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В.А.Дородницын

ДОРОДНИЦЫН
Владимир Анатольевич

главный научный сотрудник

доктор физ.-мат. наук

8-499-250-7821

Биография

Родился в 1947 г.

В 1971 окончил МФТИ.

В 1977 защитил кандидатскую, в 1992 — докторскую диссертацию.

С 1973 сотрудник ИПМ им. М.В.Келдыша РАН.

Научные интересы

Нелинейные обыкновенные дифференциальные уравнения и уравнения в частных производных;

Групповой анализ дифференциальных и разностных уравнений, точные решения, первые интегралы, законы сохранения.

Проекты

Проекты РФФИ:

1993-94: N 93-011-1687; Исполнитель;

1994-96: N 94-01-00490, Руководитель;

1996-99: N 96-01-01742, Руководитель;

1999-2001: N 99-01-00188, Руководитель;

2001: N 01-01-14091, Руководитель;

2000-2003: N 00-15-96014, Научная школа, Участник;

2003-2005: N 03-01-00446, Руководитель;

2006-2008: N 06-01-00707, Руководитель;

2006-2008: N 06-01-00707, Руководитель;

2009-2011: N 09-01-00610, Руководитель;

20011-2014: N 12-01-00940, Руководитель;

1996-1998 грант N6662 Министерства науки и технологии, участник;

1995-1996: ISF programme, grant MFA - 300, исполнитель;

1997: SYNODE project: The Norwegian Research Council under contract no.111038/410.

1997: NATO Science Fellowship, 119063/410.

2002-2003: NATO Science Programme, Collaborative Linkage Grant: PST.CLG.978431, Principal Researcher.

2004-2005: Grant of the Royal Swedish Academy of Sciences, “Lie group symmetries of nonlinear integro-differential equations and applications to the kinetic theory and hydrodynamics”, Principal Researcher.

Основные публикации

1.В.А.Дородницын, Ю.П.Попов. О стационарных режимах излучающего сильноточного самосжатого разряда в плазме. ЖВМ и МФ, 13, N 1 (1973), 247-253.

2.В.А.Дородницын, С.П.Курдюмов, Ю.П.Попов, А.А.Самарский. Образование Т-слоев при торможении плазмы магнитным полем. ДАН СССР, 216 (1974), N 6, 1254-1257.

3.В.А.Дородницын. Об инвариантных решениях уравнения нелинейной теплопроводности с источником. ЖВМ МФ, 22 (1982), 1393-1400.

4.V.A.Dorodnitsyn, G.G.Elenin, S.P.Kurdyumov. Exact invariant solutions of some problems for quasi linear parabolic equations. Banakh international mathematical center, Warsaw, Poland, v. 13 (1983), 113-123.

5.В.А.Дородницын, C.Р.Свирщевский, И.В.Князева. Групповые свойства уравнения теплопроводности с источником в двумерном и трехмерном случаях. Диф. Уравнения, 19 (1983), 1215-1223.

6.V.A.Galaktionov, V.A.Dorodnitsyn, G.G.Elenin, S.P.Kurdyumov, A.A. Samarskii. A Quasi linear Heat Transfer Equation with a Source: Blow up, Localization, Symmetry, Exact Solutions, Asymptotics, Structures. Journal of Soviet Mathematics, v.41, N 5, p. 1222-1292, 1988, New York.

7. М.И.Бакирова, С.Н.Димова, В.А.Дородницын, С.П.Курдюмов, А.А.Самарский, С.Р.Свирщевский. Инвариантные решения уравнения теплопроводности, описывающие направленное распространение горения и спиральные волны в нелинейной среде. ДАН СССР, 299 (1988), 346-351. (Translation in Soviet Phys. Dokl. 33 (1988), no 3, 187-189.)

8.V.A.Dorodnitsyn, G.G.Elenin. Symmetry of the nonlinear phenomena, Computers and nonlinear phenomena. Modern Natural Science. - Moscow: Nauka, 1988, 123-191, (Russian).

9.V.A.Dorodnitsyn, S.R.Svirshchevskii. The symmetry of the system of equations of nonlinear optical phase conjugation. Preprint Inst. Appl. Mathem. Acad. Sci. USSR, N 114, 1990, (Russian); see also CRC Handbook of Lie Group Analysis of Differential Equations, Vol. 2, Applications in Engineering and Physical Sciences, CRC Press, 1995, p. 450-452.

10.V.A.Dorodnitsyn. Transformation groups in a space of difference variables. Journal of Soviet Mathematics, 1991 (June), v.55, N 1, Plenum Publishing Corporation, p.1490-1517.

11. В.А.Дородницын. Конечно-разностный аналог теоремы Нетер, ДАН, 1993, v. 328, N6, p.678-682.

12.V.Dorodnitsyn, Invariant discrete model for the Korteweg-de-Vries equation, Preprint of CRM, Centre de Resherches Mathematiques, Universite de Montreal, CRM - 2187, May 1994.

13.V.A.Dorodnitsyn. Finite-difference models entirely inheriting symmetry of original differential equations. Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, p. 191-201, Kluwer Academic Publisher, 1993.

