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Elizarov, Alexandre Mikhajlovich
Professor
Doctor of physico-mathematical sciences (1991)
Speciality: 01.02.05 (Mechanics of fluids, gases and plasmas)
Birth date: 14.08.1954
E-mail: ,
Website: https://kpfu.ru/alexander.elizarov
Keywords: geometric function theory, boundary value problem, free boundary problems for PDE, ill-posed problems, regularization, optimal control problems, optimization, inverse problems: optimal shape design problems, airfoil and hydrofoil theory, mechanics of fluid and gas.

Biography

Present position: Kazan State University, Chebotarev Inst. of Math. and Mech., Director Kazan State University, Professor at the chair of Mathematical Statistics Previous employment: 1976–1978 Assistant Professor at Kazan State University (KSU), Department of Mechanics and Mathematics, Kazan, USSR. 1980–1982 Research Fellow at Chebotarev Institute of Mathematics and Mechanics of KSU in Dep. of Boundary Value Problems. 1982–1991 Senior Research Fellow at Chebotarev Institute of Mathematics and Mechanics of KSU in Dep. of Boundary Value Problems. 1991–1993 Vice-director at Chebotarev Institute of Mathematics and Mechanics of KSU. 1994–1997 Director at Chebotarev Institute of Mathematics and Mechanics of KSU.

Education: 1961–1968 Primary education in several schools in Kazan. 1968–1971 Secondary education in Kazan at school No 131 (a specialized mathematical school). 1971–1976 University studies. MS degree in mathematics, at the Mathematics department of KSU, 1976. 1978–1980 Postgraduate at KSU in Department of Mechanics and Mathematics (adviser Prof. L. A. Aksent'ev). 1980 Ph.D. (=Kandidat Nauk) in Pure Mathematics. 1991 Doctor of science (Phys.-Math.) (state degree of the USSR, above Ph.D. level).

Thesis topic: Solutions regularization and optimization of inverse boundary value problems of aerohydrodynamics.

1987 Prize for the monograph A. M. Elizarov, Yu. E. Khohlov. Mathematical Methods in Library Management. Advances in Science and Technology of KSU Press, Kazan, 1987 (KSU competition). 1995 Prize for the monograph A. M. Elizarov, N. B. Il'insky, A. V. Potashev. Inverse boundary-value problems of aerohydrodynamics. Moscow: Fizmatlit, 1994 (KSU competition). 1999 Prize for the monograph A. M. Elizarov, N. B. Il'insky, A. V. Potashev. Mathematical Methods of airfoil design. Inverse boundary-value problems of aerohydrodynamics}. Academie Verlag, Germany, 1997, 280 p. (Tatarstan Akademie of sience competition). Memberships in scientific organizations: AMS, SIAM, GAMM.
   
Main publications:
  • Elizarov A. M., Il'inskiy N. B., Potashev A. V. Mathematical methods of airfoils design (inverse boundary-value problems of aerohydrodynamics). Berlin: WILEY-VCH Verlag, 1997. 280 p.

https://www.mathnet.ru/eng/person9146
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/196502
https://elibrary.ru/author_items.asp?authorid=2521
https://orcid.org/0000-0003-2546-6897
https://www.researchgate.net/profile/A-Elizarov

