sib. Math. Journal (translated from Russian), 1989. Vol. 30, No. 4, pp. 511–524.
    
    
11. (with R. D. Alaev) Stability investigation for a certain explicit difference scheme.
    Sib. Math. Journal (translated from Russian), 1990. Vol. 31, No. 1, pp. 26–30.
    
    
12. (with I. Yu. Druzhinin) Well-posedness of certain linear problems regarding the stability of strong gaps in Magnetohydrodynamics.
    Sib. Math. Journal (translated from Russian), 1990. Vol. 31, No. 2, pp. 187–191.
    
    
13. Some problems of Mathematical Modelling in Gas Dynamics.
    Numerical analysis and Mathematical Modelling, Banach Center Publications, Warsaw, 1990. Vol. 24, pp. 455–463 (in Russian).
    
    
14. (with I. Yu. Druzhinin and E. V. Mishchenko) Theory and computation of third order abberations for cathods systems, parts I, II.
    Sib. Advances in Math, 1992. Vol. 2, No. 3, pp. 1–52 and Vol. 2, No. 4, pp. 1–42.
    
    
15. A study of strong discontinuities stability in continuum Mechanics.
    Sib. J. of Diff. Eq, 1992. Vol. 1, No. 1, pp. 3–16.
    
    
16. (with V. R. Zimerman and A. A. Pozdeev) Method of lines for the equations of gas dynamics.
    Sib. J. of Diff. Eq, 1992. Vol. 1, No. 2, pp. 3–28.
    
    
17. (with D. L. Tkachev) Mixed problems for the wave equation in the domain with a corner.
    Sib. J. of Diff. Eq, 1992. Vol. 1, No. 3, pp. 3–35.
    
    
18. (with D. A. Krymskikh) Instability of temperature discontinuity in superliquid Helium.  
    Sib. J. of Diff. Eq, 1992. Vol. 1, No. 4, pp. 3–20.
    
    
19. Symmetrization of continuum mechanics equations.  
    Sib. J. of Diff. Eq, 1993. Vol. 2, No. 1, pp. 3–47.
    
    
20. (with D. A. Krymskikh) On equations of magnetohydrodynamics with anisotropic pressure.
    Sib. J. of Diff. Eq, 1993. Vol. 2, No. 2, pp. 3–38.
    
    
21. (with M. V. Gamolina) On obtaining a priori estimates in mixed problems for the multidimensional wave equation. 
    Sib. J. of Diff. Eq, 1993.  Vol. 2, No. 4, pp. 3–25.
    
    
22. (with E. V. Mishchenko) Investigation of shock waves stability in relativistic gas dynamics.
    Le Matematiche, 1993. Vol. XLVIII, Fasc. I, pp. 53–75.
    
    
23. (with Yu. L. Trakhinin) Rotational Discontinuity in Magnetohydrodynamics.
    Sib. Math. Journal (translated from Russian), 1993. Vol. 34, No. 3, pp. 395–411.
    
    
24. (with Yu. L. Trakhinin) On stability of shock waves in Magnetohydrodynamics with anisotropic pressure.
    Sib. Math. Journal (translated from Russian), 1993. Vol. 34, No. 6, pp. 10–22.
    
    
25. (with Yu. L. Trakhinin) Rotational Discontinuity in Magnetohydrodynamics with anisotropic pressure. I and II.
    Sib. Math. Journal (translated from Russian), 1994. Vol. 35, No. 1, pp. 9–20 and Vol. 35, No. 2, pp. 250–259.
    
    
26. (with V. R. Zimmerman) Study of a Difference-Differential Model for a linear problem of supersonic flow around a wеdge.
    Sib Advances in Math, 1994. Vol. 4, No. 1, pp. 1–17.
    
    
27. (with Yu. L. Trakhinin) Investigation of the well-posedness of the mixed problem on the stability of a fast shock waves in magnetohydrodynamics.
    Le Matematiche, 1994. Vol. XLIX, Fasc. I, pp. 1–21.
    
