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Kazakov, Aleksandr Leonidovich
Main Scientist Researcher
Doctor of physico-mathematical sciences
E-mail: , ,

https://www.mathnet.ru/eng/person29389
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/607706
https://elibrary.ru/author_items.asp?spin=8101-9424
https://orcid.org/0000-0002-3047-1650

Publications in Math-Net.Ru Citations
2025
1. A. L. Kazakov, A. A. Lempert, D. Nguyen, “On the method of packing geodesic circles into a spherical segment using a plane projection”, Izv. IMI UdGU, 65 (2025),  36–53  mathnet
2. A. L. Kazakov, L. F. Spevak, “Exact and approximate solutions to the quasilinear parabolic system “predator-prey” with zero fronts”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 240 (2025),  19–28  mathnet
3. A. L. Kazakov, L. F. Spevak, “Analytical and numerical solutions to the problem of diffusion wave initiation for a quasilinear parabolic system”, Prikl. Mekh. Tekh. Fiz., 66:3 (2025),  217–229  mathnet  elib
4. Ming-Gong Lee, Hung-Tsai Huang, Zi-Cai Li, A. L. Kazakov, “Error analysis of the null field method for Laplace’s equation on circular domains with circular holes: source nodes just on domain boundaries”, Comput. Math. Math. Phys., 65:1 (2025), 161–179  mathnet
2024
5. Alexander L. Kazakov, Anna A. Lempert, Duc Minh Nguyen, “On covering of cylindrical and conical surfaces with equal balls”, Bulletin of Irkutsk State University. Series Mathematics, 48 (2024),  34–48  mathnet
6. A. L. Kazakov, L. F. Spevak, “On one class of exact solutions of the multidimensional nonlinear heat equation with a zero front”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 234 (2024),  59–66  mathnet
7. A. L. Kazakov, L. F. Spevak, “Diffusion wave initiation problem for a nonlinear parabolic system in the case of spherical and cylindrical symmetry”, Prikl. Mekh. Tekh. Fiz., 65:4 (2024),  97–108  mathnet  elib; J. Appl. Mech. Tech. Phys., 65:4 (2024), 677–687
8. A. L. Kazakov, “Solutions with a zero front to the quasilinear parabolic heat equation”, Trudy Inst. Mat. i Mekh. UrO RAN, 30:2 (2024),  86–102  mathnet  elib
9. A. A. Lempert, M. Zharkov, A. L. Kazakov, G. Vu, “Modeling of a sea container terminal using a queuing network”, UBS, 112 (2024),  310–337  mathnet
10. A. L. Kazakov, O. A. Nefedova, L. F. Spevak, “Solution to a two-dimensional nonlinear parabolic heat equation subject to a boundary condition specified on a moving manifold”, Zh. Vychisl. Mat. Mat. Fiz., 64:2 (2024),  283–303  mathnet  elib; Comput. Math. Math. Phys., 64:2 (2024), 266–284 2
2023
11. O. A. Nefedova, L. F. Spevak, A. L. Kazakov, Lee Ming-Gong, “Solution to a two-dimensional nonlinear heat equation using null field method”, Computer Research and Modeling, 15:6 (2023),  1449–1467  mathnet 1
12. A. L. Kazakov, P. A. Kuznetsov, L. F. Spevak, “On some zero-front solutions of an evolution parabolic system”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 224 (2023),  80–88  mathnet
13. A. L. Kazakov, P. A. Kuznetsov, L. F. Spevak, “The Problem of Diffusion Wave Initiation for a Nonlinear Second-Order Parabolic System”, Trudy Inst. Mat. i Mekh. UrO RAN, 29:2 (2023),  67–86  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 321, suppl. 1 (2023), S109–S126  scopus 2
2022
14. A. L. Kazakov, A. A. Lempert, “Solutions of the second-order nonlinear parabolic system modeling the diffusion wave motion”, Bulletin of Irkutsk State University. Series Mathematics, 42 (2022),  43–58  mathnet
