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Korotkii, Aleksandr Illarionovich
Professor
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person34136
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/201617
https://elibrary.ru/author_items.asp?spin=5688-6577

Publications in Math-Net.Ru Citations
2024
1. A. I. Korotkii, I. A. Tsepelev, “On the correctness of one extreme problem related to inverse coefficient problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 30:4 (2024),  170–179  mathnet  elib
2. A. I. Korotkii, Yu. V. Starodubtseva, “Reconstruction of the absorption coefficient in a model of stationary reaction–convection–diffusion”, Trudy Inst. Mat. i Mekh. UrO RAN, 30:3 (2024),  166–181  mathnet  elib
2023
3. A. I. Korotkii, I. A. Tsepelev, “Assimilation of Boundary Data for Reconstructing the Absorption Coefficient in a Model of Stationary Reaction–Convection–Diffusion”, Trudy Inst. Mat. i Mekh. UrO RAN, 29:2 (2023),  87–103  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 321, suppl. 1 (2023), S138–S153  scopus 1
2022
4. A. I. Korotkii, I. A. Tsepelev, A. T. Ismail-Zadeh, “Assimilating Data on the Location of the Free Surface of a Fluid Flow to Determine Its Viscosity”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:2 (2022),  143–157  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 319, suppl. 1 (2022), S162–S174  isi  scopus 2
2021
5. A. I. Korotkii, I. A. Tsepelev, “Numerical simulation of lava flows in models of isothermal viscous multiphase incompressible fluid”, Meždunar. nauč.-issled. žurn., 2021, no. 12(114),  12–18  mathnet
6. A. I. Korotkii, Yu. V. Starodubtseva, I. A. Tsepelev, “Gravitational flow of a two-phase viscous incompressible liquid”, Trudy Inst. Mat. i Mekh. UrO RAN, 27:4 (2021),  61–73  mathnet  elib 1
2019
7. A. I. Korotkii, I. A. Tsepelev, “Reconstruction of the inlet viscous fluid flow by velocity measurements on any observable part of the free moving surface”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 11:4 (2019),  56–61  mathnet
2018
8. A. I. Korotkii, A. L. Litvinenko, “Solvability of a mixed boundary value problem for a stationary reaction-convection-diffusion model”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:1 (2018),  106–120  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 304, suppl. 1 (2019), S97–S111  isi  scopus 4
9. A. I. Korotkii, I. A. Tsepelev, “Recovery of flow parameters of viscous heat-conducting fluid by some changes at its surface”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 10:1 (2018),  27–36  mathnet  elib
2016
10. A. I. Korotkiy, I. A. Tsepelev, “Numerical simulation of viscous fluid flow based on thermal measurements at its surface”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 8:4 (2016),  17–25  mathnet  elib
2015
11. A. I. Korotkii, Yu. V. Starodubtseva, “Reconstruction of boundary controls in reaction–convection–diffusion model”, Izv. IMI UdGU, 2015, no. 2(46),  85–92  mathnet  elib
2014
12. A. I. Korotkii, Yu. V. Starodubtseva, “Direct and inverse boundary value problems for models of stationary reaction-convection-diffusion”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:3 (2014),  98–113  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 291, suppl. 1 (2015), 96–112  isi  scopus 8
2013
13. A. I. Korotkii, N. A. Artemova, N. A. Vaganova, O. O. Kovrizhnykh, L. I. Rubina, O. N. Ul'yanov, O. V. Ushakova, M. Yu. Filimonov, I. A. Tsepelev, “On the development of analytical and numerical solution methods for problems of continuum mechanics”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:2 (2013),  203–215  mathnet  mathscinet  elib 1
14. A. I. Korotkii, D. O. Mikhailova, “Reconstruction of distributed controls in parabolic systems by a dynamic method”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:1 (2013),  160–169  mathnet  mathscinet  elib 1