14.M.I.Bakirova, V.A.Dorodnitsyn. Invariant finite-difference model for semilinear heat transfer equation, Journ. Differencialnyie Uravnenia, v.30, N 10, pp. 1697-1702, 1994 (Russian).

15.V.A.Dorodnitsyn. Finite-difference models entirely inheriting continuous symmetry of original differential equations, International Journal of Modern Physics C, (Physics and Computers), vol.5, N4, 1994, p.723-734.

16.V.Dorodnitsyn, Some new invariant difference equations on evolutionary grids, Proceedings of 14-th IMACS World Congress of Computational and Applied Mathematics, V.1, p.143-146, 1994.

17.V.Dorodnitsyn, Continuous symmetries of finite-difference evolution equations and grids, Proceedings of Workshop on Symmetries and Integrability of Difference Equations, CRM, University of Montreal, Vol. 9, p.103-112, 1996.

18.V.Dorodnitsyn, Group theoretical methods for finite difference modeling, Proceedings of the First World Congress of Nonlinear Analysts, Walter de Gruyter, p.979-990, 1996.

19.M.Bakirova, V.Dorodnitsyn, R.Kozlov, Invariant difference schemes for heat transfer equations with a source, J. Phys. A: Math.Gen., 30, 8139-8155, 1997.

20.V.Dorodnitsyn, Noether-type theorems for difference equations, Applied Numerical Mathematics, v. 39, No 3-4, 307-321, 2001; See also: V.Dorodnitsyn, Noether-type theorems for difference equations, Preprint of the Institut des Hautes Etudes Scientifiques, IHES/M/98/27, Bures-sur-Yvette, France, 1998.

21.V.Dorodnitsyn, Conservation Laws for Difference Equations, in Modern Group Analysis VII, Developments in Theory, Computation and Application, ed. by N.H.Ibragimov, K.Razi Naqvi, E.Straume, MARS Publishers, Symmetry Foundation, 91-97, 1999.

22.V.Dorodnitsyn, P.Winternitz, Lie point symmetry preserving discretizations for variable coefficient Korteweg - de -Vries equations, Nonlinear Dynamics, v. 22, No 1, 49-59, Kluwer Academic Publishers, 2000.

23.V.Dorodnitsyn, R.Kozlov, P.Winternitz, Lie group classification of second-order ordinary difference equations, J.Math.Phys., v.41, No 1, 480-504, 2000.

24.V.Dorodnitsyn, Invariant difference model for nonlinear Schroedinger equation with conservation of Lagrangian structure, Proceedings of the International conference MOGRAN 2000, ed. by N.H.Ibragimov , 49-52, Ufa, 2001.

25.C.Budd, V.Dorodnitsyn, Symmetry-adapted moving mesh schemes for the nonlinear Schroedinger equation, J. Phys. A: Math.Gen., v.34, N 48, 10387-10400, 2001.

26.V.Dorodnitsyn, R.Kozlov, A heat transfer with a source: the complete set of invariant difference schemes, J. of Nonlinear Math. Physics, v. 10, N 1, 16-50, 2003.

27.V.Dorodnitsyn, R.Kozlov, P.Winternitz, Symmetries, Lagrangian formalism and integration of second order ODEs, J. of Nonlinear Math. Phys, v.10, N2, 41-56, 2003.

28.V.Dorodnitsyn,R.Kozlov, P.Winternitz, Continuous symmetries of Lagrangians and exact solutions of discrete equations, J. of Math. Physics, 45, No1, 336-359, 2004.

29.V.Dorodnitsyn, Lie group properties of difference equations, MAKS-Press, Moscow, 210 p., 2000. The new edition: Moscow, “Nauka”, 236 p., 2001.

30.V.Dorodnitsyn, On the linearization of second-order differential and difference equations, Sigma, Vol.2 (2006), paper 065, nlin SI/0608038.

31.V.Dorodnitsyn, Non-autonomous dynamical systems and exact solutions with superposition principle for evolution PDEs ,(Russian) 2009. 32. A.Bobylev, V.Dorodnitsyn, Symmetries of evolution equations with non-local operators and applications to the Boltzmann equation, DCDS-A, Vol.24, N1, 35-57, 2009. 33. V.Dorodnitsyn, On the exact difference schemes for second-order difference equations with symmetries, Special issue: Lectures of Applied Mathematics, 327-342, URSS, Moscow, 2009, (Russian).

34. V.Dorodnitsyn, R.Kozlov, Invariance and first integrals of continuous and discrete Hamiltonian equations, Journal of Engineering Mathematics, 2009.

35. V.Dorodnitsyn, R.Kozlov, Lagrangian and Hamiltonian formalism for discrete equations: symmetries and first integrals, SMS Lecture Notes, Cambridge University Press, 2011.

36. V.Dorodnitsyn, Applications of Lie Groups to Difference Equations, Chapman and Hall/CRC, 264 p., 2011.

Библиотека

Ряд полнотекстовых публикаций размещен в общедоступной электронной библиотеке Института.

Обновлено 20 февраля 2013 г.