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Chebotarev, Alexander Yur'evich
Professor
Doctor of physico-mathematical sciences (2003)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:
Keywords: variational inequalities and optimal control problems.
UDC: 517.95, 517.626, 519.634

Subject:

Variational inequalities and optimal control problems. Mathematical hydrodynamics.
   
Main publications:
  • Subdifferentsialnye kraevye zadachi dlya statsionarnykh urvnenii Nave–Stoksa // Differentsialnye uravneniya. 1992. t. 28. # 8. S. 1443–1450.
  • Normalnye resheniya kraevykh zadach dlya statsionarnykh sistem Nave–Stoksa // Sibirskii matematicheskii zhurnal. 1995. T. 36. # 4. S. 934–942.
  • Statsionarnye variatsionnye neravenstva v modeli neodnorodnoi neszhimaemoi zhidkosti // Sibirskii matematicheskii zhurnal. 1997. T. 38. # 5. S. 1184–1193.

https://www.mathnet.ru/eng/person18863
List of publications on Google Scholar
https://elibrary.ru/author_items.asp?authorid=2207
https://www.researchgate.net/profile/Alexander-Chebotarev-2

Publications in Math-Net.Ru Citations
2024
1. A. Yu. Chebotarev, “Inverse problem with integral overdetermination for a semilinear parabolic equation”, Dal'nevost. Mat. Zh., 24:2 (2024),  280–285  mathnet
2. A. A. Pishchikov, A. Yu. Chebotarev, “Analysis of semilinear elliptic boundary value problem and its applications”, Dal'nevost. Mat. Zh., 24:2 (2024),  259–267  mathnet
3. A. Yu. Chebotarev, “Extremal problems for quasi-stationary equations of complex heat transfer with Fresnel coupling conditions”, Dal'nevost. Mat. Zh., 24:1 (2024),  133–140  mathnet
2023
4. A. Yu. Chebotarev, “Optimal multiplicative control of a semilinear parabolic equation”, Dal'nevost. Mat. Zh., 23:2 (2023),  270–277  mathnet
5. A. Yu. Chebotarev, N. M. Park, A. E. Kovtanyuk, “Analysis and numerical simulation of the initial-boundary value problem for quasilinear equations of complex heat transfer”, Sib. Zh. Ind. Mat., 26:4 (2023),  180–193  mathnet; J. Appl. Industr. Math., 17:4 (2023), 698–709 2
6. A. Yu. Chebotarev, “Optimal control of quasi-stationary equations of complex heat transfer with reflection and refraction conditions”, Zh. Vychisl. Mat. Mat. Fiz., 63:11 (2023),  1829–1838  mathnet  elib; Comput. Math. Math. Phys., 63:11 (2023), 2050–2059 2
7. P. R. Mesenev, A. Yu. Chebotarev, “The problem of complex heat transfer with Cauchy-type conditions on a part of the boundary”, Zh. Vychisl. Mat. Mat. Fiz., 63:5 (2023),  856–863  mathnet  elib; Comput. Math. Math. Phys., 63:5 (2023), 897–904
8. A. Yu. Chebotarev, “Inhomogeneous problem for quasi-stationary equations of complex heat transfer with reflection and refraction conditions”, Zh. Vychisl. Mat. Mat. Fiz., 63:3 (2023),  465–473  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 63:3 (2023), 441–449 7
2022
9. A. Yu. Chebotarev, N. M. Park, P. R. Mesenev, A. E. Kovtanyuk, “Penalty method to solve an optimal control problem for a quasilinear parabolic equation”, Dal'nevost. Mat. Zh., 22:2 (2022),  158–163  mathnet  mathscinet
10. A. Yu. Chebotarev, “Initial-boundary value problem for the equations of radiative heat transfer with Fresnel conjugation conditions”, Dal'nevost. Mat. Zh., 22:1 (2022),  100–106  mathnet  mathscinet
11. A. Yu. Chebotarev, “Optimal control problems for complex heat transfer equations with Fresnel matching conditions”, Zh. Vychisl. Mat. Mat. Fiz., 62:3 (2022),  381–390  mathnet  elib; Comput. Math. Math. Phys., 62:3 (2022), 372–381  isi  scopus 8