    
28. (with D. A. Krymskikh) Strong discontinuities in superliquid Helium.  
    Proceedings of Institute of Mathematics, Novosibirsk, 1994. Vol. 24,  pp. 20–62 (in Russian).
    
    
29. (with Yu. L. Trakhinin) Stability of Strong Discontinuities in Plasma with Anisotropic Pressure.
    J. Magnetohydrodynamics and Plasma Res., 1994. Vol. 4, No. 3/4, pp. 109–207.
    
    
30. (with A. D. Birkin) Investigation of Stability of Steady-State Regimes of Supersonic flow around a wedge.
    Applied mechanics and Technical physics, 1995. Vol. 36, No. 2, pp. 182–196 (in Russian).
    
    
31. (with Yu. L. Trakhinin) Investigation of the Stability of a fast magnetohydrodynamic shock wave in plasma with anisotropic pressure.
    Applied mechanics and Technical physics, 1995. Vol. 36, No. 4, pp. 16–35 (in Russian).
    
    
32. (with Yu. L. Trakhinin) Symmetrization of Radiation hydrodynamics equations and global resolving of Cauchy problem.
    Sib. Math. Journal, 1996, Vol. 37, No. 6, pp. 1256–1265.
    
    
33. (with Yu. L. Trakhinin) Stability of Shock Waves in Radiation Hydrodynamics.
    Applied mechanics and Technical physics, 1996, Vol. 37, No. 6, pp. 3–14.
    
    
34. (with A. D. Birkin) Global resolving of a problem on Supersonic flow around a wedge.
    Mathematical Modelling, 1996, Vol. 8, No. 4, pp. 89–104.
    
    
35. (with  V. Romano and Yu. L. Trakhinin) Some mathematical properties of radiating gas model obtained with a variable Eddington factor. 
    ZAMP, 1996, Vol. 47, pp. 639–658.
    
    
36. (with D. L. Tkachev ) A mixed problem for the wave equation in coordinate domains. I. Mixed problem for the wave equation in a quadrant.
    Computational Technology, 1996, Vol. 1, No 1, pp. 13–37.
    
    
37. (with D. L. Tkachev) A mixed problem for the wave equation in coordinate domains. II. Obtaining of a priori estimates in mixed problems of  multidimensional wave equation.
    Computational Technology, 1996, Vol. 1, No. 2, pp. 26–46.
    
    
38. (with  V. Romano and Yu. L. Trakhinin) Stability of Shock Waves in Relativistic Radiation Hydrodynamics.
    Annales de l'I.H. P. Physique Theorique, Vol. 67, No. 2, 1997, pp. 145–180.
    
    
39. (with D. A. Krymskikh) Numerical investigation of the hydrodynamic model equations for the charge transport in semiconductors.
    Mathematical Modelling, 1997, Vol. 9, No. 3, pp. 40–50.
    
    
40. (with I. Z. Merazhov and Yu. L. Trakhinin) Investigation on stability of Electrohydrodynamic shock waves.
    Le Matematiche, 1997, Vol. LII, Fasc. I, pp. 87–114.
    
    
41. (with I. Z. Merazhov and Yu. L. Trakhinin) About stability of shock waves in a continuum with a volume electric charge.
    Applied mechanics and Technical physics, 1998. Vol. 39, No. 2, pp. 29–39 (in Russian).
    
    
42. (with D. A. Krymskikh) The stability of numerical boundary treatment for finite-difference splitting scheme for the acoustics equations system.
    Computational Technology, 1998, Vol. 3, No. 1, pp. 40–54.
    
    
43. (with A. S. Bushmanova) About numerical investigation of the steady-state hydrodynamic model for charge transport in semiconductors.
    Computational Technology, 1998, Vol. 3, No. 3, pp. 3–14.
    