15. P. D. Lebedev, A. A. Lempert, A. L. Kazakov, “Algorithms of optimal covering of 2D sets with dynamical metrics”, Izv. IMI UdGU, 60 (2022),  58–72  mathnet 1
16. A. L. Kazakov, P. A. Kuznetsov, L. F. Spevak, “Construction of solutions to a degenerate reaction-diffusion system with a general nonlinearity in the cases of cylindrical and spherical symmetry”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 213 (2022),  54–62  mathnet
17. A. L. Kazakov, L. F. Spevak, “Solutions to a nonlinear degenerating reaction–diffusion system of the type of diffusion waves with two fronts”, Prikl. Mekh. Tekh. Fiz., 63:6 (2022),  104–115  mathnet  elib; J. Appl. Mech. Tech. Phys., 63:6 (2022), 995–1004 2
18. A. L. Kazakov, A. A. Lempert, “Exact solutions of diffusion wave type for a nonlinear second-order parabolic equation with degeneration”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:3 (2022),  114–128  mathnet  elib 2
2021
19. A. L. Kazakov, P. A. Kuznetsov, “Analytical diffusion wave-type solutions to a nonlinear parabolic system with cylindrical and spherical symmetry”, Bulletin of Irkutsk State University. Series Mathematics, 37 (2021),  31–46  mathnet  isi 1
20. A. L. Kazakov, A. A. Lempert, “On the route construction in changing environments using solutions of the eikonal equation”, Izv. IMI UdGU, 58 (2021),  59–72  mathnet
21. A. L. Kazakov, P. A. Kuznetsov, L. F. Spevak, “On solutions of the traveling wave type for the nonlinear heat equation”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 196 (2021),  36–43  mathnet  elib 1
22. A. L. Kazakov, L. F. Spevak, “Exact and approximate solutions to the degenerated reaction–diffusion system”, Prikl. Mekh. Tekh. Fiz., 62:4 (2021),  169–180  mathnet  elib; J. Appl. Mech. Tech. Phys., 62:4 (2021), 673–683 6
23. A. L. Kazakov, L. F. Spevak, “Exact and approximate solutions of a problem with a special feature for a convection-diffusion equation”, Prikl. Mekh. Tekh. Fiz., 62:1 (2021),  22–31  mathnet  elib; J. Appl. Mech. Tech. Phys., 62:1 (2021), 18–26 2
24. M. G. Lee, L. P. Zhang, Z. C. Li, A. L. Kazakov, “Dual null field method for Dirichlet problems of Laplace's equation in circular domains with circular holes”, Sib. Èlektron. Mat. Izv., 18:1 (2021),  393–422  mathnet  isi 3
25. A. L. Kazakov, P. A. Kuznetsov, L. F. Spevak, “Construction of solutions to the boundary value problem with singularity for a nonlinear parabolic system”, Sib. Zh. Ind. Mat., 24:4 (2021),  64–78  mathnet; J. Appl. Industr. Math., 15:4 (2021), 616–626 7
26. P. D. Lebedev, A. L. Kazakov, “Iterative algorithms for constructing the thinnest coverings of convex polyhedra by sets of different balls”, Trudy Inst. Mat. i Mekh. UrO RAN, 27:1 (2021),  116–129  mathnet  elib
2020
27. A. L. Kazakov, L. F. Spevak, “Approximate and exact solutions to the singular nonlinear heat equation with a common type of nonlinearity”, Bulletin of Irkutsk State University. Series Mathematics, 34 (2020),  18–34  mathnet 2
28. A. L. Kazakov, P. D. Lebedev, A. A. Lempert, “On covering bounded sets by collections of circles of various radii”, Bulletin of Irkutsk State University. Series Mathematics, 31 (2020),  18–33  mathnet  isi 1
29. Alexander L. Kazakov, Lev F. Spevak, Lee Ming-Gong, “On the construction of solutions to a problem with a free boundary for the non-linear heat equation”, J. Sib. Fed. Univ. Math. Phys., 13:6 (2020),  694–707  mathnet  isi 2
30. P. D. Lebedev, A. L. Kazakov, A. A. Lempert, “Numerical methods for the construction of packings of different balls into convex compact sets”, Trudy Inst. Mat. i Mekh. UrO RAN, 26:2 (2020),  173–187  mathnet  elib
