ordinary differential equations; partial differential equations; dynamical systems; mechanics of particles and systems; mechanics of deformable solids.
Subject:
Development of Asymptotic approaches, in particular Homogenization Method, and applications in Nonlinear Mechanics and Mechanics of Solids.
Biography
Graduated from Faculty of Mathematics and Mechanics of Dnepropetrovsk State University in 1971 (department of applied theory of elasticity). Ph.D. thesis was defended in 1975. D.Sci. thesis was defended in 1987. Associated Professor since 1980. Full Professor since 1990. A list of my works contains more than 200 titles, including 6 books.
1994 International Science Foundation grant. 1996 Soros Professor. Member of AMS, SIAM, GAMM.
Main publications:
Andrianov I. V., Manevitch L. I., Oshmyan V. O. Mechanics of Periodically Heterogeneous Structures. Berlin, Heidelberg: Springer-Verlag, 2002.
Awrejcewicz J., Andrianov I. V., Manevitch L. I. Asymptotic Approaches in Nonlinear Dynamics: New Trends and Applications. Berlin, Heidelberg: Springer-Verlag, 1998.
Andrianov I. V., Manevich L. I. Asimptotologiya: idei, metody, rezultaty. M.: Aslan, 1994.
Obraztsov I. F., Nerubailo B. V., Andrianov I. V. Asimptoticheskie metody v stroitelnoi mekhanike tonkostennykh konstruktsii. M.: Mashinostroenie, 1991.
Andrianov I. V., Lesnichaya V.A., Manevich L. I. Metody osredeneniya v statike i dinamike rebristykh obolochek. M.: Nauka, 1985.
Andrianov I.V., Manevitch L. I. Asymptotology: Ideas, Methods, and Applications. Dordrecht: Kluwer, 2002.
I. V. Andrianov, J. Awrejcewicz, L. I. Manevitch Asymptotical Mechanics of Thin-Walled Structures: A Handbook. Berlin, Springer-Verlag, 2004.
Andrianov I.V., Barantsev R. G., Manevich L. I. Asimptoticheskaya matematika i sinergetika. M.: URSS, 2004
I. V. Andrianov, A. G. Kolpakov, L. Faella, “Asymptotic model of composite piezoelectric beam”, Prikl. Mekh. Tekh. Fiz., 65:2 (2024), 188–197
2.
I. V. Andrianov, A. G. Kolpakov, S. I. Rakin, “Justification of the averaged Joule–Lenz law for composite materials”, Prikl. Mekh. Tekh. Fiz., 65:2 (2024), 138–145
2006
3.
I. V. Andrianov, “Padé approximants and continualization for 1D mass chain”, Matem. Mod., 18:1 (2006), 43–58
I. V. Andrianov, “A new asymptotic method for computing reinforced constructions
taking into account the discreteness of the distributed rods and their
widths”, Dokl. Akad. Nauk, 352:4 (1997), 474–476; Dokl. Math., 42:2 (1997), 84–86
1995
5.
I. V. Andrianov, E. G. Kholod, “On the Van Dyke problem”, Dokl. Akad. Nauk, 344:1 (1995), 46–47; Dokl. Math., 40:9 (1995), 473–475
1994
6.
I. V. Andrianov, “Sequential construction of asymptotic solutions in essentially nonlinear systems”, Dokl. Akad. Nauk, 337:2 (1994), 194–195
1993
7.
I. V. Andrianov, “A new asymptotic method for the integration of equations of
quantum mechanics with strong coupling”, Dokl. Akad. Nauk, 328:5 (1993), 557–558; Dokl. Math., 38:2 (1993), 56–57
1992
8.
I. V. Andrianov, V. M. Verbonol', “Исследование устойчивости стрингерных оболочек при учете неосесимметричной моментности докритического состояния”, Issled. Teor. Plastin i Obolochek, 25 (1992), 41–47
1991
9.
I. F. Obraztsov, I. V. Andrianov, B. V. Nerubailo, “Continual approximation for high-frequency oscillations of a
chain, and composite equations”, Dokl. Akad. Nauk SSSR, 319:1 (1991), 111–112; Dokl. Math., 36:7 (1991), 522
I. V. Andrianov, E. G. Kholod, “Certain exact solutions in the theory of elastic plates”, Prikl. Mekh. Tekh. Fiz., 29:2 (1988), 131–133; J. Appl. Mech. Tech. Phys., 29:2 (1988), 284–286
1987
11.
I. V. Andrianov, A. O. Ivankov, “Application of Padé approximants in the method of introducing a parameter in the investigation of biharmonic equations with complex boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 27:2 (1987), 296–301; U.S.S.R. Comput. Math. Math. Phys., 27:1 (1987), 193–197
I. V. Andrianov, A. N. Pasechnik, “Method of composite equations in the theory of cylindrical shells”, Dokl. Akad. Nauk SSSR, 287:4 (1986), 806–809
13.
I. V. Andrianov, “Constitutive equations of structurally orthotropic cylindrical shells”, Prikl. Mekh. Tekh. Fiz., 27:3 (1986), 152–156; J. Appl. Mech. Tech. Phys., 27:3 (1986), 468–472
2023
14.
I. V. Andrianov, “Essay on the scientific school of L.I. Manevitch. Traditional traits and individual characteristics”, Computer Research and Modeling, 15:6 (2023), 1419–1427
2020
15.
I. V. Andrianov, A. V. Shatrov, “In memory of Rem Georgievich Barantsev”, Computer Research and Modeling, 12:5 (2020), 943–954
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