15. A. I. Korotkii, “Reconstruction of Distributed Controls in Hyperbolic Systems by Dynamic Method”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 6:3 (2013),  67–78  mathnet
2012
16. A. I. Korotkii, E. I. Gribanova, “Control reconstruction in hyperbolic systems”, Avtomat. i Telemekh., 2012, no. 3,  64–78  mathnet; Autom. Remote Control, 73:3 (2012), 472–484  isi  scopus 3
17. A. I. Korotkii, E. I. Gribanova, “Reconstruction of boundary controls in hyperbolic systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 18:2 (2012),  154–169  mathnet  elib 1
18. A. I. Korotkii, D. O. Mikhailova, “Reconstruction of boundary controls in parabolic systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 18:1 (2012),  178–197  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 280, suppl. 1 (2013), 98–118  isi  scopus 4
2011
19. A. I. Korotkii, E. I. Gribanova, “Reconstruction of controls in hyperbolic systems by Tikhonov's method with nonsmooth stabilizers”, Trudy Inst. Mat. i Mekh. UrO RAN, 17:1 (2011),  99–108  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 275, suppl. 1 (2011), S68–S77  isi  scopus 4
2010
20. A. I. Korotkii, D. A. Kovtunov, “Optimal control of thermal convection”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:5 (2010),  103–112  mathnet  elib 2
21. A. I. Korotkii, D. O. Mikhailova, “Reconstruction of controls in parabolic systems by Tikhonov's method with nonsmooth stabilizers”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:4 (2010),  211–227  mathnet  elib 6
22. A. I. Korotkii, “Solution in weak sense of a boundary value problem describing thermal convection”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:2 (2010),  121–132  mathnet  elib 5
23. A. I. Korotkii, D. A. Kovtunov, “Optimal boundary control of a system describing thermal convection”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:1 (2010),  76–101  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 272, suppl. 1 (2011), S74–S100  isi  scopus 25
2008
24. A. I. Korotkii, D. A. Kovtunov, “On solvability of stationary problems of natural thermal convection of a high-viscosity fluid”, Trudy Inst. Mat. i Mekh. UrO RAN, 14:1 (2008),  61–73  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 261, suppl. 1 (2008), S117–S130  isi  scopus 3
2007
25. A. I. Korotkii, I. A. Tsepelev, “Direct and inverse problems of high-viscosity fluid dynamics”, Avtomat. i Telemekh., 2007, no. 5,  84–96  mathnet  mathscinet  zmath; Autom. Remote Control, 68:5 (2007), 822–833  scopus 5
2006
26. A. I. Korotkii, D. A. Kovtunov, “Reconstruction of boundary regimes in the inverse problem of thermal convection of a high-viscosity fluid”, Trudy Inst. Mat. i Mekh. UrO RAN, 12:2 (2006),  88–97  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 255, suppl. 2 (2006), S81–S92  scopus 22
27. A. T. Ismail-zade, A. I. Korotkii, I. A. Tsepelev, “Three-dimensional numerical simulation of the inverse problem of thermal convection using the quasi-reversibility method”, Zh. Vychisl. Mat. Mat. Fiz., 46:12 (2006),  2277–2288  mathnet  mathscinet; Comput. Math. Math. Phys., 46:12 (2006), 2176–2186  scopus 6
2005
28. A. I. Korotkii, “The recovery of parameters of a Navier–Stokes system”, Trudy Inst. Mat. i Mekh. UrO RAN, 11:1 (2005),  122–138  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 2005no. , suppl. 1, S134–S151
2003
29. A. I. Korotkii, I. A. Tsepelev, “Solution of a retrospective inverse problem for a nonlinear evolutionary model”, Trudy Inst. Mat. i Mekh. UrO RAN, 9:2 (2003),  73–86  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 2003no. , suppl. 2, S80–S94 6