12. P. R. Mesenev, A. Yu. Chebotarev, “Analysis of an optimization method for solving the problem of complex heat transfer with Cauchy boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 62:1 (2022),  36–44  mathnet  elib; Comput. Math. Math. Phys., 62:1 (2022), 33–41  isi  scopus 2
2021
13. A. Yu. Chebotarev, “Optimal control of the radiation heat exchange equations for multi-component media”, Dal'nevost. Mat. Zh., 21:1 (2021),  113–121  mathnet 1
14. A. Yu. Chebotarev, “Inverse problem for equations of complex heat transfer with Fresnel matching conditions”, Zh. Vychisl. Mat. Mat. Fiz., 61:2 (2021),  303–311  mathnet  elib; Comput. Math. Math. Phys., 61:2 (2021), 288–296  isi  scopus 10
2020
15. A. Yu. Chebotarev, P. R. Mesenev, “An algorithm for solving the boundary value problem of radiation heat transfer without boundary conditions for radiation intensity”, Dal'nevost. Mat. Zh., 20:1 (2020),  114–122  mathnet
16. A. Yu. Chebotarev, “Inhomogeneous boundary-value problem of radiation heat transfer for a multicomponent medium”, Dal'nevost. Mat. Zh., 20:1 (2020),  108–113  mathnet 1
17. A. E. Kovtanyuk, A. Yu. Chebotarev, A. A. Astrakhantseva, A. A. Sushchenko, “Optimal control of endovenous laser ablation”, Optics and Spectroscopy, 128:9 (2020),  1396–1404  mathnet  elib; Optics and Spectroscopy, 128:9 (2020), 1508–1516 8
2019
18. A. Yu. Chebotarev, A. G. Kolobov, T. V. Pak, “The problem of radiative heat transfer without boundary conditions for the intensity of radiation”, Dal'nevost. Mat. Zh., 19:1 (2019),  119–124  mathnet
19. A. Yu. Chebotarev, G. V. Grenkin, “Finding the source intensity in the radiative heat transfer model by integral overdetermination”, Dal'nevost. Mat. Zh., 19:1 (2019),  88–95  mathnet
20. G. V. Grenkin, A. Yu. Chebotarev, “Inverse problem for equations of complex heat transfer”, Zh. Vychisl. Mat. Mat. Fiz., 59:8 (2019),  1420–1430  mathnet  elib; Comput. Math. Math. Phys., 59:8 (2019), 1361–1371  isi  scopus 15
21. A. G. Kolobov, T. V. Pak, A. Yu. Chebotarev, “Stationary problem of radiative heat transfer with Cauchy boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 59:7 (2019),  1258–1263  mathnet  elib; Comput. Math. Math. Phys., 59:7 (2019), 1199–1203  isi  scopus 12
2018
22. P. R. Mesenev, A. Yu. Chebotarev, “Boundary inverse problem for conductive-radiative equations of heat transfer”, Dal'nevost. Mat. Zh., 18:1 (2018),  75–84  mathnet
23. G. V. Grenkin, A. Yu. Chebotarev, “Stability of stationary solutions of the radiative heat transfer equations”, Zh. Vychisl. Mat. Mat. Fiz., 58:9 (2018),  1472–1477  mathnet  elib; Comput. Math. Math. Phys., 58:9 (2018), 1420–1425  isi  scopus 4
2016
24. A. Yu. Chebotarev, G. V. Grenkin, A. E. Kovtanyuk, “Unique solvability of the subdifferential boundary value problem for the complex heat transfer equations”, Dal'nevost. Mat. Zh., 16:2 (2016),  229–236  mathnet  elib 1
25. G. V. Grenkin, A. Yu. Chebotarev, “Control of complex heat transfer on producing extremal fields”, Zh. Vychisl. Mat. Mat. Fiz., 56:10 (2016),  1725–1732  mathnet  elib; Comput. Math. Math. Phys., 56:10 (2016), 1708–1715  isi  scopus 5
26. A. E. Kovtanyuk, A. Yu. Chebotarev, “Nonlocal unique solvability of a steady-state problem of complex heat transfer”, Zh. Vychisl. Mat. Mat. Fiz., 56:5 (2016),  816–823  mathnet  elib; Comput. Math. Math. Phys., 56:5 (2016), 802–809  isi  scopus 12