31. A. L. Kazakov, A. A. Lempert, Trung Thanh Ta, “On unequal balls packing problem in three-dimensional space”, UBS, 87 (2020),  47–66  mathnet
32. A. L. Kazakov, A. A. Lempert, Trung Thanh Ta, “An algorithm for packing balls of two types in a three-dimensional set with a non-euclidean metric”, Num. Meth. Prog., 21:2 (2020),  152–163  mathnet 1
33. A. L. Kazakov, P. A. Kuznetsov, “Exact solutions of the nonlinear heat conduction model”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 13:4 (2020),  33–47  mathnet
2019
34. A. L. Kazakov, “Construction and investigation of exact solutions with free boundary to a nonlinear heat equation with source”, Mat. Tr., 22:2 (2019),  54–75  mathnet; Siberian Adv. Math., 30:2 (2020), 91–105  scopus 5
35. A. L. Kazakov, A. A. Lempert, A. B. Stolbov, B. G. Saneev, S. P. Popov, “Principles of creating technology for modeling and forecasting the development of regional fuel and energy complexes of Russia and Mongolia in respect the energy cooperation between the two countries”, Program Systems: Theory and Applications, 10:4 (2019),  3–24  mathnet
36. A. L. Kazakov, “On exact solutions to a heat wave propagation boundary-value problem for a nonlinear heat equation”, Sib. Èlektron. Mat. Izv., 16 (2019),  1057–1068  mathnet 21
37. P. D. Lebedev, A. L. Kazakov, “Construction of optimal covers by disks of different radii for convex planar sets”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:2 (2019),  137–148  mathnet  elib 3
38. A. L. Kazakov, A. A. Lempert, Q. M. Le, “On multiple coverings and packings problems in a two-dimensional non-Euclidean space”, UBS, 81 (2019),  6–25  mathnet 1
39. A. L. Kazakov, O. A. Nefedova, L. F. Spevak, “Solution of the problem of initiating the heat wave for a nonlinear heat conduction equation using the boundary element method”, Zh. Vychisl. Mat. Mat. Fiz., 59:6 (2019),  1047–1062  mathnet  elib; Comput. Math. Math. Phys., 59:6 (2019), 1015–1029  isi  scopus 20
2018
40. A. L. Kazakov, P. A. Kuznetsov, L. F. Spevak, “On a three-dimensional heat wave generated by boundary condition specified on a time-dependent manifold”, Bulletin of Irkutsk State University. Series Mathematics, 26 (2018),  16–34  mathnet 1
41. A. L. Kazakov, P. A. Kuznetsov, “On analytic solutions of the problem of heat wave front movement for the nonlinear heat equation with source”, Bulletin of Irkutsk State University. Series Mathematics, 24 (2018),  37–50  mathnet
42. A. L. Kazakov, P. A. Kuznetsov, “On the analytic solutions of a special boundary value problem for a nonlinear heat equation in polar coordinates”, Sib. Zh. Ind. Mat., 21:2 (2018),  56–65  mathnet  elib; J. Appl. Industr. Math., 12:2 (2018), 255–263  elib  scopus 21
43. A. L. Kazakov, Sv. S. Orlov, S. S. Orlov, “Construction and study of exact solutions to a nonlinear heat equation”, Sibirsk. Mat. Zh., 59:3 (2018),  544–560  mathnet  elib; Siberian Math. J., 59:3 (2018), 427–441  isi  elib  scopus 22
44. P. D. Lebedev, A. L. Kazakov, “Iterative methods for the construction of planar packings of circles of different size”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:2 (2018),  141–151  mathnet  elib 2
2017
45. A. L. Kazakov, P. D. Lebedev, “Algorithms for constructing optimal $n$-networks in metric spaces”, Avtomat. i Telemekh., 2017, no. 7,  141–155  mathnet  mathscinet  elib; Autom. Remote Control, 78:7 (2017), 1290–1301  isi  scopus 12
2016
46. A. L. Kazakov, L. F. Spevak, O. A. Nefedova, “Solution of a two-dimensionel problem on the motion of a heat wave front with the use of power series and the boundary element method”, Bulletin of Irkutsk State University. Series Mathematics, 18 (2016),  21–37  mathnet