Publications in Math-Net.Ru Citations
2022
1. A. M. Elizarov, A. V. Kirillovich, E. K. Lipachev, O. A. Nevzorova, “OntoMath$^{\operatorname{PRO}}$ : An ontology of mathematical knowledge”, Dokl. RAN. Math. Inf. Proc. Upr., 507 (2022),  29–35  mathnet  mathscinet  elib; Dokl. Math., 106 (2022), 429–435 9
2020
2. E. V. Biryaltsev, M. R. Galimov, D. E. Demidov, A. M. Elizarov, “Digital project and platform for working with it”, Vestn. YuUrGU. Ser. Vych. Matem. Inform., 9:1 (2020),  50–68  mathnet 1
2019
3. E. V. Biryaltsev, M. R. Galimov, D. E. Demidov, A. M. Elizarov, “The platform approach to research and development using high-performance computing”, Program Systems: Theory and Applications, 10:2 (2019),  121–153  mathnet
4. E. V. Biryaltsev, M. R. Galimov, D. E. Demidov, A. M. Elizarov, “The platform approach to research and development using high-performance computing”, Program Systems: Theory and Applications, 10:2 (2019),  93–119  mathnet
2017
5. A. A. Belyaeva, E. V. Biryaltsev, M. R. Galimov, D. E. Demidov, A. M. Elizarov, O. N. Zhibrik, “Architecture of HPC clusters for Oil&Gas Industry”, Program Systems: Theory and Applications, 8:1 (2017),  151–171  mathnet 3
2016
6. A. M. Elizarov, A. B. Zhizhchenko, N. G. Zhiltsov, A. V. Kirillovich, E. K. Lipachev, “Mathematical knowledge ontologies and recommender systems for collections of documents in physics and mathematics”, Dokl. Akad. Nauk, 467:4 (2016),  392–395  mathnet  mathscinet  zmath  elib; Dokl. Math., 93:2 (2016), 231–233  isi  elib  scopus 5
7. E. V. Biryal'tsev, P. B. Bogdanov, M. R. Galimov, D. E. Demidov, A. M. Elizarov, “HPC platform for oil&gas industry”, Program Systems: Theory and Applications, 7:1 (2016),  15–27  mathnet 1
8. A. M. Elizarov, A. V. Potashev, E. V. Potasheva, “Quasisolutions of inverse boundary-value problem of aerodynamics for dense airfoil grids”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 158:4 (2016),  500–510  mathnet  elib 1
2013
9. M. R. Biktimirov, E. V. Biryaltsev, D. E. Demidov, A. M. Elizarov, D. V. Chachkov, “Information infrastructure of Tatarstan: from “SENet-Tatarstan” to “SEGrig-Tatarstan””, Program Systems: Theory and Applications, 4:3 (2013),  3–24  mathnet
2011
10. A. M. Elizarov, K. V. Kirillin, S. I. Filippov, “Capillary-gravity waves in the circulation flow around an underwater cylinder in a finite depth channel”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 153:1 (2011),  147–154  mathnet
2009
11. A. M. Elizarov, A. N. Kalimullina, “Maximization of the lift/drag ratio of airfoils with a turbulent boundary layer: Sharp estimates, approximation, and numerical solutions”, Zh. Vychisl. Mat. Mat. Fiz., 49:3 (2009),  578–592  mathnet  mathscinet; Comput. Math. Math. Phys., 49:3 (2009), 559–572  isi  scopus
2004
12. A. M. Elizarov, A. V. Lapin, “Application of variational methods in inverse boundary value problems for analytic functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, no. 7,  30–46  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 48:7 (2004), 27–43 2
1996
13. F. G. Avkhadiev, A. M. Elizarov, “Sharp estimates for the solution of a variational inverse boundary value problem in a countably connected domain”, Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 3,  3–13  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 40:2 (1996), 1–11 2
1993
14. A. M. Elizarov, E. V. Fedorov, “Inverse boundary value problems of aerohydrodynamics by means of the methods of numerical optimization”, Prikl. Mekh. Tekh. Fiz., 34:2 (1993),  73–81  mathnet; J. Appl. Mech. Tech. Phys., 34:2 (1993), 219–226
15. A. M. Elizarov, E. V. Fëdorov, D. A. Fokin, “Variational inverse boundary value problems of aerodynamics for subsonic gas flow”, Zh. Vychisl. Mat. Mat. Fiz., 33:6 (1993),  958–968  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 33:6 (1993), 849–856  isi
1991
16. A. M. Elizarov, D. A. Fokin, “An inverse boundary value problem in aerodynamics with specification of the velocity distribution for two angles of attack”, Trudy Sem. Kraev. Zadacham, 26 (1991),  137–148  mathnet  mathscinet  zmath
17. A. M. Elizarov, A. N. Il'inskii, N. B. Il'inskii, A. V. Potashev, D. A. Fokin, “Aerohydrodynamically appropriate velocity distributions in inverse boundary value problems of subsonic aerohydrodynamics”, Trudy Sem. Kraev. Zadacham, 26 (1991),  115–137  mathnet  mathscinet  zmath 1
1990