    
44. (with A. S. Bushmanova) Investigation of the stability of the equilibrium state for a gas dynamic model of charge transport in semiconductors.
    Siberian Journal of Industrial Mathematics, 1998, Vol. 1, No. 1, pp. 41–56. (in Russian).
    
    
45. (with Yu. L. Trakhinin) Stability of fast parallel and transversal MHD shock waves in plasma with pressure anisotropy.
    Acta Mechanica, Vol. 135, 1999, pp. 57–71.
    
    
46. (with Yu. L. Trakhinin) Stability of fast parallel MHD shock waves in polytropic gas.
    Eur. J. Mech. B/Fluids, 1999, Vol. 18, No. 2, pp. 197–211.
    
    
47. (with A. A. Iohrdanidy) Numerical investigation of a gas dynamic model for charge transport in semiconductors.
    The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Vol. 18, No. 1, 1999, pp. 6–37.
    
    
48. (with A. M. Anile and Yu. L. Trakhinin) Investigation of a mathematical model for Radiation Hydrodynamics.
    Z. Angew. Math. Phys, 1999, Vol. 50, pp. 677–697.
    
    
49. (with Yu. L. Trakhinin) Hyperbolic initial boundary value problems on the stability of strong discontinuities in continuum mechanics.
    International Series of Numerical Mathematics, 1999, Vol. 129, pp. 77–86.
    
    
50. A new concept of construction of adaptive calculation models for hyperbolic problems.
    NATO Science Series, Series C: Mathematical and  Physical Sciences, Vol. 536, 1999, pp. 23–64.
    
    
51. (with A. S. Bushmanova and V. Romano) About stability of the equilibrium state for a hydrodynamical model for charge transport in semiconductors.
    Computational Technologies, 1999, Vol. 4, N 3, pp. 16–35.
    
    
52. (with A. S. Bushmanova and E. V. Mishchenko) On solution of a nonlinear boundary value problem for a singularly perturbed differential equation.
    Computational Technologies, 1999, Vol. 4 , N 6, pp. 27-57.
    
    
53. (with I. G. Sokovikov) On a certain approach to constructing difference schemes for the guasilinear equations of gas dynamics.
    Sib. Math. Journal, 1999, Vol. 40, N 6, pp. 1236-1243.
    
    
54. (with A. S. Bushmanova) Asymptotic stability of the equilibrium state for the simplified gas dynamic model of charge transport in semiconductors.
    Siberian Journal of Industrial Mathematics, 1999, Vol. 2, N 2(4), pp. 15-23 (in Russian).
    
    
55. (with A. A. Shirnen) About stability of the shock waves for certain models of continuum.
    Siberian Journal of Industrial Mathematics, 2000, Vol. 3, N 1(5), pp. 33-46 (in Russian).
    
    
56. (with A. S. Bushmanova) Asymptotical stability of an equilibrium for a gasdynamical model of carrier transport in semiconductors.
    Sib. Math. Journal, 2000, Vol. 41, N 4, pp. 744-757.
    
    
57. (with E. V. Mishchenko). To the solutions of a stationary gas dynamics model of charge transfer in semiconductors.
    Computational Technologies, 2000, Vol. 5, N 5, pp. 3-25 (in Russian).
    
    
58. (with A. S. Bushmanova and V. Romano) Stability of the equilibrium state for a hydrodynamical model of charge transport in semiconductors.
    ZAMP, 2001, Vol. 52, pp. 476–499.
    
    
59. (with Yu. L. Trakhinin) On stability of shock waves in a compressible viscous heat conducting gas. 
    Acta Mechanica, Vol. 150, No. 3-4, 2001, pp. 267-275.
    
    
60. (with Yu. L. Trakhinin) Stability of Strong Discontinuities in Fluids and MHD.
    Handbook of mathematical fluid dynamics / edited by S. J. Friedlander, D. Serre, 2002, Vol. 1, pp. 545-652.
    
    
61. (with E. V. Ovechkin) The construction of modified symmetrizer for a single class of symmetrical systems.
    Vestnik. Quart. J. of Novosibirsk State Univ., Series: math., mech. and informatics, 2, No. 2, 2002, pp. 3-18 (in Russian).
    