47. A. L. Kazakov, S. S. Orlov, “On some exact solutions of the nonlinear heat equation”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:1 (2016),  112–123  mathnet  mathscinet  elib 13
48. A. L. Kazakov, A. A. Lempert, G. L. Nguen, “An algorithm of packing congruent circles in a multiply connected set with non-Euclidean metrics”, Num. Meth. Prog., 17:2 (2016),  177–188  mathnet 4
2015
49. A. L. Kazakov, P. A. Kuznetsov, A. A. Lempert, “On construction of heat wave for nonlinear heat equation in symmetrical case”, Bulletin of Irkutsk State University. Series Mathematics, 11 (2015),  39–53  mathnet 3
50. A. L. Kazakov, L. F. Spevak, “Numerical and analytical study of processes described by the nonlinear heat equation”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 157:4 (2015),  42–48  mathnet  elib
51. A. L. Kazakov, P. D. Lebedev, “Algorithms of optimal packing construction for planar compact sets”, Num. Meth. Prog., 16:2 (2015),  307–317  mathnet 8
2014
52. I. V. Bychkov, A. L. Kazakov, A. A. Lempert, D. S. Bukharov, A. B. Stolbov, “The intelligent management system of development of regional transport-logistic infrastructure”, Probl. Upr., 2014, no. 1,  27–35  mathnet; Automation and Remote Control, 77:2 (2016), 332–343  isi 31
53. A. L. Kazakov, P. A. Kuznetsov, “On a boundary value problem for a nonlinear heat equation in the case of two space variables”, Sib. Zh. Ind. Mat., 17:1 (2014),  46–54  mathnet  mathscinet; J. Appl. Industr. Math., 8:2 (2014), 227–235 16
54. A. L. Kazakov, P. A. Kuznetsov, L. F. Spevak, “On a degenerate boundary value problem for the porous medium equation in spherical coordinates”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:1 (2014),  119–129  mathnet  mathscinet  elib 16
2013
55. A. L. Kazakov, A. A. Lempert, D. S. Bukharov, “On segmenting logistical zones for servicing continuously developed consumers”, Avtomat. i Telemekh., 2013, no. 6,  87–100  mathnet  mathscinet; Autom. Remote Control, 74:6 (2013), 968–977  isi  scopus 17
56. A. L. Kazakov, T. A. Batagaeva, “Investigation of the stability of simple quasi-Toeplitz tridiagonal systems with unlimited dimension”, Bulletin of Irkutsk State University. Series Mathematics, 6:3 (2013),  25–37  mathnet
57. A. L. Kazakov, A. A. Lempert, “Existence and uniqueness of the solution of the boundary-value problem for a parabolic equation of unsteady filtration”, Prikl. Mekh. Tekh. Fiz., 54:2 (2013),  97–105  mathnet  elib; J. Appl. Mech. Tech. Phys., 54:2 (2013), 251–258 23
58. A. A. Lempert, A. L. Kazakov, D. Bukharov, “Mathematical model and program system for solving a problem of logistic objects placement”, UBS, 41 (2013),  270–284  mathnet; Autom. Remote Control, 76:8 (2015), 1463–1470  isi 12
2012
59. V. N. Ushakov, A. R. Matviychuk, A. V. Ushakov, A. L. Kazakov, “On the solutions construction of the problem of convergence to a fixed point in time”, Bulletin of Irkutsk State University. Series Mathematics, 5:4 (2012),  95–115  mathnet
60. A. L. Kazakov, L. F. Spevak, “Boundary element method and power series method for one-dimensional non-linear filtration problems”, Bulletin of Irkutsk State University. Series Mathematics, 5:2 (2012),  2–17  mathnet 8
61. A. L. Kazakov, “Application of characteristic series for constructing solutions of nonlinear parabolic equations and systems with degeneracy”, Trudy Inst. Mat. i Mekh. UrO RAN, 18:2 (2012),  114–122  mathnet  elib 6