27. G. V. Grenkin, A. Yu. Chebotarev, “Nonstationary problem of free convection with radiative heat transfer”, Zh. Vychisl. Mat. Mat. Fiz., 56:2 (2016),  275–282  mathnet  elib; Comput. Math. Math. Phys., 56:2 (2016), 278–285  isi  scopus 20
2015
28. G. V. Grenkin, A. Yu. Chebotarev, “A nonhomogeneous nonstationary complex heat transfer problem”, Sib. Èlektron. Mat. Izv., 12 (2015),  562–576  mathnet 14
2014
29. G. V. Grenkin, A. Yu. Chebotarev, “The stability of steady-state solutions of the diffusion complex heat transfer model”, Dal'nevost. Mat. Zh., 14:1 (2014),  18–32  mathnet 8
30. G. V. Grenkin, A. Yu. Chebotarev, “A nonstationary problem of complex heat transfer”, Zh. Vychisl. Mat. Mat. Fiz., 54:11 (2014),  1806–1816  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 54:11 (2014), 1737–1747  isi  elib  scopus 30
31. A. E. Kovtanyuk, A. Yu. Chebotarev, “Steady-state problem of complex heat transfer”, Zh. Vychisl. Mat. Mat. Fiz., 54:4 (2014),  711–719  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 54:4 (2014), 719–726  isi  elib  scopus 51
32. A. Yu. Chebotarev, “Inverse problems for stationary Navier–Stokes systems”, Zh. Vychisl. Mat. Mat. Fiz., 54:3 (2014),  519–528  mathnet  elib; Comput. Math. Math. Phys., 54:3 (2014), 537–545  isi  elib  scopus 12
2012
33. A. Yu. Chebotarev, “Stabilization of equilibrium MHD configurations by external currents”, Zh. Vychisl. Mat. Mat. Fiz., 52:12 (2012),  2238–2246  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 52:12 (2012), 1670–1678  isi  elib  scopus 6
34. A. Yu. Chebotarev, “Stabilization of unstable equilibrium configurations in magnetohydrodynamics”, Zh. Vychisl. Mat. Mat. Fiz., 52:2 (2012),  312–318  mathnet  mathscinet  zmath 2
2011
35. A. Yu. Chebotarev, “Determination of the right-hand side of the Navier–Stokes system of equations and inverse problems for the thermal convection equations”, Zh. Vychisl. Mat. Mat. Fiz., 51:12 (2011),  2279–2287  mathnet  mathscinet; Comput. Math. Math. Phys., 51:12 (2011), 2146–2154  isi  scopus 13
2010
36. A. Yu. Chebotarev, “Finite-dimensional stabilization with given rate for the Navier – Stokes systems”, Dal'nevost. Mat. Zh., 10:2 (2010),  199–204  mathnet
2009
37. A. Yu. Chebotarev, “The stable synthesis of optimal control in the extremum problem for elliptic equation”, Dal'nevost. Mat. Zh., 9:1-2 (2009),  204–208  mathnet  elib
38. A. Yu. Chebotarev, “Control of magnetohydrodynamic flow in the formation of a magnetic field with a prescribed configuration”, Zh. Vychisl. Mat. Mat. Fiz., 49:11 (2009),  2001–2009  mathnet; Comput. Math. Math. Phys., 49:11 (2009), 1913–1920  isi  scopus 3
39. A. Yu. Chebotarev, “Impulse control of temperature in a free convection model”, Zh. Vychisl. Mat. Mat. Fiz., 49:4 (2009),  616–623  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 49:4 (2009), 594–601  isi  elib  scopus
40. V. E. Tsyba, A. Yu. Chebotarev, “Optimal control asymptotics of a magnetohydrodynamic flow”, Zh. Vychisl. Mat. Mat. Fiz., 49:3 (2009),  482–489  mathnet  mathscinet; Comput. Math. Math. Phys., 49:3 (2009), 466–473  isi  scopus 7
2008
41. A. Yu. Chebotarev, A. A. Illarionov, E. V. Amosova, “Variational inequalities, boundary – value problems and optimal control for the Navier – Stokes equations”, Dal'nevost. Mat. Zh., 8:1 (2008),  121–140  mathnet  elib 1
42. A. Yu. Chebotarev, “Optimal control of MHD-flow deceleration”, Prikl. Mekh. Tekh. Fiz., 49:5 (2008),  3–10  mathnet  elib; J. Appl. Mech. Tech. Phys., 49:5 (2008), 705–711
2007