30. A. T. Ismail-zade, A. I. Korotkii, B. M. Naimark, I. A. Tsepelev, “Three-dimensional numerical modeling of the inverse problem of thermal convection”, Zh. Vychisl. Mat. Mat. Fiz., 43:4 (2003),  614–626  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 43:4 (2003), 587–599 19
2001
31. A. T. Ismail-zade, A. I. Korotkii, B. M. Naimark, I. A. Tsepelev, “Numerical simulation of three-dimensional viscous flows with gravitational and thermal effects”, Zh. Vychisl. Mat. Mat. Fiz., 41:9 (2001),  1399–1415  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:9 (2001), 1331–1345 20
1999
32. A. I. Korotkii, “On the dynamic reconstruction of controls and parameters under conditions of incomplete information about the system”, Differ. Uravn., 35:11 (1999),  1482–1486  mathnet  mathscinet; Differ. Equ., 35:11 (1999), 1503–1507 1
1998
33. A. I. Korotkii, “Reconstruction of the controls and parameters of dynamical systems under incomplete information”, Izv. Vyssh. Uchebn. Zaved. Mat., 1998, no. 11,  47–55  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 42:11 (1998), 45–52 3
34. B. M. Naimark, A. T. Ismail-zade, A. I. Korotkii, A. P. Suetov, I. A. Tsepelev, “Numerical realization of liydrodyiiamic 3D-model of the formation of sedimentary basins”, Trudy Inst. Mat. i Mekh. UrO RAN, 5 (1998),  143–173  mathnet  zmath 1
35. A. T. Ismail-zade, A. I. Korotkii, B. M. Naimark, A. P. Suetov, I. A. Tsepelev, “Implementation of a three-dimensional hydrodynamic model for evolution of sedimentary basins”, Zh. Vychisl. Mat. Mat. Fiz., 38:7 (1998),  1190–1203  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:7 (1998), 1138–1151 8
1996
36. A. I. Korotkii, I. A. Tsepelev, “Upper and lower bounds on accuracy in the problem of the dynamic determination of parameters”, Trudy Inst. Mat. i Mekh. UrO RAN, 4 (1996),  227–238  mathnet  mathscinet  zmath  elib 5
37. A. I. Korotkii, “On the reconstruction of the location and intensity of sources of disturbances”, Trudy Inst. Mat. i Mekh. UrO RAN, 4 (1996),  217–226  mathnet  mathscinet  zmath  elib 2
1995
38. Korotkiĭ, A. I., “Inverse problems of the dynamics of control systems with distributed parameters”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 11,  101–124  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 39:11 (1995), 94–115 9
39. A. I. Korotkii, I. A. Tsepelev, “On dynamical solution of inverse reconstruction problem in Goursat–Darboux system”, Trudy Inst. Mat. i Mekh. UrO RAN, 3 (1995),  88–103  mathnet  mathscinet  zmath  elib 1
1991
40. S. L. Grigor'ev, A. V. Kim, A. I. Korotkii, I. A. Tsepelev, “On dynamical modelling of parameters of some thermal processes”, Matem. Mod., 3:8 (1991),  72–81  mathnet  mathscinet  zmath
1990
41. A. I. Korotkii, “On an integral representation of $G$-limit operators”, Dokl. Akad. Nauk SSSR, 310:6 (1990),  1296–1299  mathnet  mathscinet  zmath; Dokl. Math., 41:1 (1990), 178–181
1989
42. A. I. Korotkii, “On the extension of extremal problems that are connected with controllable elliptic systems”, Differ. Uravn., 25:9 (1989),  1518–1522  mathnet  mathscinet  zmath; Differ. Equ., 25:9 (1989), 1065–1068
2010
43. N. N. Subbotina, A. I. Korotkii, “Actual problems of stability and control theory (APSCT'2009)”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:5 (2010),  3–7  mathnet  elib
2003
44. Yu. S. Osipov, V. I. Berdyshev, A. M. Il'in, A. I. Korotkii, V. V. Samofalov, S. S. Titov, O. N. Ul'yanov, O. B. Khairullina, “Anatolii Fedorovich Sidorov (1933–1999)”, Trudy Inst. Mat. i Mekh. UrO RAN, 9:2 (2003),  3–9  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 2003no. , suppl. 2, S1–S7 2
1998
45. A. I. Korotkii, “Letter to the Editor”, Trudy Inst. Mat. i Mekh. UrO RAN, 5 (1998),  387–390  mathnet  zmath

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