62. D. S. Bukharov, A. L. Kazakov, “VIGOLT system for solving transport logistics optimization problems”, Num. Meth. Prog., 13:3 (2012),  65–74  mathnet 5
2011
63. A. L. Kazakov, A. A. Lempert, “An approach to optimization in transport logistics”, Avtomat. i Telemekh., 2011, no. 7,  50–57  mathnet  mathscinet  zmath; Autom. Remote Control, 72:7 (2011), 1398–1404  isi  scopus 34
64. A. L. Kazakov, A. A. Lempert, “Analytical and numerical study of generalized Cauchy problems occurring in gas dynamics”, Prikl. Mekh. Tekh. Fiz., 52:3 (2011),  30–40  mathnet  elib; J. Appl. Mech. Tech. Phys., 52:3 (2011), 352–362 6
2010
65. A. L. Kazakov, “Application of the generalized method of characteristic series to the construction of a solution of an initial-boundary value problem for a system of quasi-linear equations”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:2 (2010),  91–108  mathnet  elib 2
2009
66. A. L. Kazakov, “The Generalized Cauchy Problem for a Quasilinear System with Two Singularities”, Sib. Zh. Ind. Mat., 12:4 (2009),  51–63  mathnet  mathscinet
2008
67. A. L. Kazakov, “Построение решений обобщенной задачи Коши с данными на трех поверхностях в классе аналитических функций”, Sib. Zh. Ind. Mat., 11:1 (2008),  63–79  mathnet  mathscinet
2007
68. A. L. Kazakov, “The generalized Cauchy problem with data on two surfaces for a quasilinear analytic system”, Sibirsk. Mat. Zh., 48:5 (2007),  1041–1055  mathnet  mathscinet  zmath  elib; Siberian Math. J., 48:5 (2007), 837–848  isi  elib  scopus 6
2006
69. A. L. Kazakov, “On analytic solutions to the generalized Cauchy problem with data on three surfaces for a quasilinear system”, Sibirsk. Mat. Zh., 47:2 (2006),  301–315  mathnet  mathscinet  zmath  elib; Siberian Math. J., 47:2 (2006), 245–257  isi  elib  scopus 2
1998
70. A. L. Kazakov, “Construction of piecewise-analytical gas flows joined through shock waves near the axis or center of symmetry”, Prikl. Mekh. Tekh. Fiz., 39:5 (1998),  25–38  mathnet; J. Appl. Mech. Tech. Phys., 39:5 (1998), 671–683 1
1997
71. S. P. Bautin, A. L. Kazakov, “A Cauchy problem with initial data on difference surfaces for a system with singularity”, Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 10,  13–23  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 41:10 (1997), 11–21 2
1996
72. S. P. Bautin, A. L. Kazakov, “Some gas flows in a neighborhood of the axis or center of symmetry with reflected shock waves”, Dokl. Akad. Nauk, 347:2 (1996),  195–198  mathnet  mathscinet  zmath; Dokl. Math., 41:3 (1996), 123–126 3
2025
73. I. V. Bychkov, V. A. Dykhta, A. L. Kazakov, N. I. Pogodaev, V. A. Shelekhov, “On the 85th birthday anniversary of the RAS Corresponding Member, professor A. A. Tolstonogov”, Bulletin of Irkutsk State University. Series Mathematics, 51 (2025),  167–178  mathnet
2010
74. A. L. Kazakov, “From Letter to the Editor”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:3 (2010),  285  mathnet  elib 1

Presentations in Math-Net.Ru
1. Nonlinear second order degenerate parabolic equation: existence theorem and exact solutions
A. L. Kazakov
Seminar on nonlinear problems of partial differential equations and mathematical physics
March 14, 2023 17:00   
2. Решения типа диффузионных волн для нелинейных параболических уравнений и систем
A. L. Kazakov

November 7, 2022 15:00
3. Построение специальных точных решений квазилинейного уравнения теплопроводности
A. L. Kazakov, Sv. S. Orlov
All-Russian conference "Modern Problems of Continuum Mechanics" devoted to 110 anniversary of L. I. Sedov
November 14, 2017 17:20

Organisations