43. A. Yu. Chebotarev, A. S. Savenkova, “Variational Inequalities in Magneto-Hydrodynamics”, Mat. Zametki, 82:1 (2007),  135–149  mathnet  mathscinet  elib; Math. Notes, 82:1 (2007), 119–130  isi  scopus 6
44. A. Yu. Chebotarev, “Optimal control in nonstationary problems of magnetohydrodynamics”, Sib. Zh. Ind. Mat., 10:3 (2007),  138–148  mathnet  mathscinet  elib; J. Appl. Industr. Math., 3:2 (2009), 163–172 7
2004
45. A. A. Illarionov, A. Yu. Chebotarev, “The solvability of stationary boundary problem for model of the granular medium”, Dal'nevost. Mat. Zh., 5:2 (2004),  178–183  mathnet
2003
46. A. Yu. Chebotarev, “Modeling of steady flows in a channel by Navier–Stokes variational inequalities”, Prikl. Mekh. Tekh. Fiz., 44:6 (2003),  123–129  mathnet  elib; J. Appl. Mech. Tech. Phys., 44:6 (2003), 852–857 13
2002
47. A. Yu. Chebotarev, “Letter to the editors”, Sibirsk. Mat. Zh., 43:2 (2002),  482  mathnet  mathscinet  zmath; Siberian Math. J., 43:2 (2002), 388  isi
2001
48. A. A. Illarionov, A. Yu. Chebotarev, “Solvability of a Mixed Boundary Value Problem for the Stationary Navier–Stokes Equations”, Differ. Uravn., 37:5 (2001),  689–695  mathnet  mathscinet; Differ. Equ., 37:5 (2001), 724–731 13
49. A. Yu. Chebotarev, “Variational Inequalities for Navier–Stokes Type Operators and One-Sided Problems for Equations of Viscous Heat-Conducting Fluids”, Mat. Zametki, 70:2 (2001),  296–307  mathnet  mathscinet  zmath; Math. Notes, 70:2 (2001), 264–274  isi 19
2000
50. T. V. Bespalova, A. Yu. Chebotarev, “Variational inequalities and inverse subdifferential problems for the Maxwell equations in a harmonic mode”, Differ. Uravn., 36:6 (2000),  747–753  mathnet  mathscinet; Differ. Equ., 36:6 (2000), 825–832 1
1997
51. A. Yu. Chebotarev, “Stationary variational inequalities in a model of an inhomogeneous incompressible fluid”, Sibirsk. Mat. Zh., 38:5 (1997),  1184–1193  mathnet  mathscinet  zmath; Siberian Math. J., 38:5 (1997), 1028–1037  isi 16
1995
52. A. Yu. Chebotarev, “Inverse boundary value problems for stationary Navier–Stokes equations with subdifferential overdetermination”, Differ. Uravn., 31:4 (1995),  677–683  mathnet  mathscinet; Differ. Equ., 31:4 (1995), 629–634 1
53. A. Yu. Chebotarev, “Inverse problem for nonlinear evolution equations of Navier–Stokes type”, Differ. Uravn., 31:3 (1995),  517–524  mathnet  mathscinet; Differ. Equ., 31:3 (1995), 480–486 4
54. A. Yu. Chebotarev, “Normal solutions to boundary value problems for stationary systems of the Navier–Stokes type”, Sibirsk. Mat. Zh., 36:4 (1995),  934–942  mathnet  mathscinet  zmath; Siberian Math. J., 36:4 (1995), 807–815  isi 6
1993
55. A. Yu. Chebotarev, “Maximum principle in the boundary control problem for flow of a viscous fluid”, Sibirsk. Mat. Zh., 34:6 (1993),  189–197  mathnet  mathscinet  zmath; Siberian Math. J., 34:6 (1993), 1171–1179  isi 7
56. A. Yu. Chebotarev, “Extremal boundary value problems of the dynamics of a viscous incompressible fluid”, Sibirsk. Mat. Zh., 34:5 (1993),  202–213  mathnet  mathscinet  zmath; Siberian Math. J., 34:5 (1993), 972–983  isi 7
1992
57. A. Yu. Chebotarev, “Subdifferential boundary value problems for stationary Navier–Stokes equations”, Differ. Uravn., 28:8 (1992),  1443–1450  mathnet  mathscinet; Differ. Equ., 28:8 (1992), 1189–1196 4
1985
58. G. V. Alekseev, A. Yu. Chebotarev, “Inverse problems of acoustic potential”, Zh. Vychisl. Mat. Mat. Fiz., 25:8 (1985),  1189–1199  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 25:4 (1985), 143–149 2

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