18. A. M. Elizarov, E. V. Fedorov, “Optimization of the form of wing profiles by the method of inverse boundary value problems”, Trudy Sem. Kraev. Zadacham, 25 (1990),  124–135  mathnet  mathscinet
19. F. G. Avkhadiev, L. A. Aksent'ev, A. M. Elizarov, “Conditions for the univalence of solutions of applied inverse boundary value problems. II”, Trudy Sem. Kraev. Zadacham, 24 (1990),  14–38  mathnet  mathscinet
1988
20. A. M. Elizarov, “Some extremal problems in wing theory”, Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 10,  71–74  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 32:10 (1988), 108–113 5
1987
21. F. G. Avkhadiev, L. A. Aksent'ev, A. M. Elizarov, “Sufficient conditions for the finite-valence of analytic functions, and their applications”, Itogi Nauki i Tekhn. Ser. Mat. Anal., 25 (1987),  3–121  mathnet  mathscinet  zmath; J. Soviet Math., 49:1 (1990), 715–799 12
22. A. M. Elizarov, N. B. Il'inskii, A. V. Potashev, “An inverse boundary value problem for laminar profile with suction”, Trudy Sem. Kraev. Zadacham, 23 (1987),  61–69  mathnet
23. L. A. Aksent'ev, A. M. Elizarov, M. I. Kinder, “Inverse boundary value problems for multiply connected domains on Riemann surfaces of genus zero. III”, Trudy Sem. Kraev. Zadacham, 23 (1987),  25–36  mathnet  mathscinet 1
24. F. G. Avkhadiev, L. A. Aksent'ev, A. M. Elizarov, “Conditions for the univalence of solutions of applied inverse boundary value problems. I”, Trudy Sem. Kraev. Zadacham, 23 (1987),  6–24  mathnet  mathscinet
1986
25. L. A. Aksent'ev, A. M. Elizarov, M. I. Kinder, “A proof of the solvability of inverse boundary value problems by the method of vector fields”, Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 8,  82–84  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 30:8 (1986), 110–114
1985
26. A. M. Elizarov, N. B. Il'inskii, A. V. Potashev, “Quasi solutions of an inverse boundary value problem of hydroaerodynamics”, Dokl. Akad. Nauk SSSR, 284:2 (1985),  319–322  mathnet  mathscinet  zmath
27. A. M. Elizarov, N. B. Il'inskii, A. V. Potashev, “On the statement of the velocity distribution in the design of an airfoil profile using the method of quasi-solutions”, Trudy Sem. Kraev. Zadacham, 22 (1985),  69–78  mathnet  zmath
28. L. A. Aksent'ev, A. M. Elizarov, M. I. Kinder, “Inverse boundary value problems for multiply connected domains on Riemann surfaces of genus zero. II”, Trudy Sem. Kraev. Zadacham, 22 (1985),  16–29  mathnet  mathscinet  zmath 1
1984
29. A. M. Elizarov, N. B. Il'inskiĭ, “The method of quasisolutions in an inverse problem of hydroaerodynamics”, Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 10,  50–59  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 28:10 (1984), 66–77 1
30. A. M. Elizarov, “Quasisolutions of an exterior inverse boundary value problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 10,  42–50  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 28:10 (1984), 54–65 2
31. A. M. Elizarov, A. V. Rubinovskiĭ, “Solvability of some boundary value problems of blasting through a barrier”, Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 6,  25–32  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 28:6 (1984), 31–40
32. L. A. Aksent'ev, A. M. Elizarov, M. I. Kinder, “Inverse boundary value problems for multiply connected domains on Riemann surfaces of genus zero”, Trudy Sem. Kraev. Zadacham, 21 (1984),  19–32  mathnet  mathscinet  zmath 1
1983
33. A. M. Elizarov, “Jet flow around a nonsmooth curvilinear obstacle”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 8,  11–20  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 27:8 (1982), 12–23
34. A. M. Elizarov, “The Leray constraint in application to mixed inverse boundary value problems”, Trudy Sem. Kraev. Zadacham, 20 (1983),  74–92  mathnet  mathscinet  zmath
35. A. M. Elizarov, N. B. Il'inskii, “Determination of the contour of a flood bed from the rate curve in the presence of water pressure”, Trudy Sem. Kraev. Zadacham, 19 (1983),  59–72  mathnet  mathscinet  zmath
1982
36. A. M. Elizarov, “On inverse boundary value problems of mixed type in doubly-connected domains”, Trudy Sem. Kraev. Zadacham, 18 (1982),  53–61  mathnet  mathscinet  zmath
1981
37. A. M. Elizarov, “On a mixed inverse boundary value problem with respect to the parameter $r=|z|$”, Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 12,  26–32  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 25:12 (1981), 26–32