    
62. (with А. А. Kargapoltseva) Asymptotic stability of the equilibrium state in the case of constant doping density.
    Siberian Journal of Industrial Mathematics, 2002, Vol. 5, N 1, pp. 3-7 (in Russian).
    
    
63. On stability of shock waves in a compressible viscous gas.
    Le Matematiche, 2002, 57(1), pp. 3-19.
    
    
64. (with I. G. Sokovikov) Symmetrization of a mathematical model of charge transport in semiconductors.
    Le Matematiche, 2002, 57(2), pp. 3-25.   
    
    
65. (with R. S. Bushmanov and V. Romano) Electron flow stability in bulk silicon in the limit of small electronic field.
    The Proceedings WASCOM, 2002, pp. 55-60.
    
    
66. (with R. S. Bushmanov and V. Romano) Asymptotic stability of the equilibrium state for the macroscopic balance equations of charge transport in semiconductors.
    Computational Technologies, 2003, Vol. 8, No. 3, pp. 7-22.
    
    
67. (with S. V. Dorovsky) Shock waves stability in layered structures.
    Comp. and Math. with Appl., 2004, 47, pp. 427-440.  
    
    
68. (with S. V. Dorovsky and E. V. Ovechkin) Stability of shock waves in layered structures. Part 2.
    Comp. and Math. with Appl., 2004, 47, pp. 1379-1387.  
    
    
69. (with Yu. L. Trakhinin) Stability of Strong Discontinuities in Fluids and MHD.
    Handbook of mathematical fluid dynamics / edited by S. J. Friedlander, D. Serre, 2002, Vol. 1, pp. 545-652.
    
    
70. (with E. V. Mishchenko) On an approach to studying the stability of shock waves in a viscous gas.
    Le Matematiche, 2003, 58(1), pp. 35-49.
    
    
71. (with Yu. L. Trakhinin) On a modified shock front problem for the compressible Navier-Stokes equations.
    Quarterly of Applied Mathematics, 2004, 62(2), pp. 221-234.
    
    
72. (with R. S. Bushmanov and V. Romano) Asymptotic stability of the equilibrium state for the hydrodynamical model of charge transport in semiconductors based on the maximum entropy principle.
    International Journal of Engineering Science, 2004, 42(8-9), pp. 915-934.
    
    
73. (with R. S. Bushmanov and V. Romano) Global existence for the system of the macroscopic balance equations of charge transport in semiconductors.
    Journal of Mathematical Analysis and Applications, 2005, Vol. 305, pp. 72-90.
    
    
74. (with R. S. Bushmanov) Global existence in ballistic diode problem for some simplified models of charge transport in semiconductors.
    Vestnik. Quart. J. of Novosibirsk State Univ., Series: math., mech. and informatics, 2004, Vol. 4, No. 3/4, pp. 3-16 (in Russian).
    
    
75. (with M. B. Dukenova) Shock waves in neutron substance.
    Vestnik. Quart. J. of Novosibirsk State Univ., Series: math., mech. and informatics, 2005, Vol. 5, No. 1, pp. 3-14 (in Russian).
    
    
76. (with R. S. Bushmanov and V. Romano) Asymptotic stability of the solutions of the hydrodynamical model of semiconductors based on the maximum entropy principle:  the case of bulk silicon.
    Proceedings of the conference “Applied and Industrial Mathematics in Italy”, edited by M. Primicerio, R. Spigler and V. Valente, World Scientific, 2005, pp. 155-166.
    
    
77. (with R. S. Bushmanov, A. S. Rudometova and V. Romano) Linear asymptotic stability of the equilibrium state for the 2-D MEP hydrodynamical model of charge transport in semiconductors.
    Nonlinear Analysis: Hybrid Systems and Applications, 2006, Vol. 65, pp. 1018-1038.
    
