Korotkii Aleksandr Illarionovich

Publications in Math-Net.Ru

1. Assimilation of irregular boundary data in recovering model coefficients
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 31:4 (2025),  214–229
2. Reconstruction of lava rheology in a thin-layer model of viscous flow
   
   Russian Journal of Cybernetics, 6:4 (2025),  121–126
3. On the correctness of one extreme problem related to inverse coefficient problems
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 30:4 (2024),  170–179
4. 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
5. Application of hybrid computers to simulate the lava flow
   
   Russian Journal of Cybernetics, 5:4 (2024),  103–109
6. 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
7. 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
8. Numerical simulation of lava flows in models of isothermal viscous multiphase incompressible fluid
   
   Meždunar. nauč.-issled. žurn., 2021, no. 12(114),  12–18
9. Gravitational flow of a two-phase viscous incompressible liquid
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 27:4 (2021),  61–73
10. 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
11. 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
12. 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
13. 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
14. Reconstruction of boundary controls in reaction–convection–diffusion model
    
    Izv. IMI UdGU, 2015, no. 2(46),  85–92
15. 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
16. 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
17. Reconstruction of distributed controls in parabolic systems by a dynamic method
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 19:1 (2013),  160–169
18. Reconstruction of Distributed Controls in Hyperbolic Systems by Dynamic Method
    
    Vestnik YuUrGU. Ser. Mat. Model. Progr., 6:3 (2013),  67–78
19. Control reconstruction in hyperbolic systems
    
    Avtomat. i Telemekh., 2012, no. 3,  64–78
20. Reconstruction of boundary controls in hyperbolic systems
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 18:2 (2012),  154–169
21. Reconstruction of boundary controls in parabolic systems
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 18:1 (2012),  178–197
22. 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
23. Optimal control of thermal convection
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:5 (2010),  103–112
24. 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
25. Solution in weak sense of a boundary value problem describing thermal convection
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:2 (2010),  121–132
26. Optimal boundary control of a system describing thermal convection
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:1 (2010),  76–101
27. 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
28. Direct and inverse problems of high-viscosity fluid dynamics
    
    Avtomat. i Telemekh., 2007, no. 5,  84–96
29. 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
30. 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
31. The recovery of parameters of a Navier–Stokes system
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 11:1 (2005),  122–138
32. Solution of a retrospective inverse problem for a nonlinear evolutionary model
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 9:2 (2003),  73–86
33. Three-dimensional numerical modeling of the inverse problem of thermal convection
    
    Zh. Vychisl. Mat. Mat. Fiz., 43:4 (2003),  614–626
34. Numerical simulation of three-dimensional viscous flows with gravitational and thermal effects
    
    Zh. Vychisl. Mat. Mat. Fiz., 41:9 (2001),  1399–1415
35. On the dynamic reconstruction of controls and parameters under conditions of incomplete information about the system
    
    Differ. Uravn., 35:11 (1999),  1482–1486
36. Reconstruction of the controls and parameters of dynamical systems under incomplete information
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1998, no. 11,  47–55
37. Numerical realization of liydrodyiiamic 3D-model of the formation of sedimentary basins
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 5 (1998),  143–173
38. Implementation of a three-dimensional hydrodynamic model for evolution of sedimentary basins
    
    Zh. Vychisl. Mat. Mat. Fiz., 38:7 (1998),  1190–1203
39. 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
40. On the reconstruction of the location and intensity of sources of disturbances
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 4 (1996),  217–226
41. Inverse problems of the dynamics of control systems with distributed parameters
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 11,  101–124
42. On dynamical solution of inverse reconstruction problem in Goursat–Darboux system
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 3 (1995),  88–103
43. On dynamical modelling of parameters of some thermal processes
    
    Mat. Model., 3:8 (1991),  72–81
44. On an integral representation of $G$-limit operators
    
    Dokl. Akad. Nauk SSSR, 310:6 (1990),  1296–1299
45. On the extension of extremal problems that are connected with controllable elliptic systems
    
    Differ. Uravn., 25:9 (1989),  1518–1522


46. Actual problems of stability and control theory (APSCT'2009)
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:5 (2010),  3–7
47. Anatolii Fedorovich Sidorov (1933–1999)
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 9:2 (2003),  3–9
48. Letter to the Editor
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 5 (1998),  387–390