38. A. M. Elizarov, V. V. Seleznev, “Solvability of some mixed inverse boundary value problems on flow around a profile”, Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 11,  3–10  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 25:11 (1981), 1–11
39. A. M. Elizarov, “On an interior mixed inverse boundary value problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 4,  77–79  mathnet  mathscinet  zmath
40. A. M. Elizarov, “On a class of mixed inverse boundary value problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 3,  28–34  mathnet  mathscinet  zmath
41. A. M. Elizarov, “Integral equations of mixed inverse boundary value problems”, Konstr. Teor. Funkts. Funkts. Anal., 3 (1981),  16–25  mathnet  mathscinet  zmath
1980
42. A. M. Elizarov, “Solvability of a mixed inverse boundary value problem for a doubly-connected domain”, Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 9,  73–76  mathnet  mathscinet  zmath
43. A. M. Elizarov, “On the inverse boundary value problem of mixed type of the flow around an arbitrary profile”, Trudy Sem. Kraev. Zadacham, 17 (1980),  56–62  mathnet  mathscinet  zmath
44. A. M. Elizarov, “The investigation of problems of the correctness of outer inverse boundary value problems of mixed type”, Trudy Sem. Kraev. Zadacham, 17 (1980),  44–55  mathnet  mathscinet  zmath
1979
45. A. M. Elizarov, “Proof of the solvability of certain mixed inverse boundary value problems for a regular function”, Izv. Vyssh. Uchebn. Zaved. Mat., 1979, no. 10,  94–98  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 23:10 (1979), 80–84
2022
46. A. M. Elizarov, “Foreword”, Program Systems: Theory and Applications, 13:3 (2022),  3  mathnet; Program Systems: Theory and Applications, 13:3 (2022), 4
2021
47. N. R. Abubakirov, F. G. Avkhadiev, A. V. Aminova, M. M. Arslanov, A. M. Bikchentaev, V. V. Vasin, F. N. Garif'yanov, A. M. Denisov, A. M. Elizarov, N. K. Zamov, B. A. Kats, O. A. Kashina, D. V. Maklakov, V. P. Maksimov, S. R. Nasyrov, N. I. Popov, L. G. Salekhov, R. B. Salimov, S. G. Samko, N. Temirgaliev, E. A. Turilova, Yu. E. Hohlov, P. L. Shabalin, L. N. Shevrin, A. N. Sherstnev, E. A. Shirokova, V. V. Shurygin, “Leonid Aleksandrovich Aksent'ev”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 3,  98–100  mathnet
48. A. M. Elizarov, Y. E. Hohlov, “In memory of our mentor”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 163:1 (2021),  95–112  mathnet
2018
49. L. A. Aksent'ev, A. I. Aptekarev, A. M. Bikchentaev, V. V. Goryainov, V. N. Dubinin, A. M. Elizarov, I. R. Kayumov, A. Laptev, S. R. Nasyrov, D. V. Prokhorov, A. G. Sergeev, V. D. Stepanov, “Farit Gabidinovich Avkhadiev (on his 70th birthday)”, Uspekhi Mat. Nauk, 73:1(439) (2018),  187–190  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 73:1 (2018), 181–185  isi
2001
50. A. M. Elizarov, S. R. Nasyrov, P. L. Ul'yanov, “Fifth Kazan' International Summer School-Conference “Theory of Functions, its Applications and Adjacent Problems””, Uspekhi Mat. Nauk, 56:6(342) (2001),  183–184  mathnet  mathscinet 1
2000
51. A. M. Elizarov, S. R. Nasyrov, P. L. Ul'yanov, “Third Kazan' School-Conference “Theory of Functions, its Applications and Adjacent Problems””, Uspekhi Mat. Nauk, 55:3(333) (2000),  205–206  mathnet 1
1997
52. A. M. Elizarov, S. R. Nasyrov, P. L. Ul'yanov, A. N. Sherstnev, “Second Kazan' School-Conference “Algebra and Analisys””, Uspekhi Mat. Nauk, 52:6(318) (1997),  215  mathnet 1
1996
53. L. A. Aksent'ev, A. M. Elizarov, S. R. Nasyrov, P. L. Ul'yanov, “Second Kazan' School-Conference “Theory of Functions and its Applications””, Uspekhi Mat. Nauk, 51:1(307) (1996),  183–184  mathnet 2
1987
54. A. M. Elizarov, A. V. Kazantsev, “О работе семинара по геометрической теории функций”, Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 12,  77–78  mathnet
1984
55. A. M. Elizarov, A. V. Kosterin, “Научно-исследовательскому институту математики и механики им. Н. Г. Чеботарева–50 лет”, Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 11,  87–88  mathnet
1983
56. A. M. Elizarov, N. B. Il'inskii, “Addendum to the paper: “Determination of the contour of a flood bed from the rate curve in the presence of water pressure””, Trudy Sem. Kraev. Zadacham, 20 (1983),  229  mathnet  mathscinet

Presentations in Math-Net.Ru
1. Вариационные обратные краевые задачи: теория и приложения
A. M. Elizarov
VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev
November 16, 2023 15:55   

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