    
78. (with S. V. Dorovsky and V. N. Dorovsky) The potential of electrical prospecting in studying the stability of oil-water layered systems.
    Russian Geology and Geophysics, 2006, Vol. 47, No. 11, pp. 1165-1172.
    
    
79. (with I. G. Sokovikov) Entropy approximation for the system of moment equations describing charge transport in semiconductors.
    Le Matematiche, 2005, vol. LX, fasc. I, pp. 29-40.
    
    
80. (with D. L. Tkachev and L. O. Baldan) Study of the stability in the problem on flowing around a wedge. The case of strong wave.
    Journal of Mathematical Analysis and Applications, 2006, Vol. 319, pp. 248-277.
    
    
81. (with R. S. Bushmanov and V. Romano) Nonlinear asymptotic stability of the equilibrium state for the MEP model of charge transport in semiconductors.  
    Nonlinear Analysis, 2006, Vol. 65, pp. 2169-2191.
    
    
82. (with A. S. Ibragimova) On one version of the method of lines for symmetric t-hyperbolic systems.
    Computational Technologies, 2006, Vol. 11, No. 6, pp. 11-21 (in Russian).

Conference proceedings

1. Energy integrals in the theory of shock waves stability.
   Theses of International Mathematical Congress, Warsaw, 1982. pp. 43.
   
   
2. (with S. K. Godunov) Energy integrals in the theory of shock waves stability.
   Nonlinear Deformation waves, IUTAM Symposium, Tallinn, 1982. pp. 18–29.
   
   
3. (with R. D. Alaev) Energy integrals in the theory of shock waves stability.
   Proceedings of International Conference on partial differential equations, Novosibirsk, 1986. pp. 56–60 (in Russian).
   
   
4. (with Yu. L.Trakhinin) Investigation of Strong Discontinuities Stability in Magnetohydrodynamics and Radiation Hydrodynamics.
   Abstracts of International Conference of Advanced Mathematics, Computations and Applications, Novosibirsk, 1995. p. 50.
   
   
5. (with Yu. L.Trakhinin) Hyperbolic Initial Boundary Value Problems on the Stability of Strong Discontinuities in Continuum Mechanics.
   Seventh International Conference on Hyperbolic Problems: Theory, Numerics, Applications, ETH Zurich, February 9-13, 1998, Book of Abstracts. pp. 296–298.
   
   
6. (E. V. Mishchenko) On a potential in the problem on ballistic diode.
   VI Int. Conf “Differential Equations and their applications” Saint-Petersburg, 2001, Book of Abstracts, pp. 68-72.
   
   
7. (with D. L. Tkachev) Stability of flow with a strong shock around an infinite wedge.
   Abstracts of the international conference “Kolmogorov and contemporary mathematics”, 2003, pp. 730-731.
   
   
8. (with D. L. Tkachev and Yu. Yu. Pashinin) Stability of shock waves in the problem of flowing around an infinite planar wedge: the case of a strong shock.
   Abstracts of the conference “Eleventh International Conference on Hyperbolic Problems. Theory, Numerics, Applications”, Lyon, 2006, pp. 140-141.
   
   
9. (with D. V. Esipov and D. L. Tkachev) Well-posedness of a modified initial-boundary value problem on stability of shock waves in a viscous gas.
   Abstracts of the conference “Eleventh International Conference on Hyperbolic Problems. Theory, Numerics, Applications”, Lyon, 2006, pp. 65-67.
   
   
10. (E. V. Mishchenko)  On an approach to study of shock waves in viscous gas.
    Abstract of the Int. Congr. “Nonlinear dynamical analysis”, Saint-Petersburg,  2007, Book of Abstracts,  p. 261.
    
    
11. (D. L. Tkachev) Well-posedness of a modified mixed problem on stability of shock wave.
    Int. Conf. dedicated in memoriam to 100-th  anniversary of I. N. Vekua, Novosibirsk, 2007, Book of Abstracts, pp. 94-95.