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Andrei Dmitrievich POLYANIN
Ph.D., D.Sc., Professor |
Born: 1 November 1951
Education and Degrees:
- M.Sc., 1974, Faculty of Mechanics and Mathematics
of the Lomonosov Moscow State University; graduated with honours;
- Ph.D., 1981, Institute for Problems in Mechanics
of the Russian Academy of Sciences, Moscow;
- D.Sc., 1986, Institute for Problems in Mechanics
of the Russian Academy of Sciences, Moscow.
Current Professional Status:
- Professor, Institute for Problems in Mechanics, Russian Academy of Sciences
- Professor, Department of Fundamental Sciences, Bauman Moscow State Technical University
Membership:
- Russian National Committee on Theoretical and Applied Mechanics;
- Mathematics and Mechanics Expert Council,
Higher Certification Committee, Ministry of Education and Science
of the Russian Federation;
- Editorial Board of the Journal
Theoretical Foundations of Chemical Engineering;
- Research Board of Advisors of the American Biographical Institute
- Editorial Advisors of
Research Signpost (India).
Editor:
Honours, Awards and Prizes:
- Chaplygin Prize of the Russian Academy of Sciences, 1991;
- Award from the Ministry of Education of the Russian Federation, 2001;
- Russian State Scientific Stipend to Outstanding Scientists, 1997–2003;
- Listed in numerous biographical reference books and dictionaries
in USA, UK and Russia
Areas of Expertise:
- ordinary differential equations, partial differential equations,
- mathematical physics, integral equations,
- engineering and applied mathematics, nonlinear mechanics,
- heat and mass transfer, fluid mechanics,
- physico-chemical hydrodynamics, chemical engineering sciences
Author:
- More than 30 books in English, Russian,
German, and Bulgarian including some best-selling handbooks;
- more than 150 research papers and three patents.
Main Scientific Publications in English (Books):
- A. D. Polyanin and A. I. Chernoutsan (Eds.),
A Concise Handbook of Mathematics, Physics, and Engineering Sciences,
Chapman & Hall/CRC Press, Boca Raton–London, 2010.
- A. D. Polyanin and A. V. Manzhirov,
Handbook of Integral Equations, Chapman & Hall/CRC Press, Boca Raton–London, 1998 and 2008.
- A. D. Polyanin and A. V. Manzhirov,
Handbook of Mathematics for Engineers and Scientists,
Chapman & Hall/CRC Press, Boca Raton–London, 2007.
- A. D. Polyanin and V. F. Zaitsev,
Handbook of Nonlinear Partial Differential Equations,
Chapman & Hall/CRC Press, Boca Raton–London, 2004.
- A. D. Polyanin and V. F. Zaitsev,
Handbook of Exact Solutions for Ordinary Differential Equations, CRC Press,
Boca Raton–New York, 1995 and 2003.
- A. D. Polyanin,
Handbook of Linear Partial Differential Equations for
Engineers and Scientists, Chapman & Hall/CRC Press,
Boca Raton–London, 2002.
- A. D. Polyanin, V. F. Zaitsev, and A. Moussiaux,
Handbook of First Order Partial Differential Equations,
Taylor & Francis, London, 2002.
- A. D. Polyanin, A. M. Kutepov, et al.,
Hydrodynamics, Mass and Heat Transfer in Chemical Engineering,
Taylor & Francis, London, 2002.
- V. F. Zaitsev and A. D. Polyanin,
Discrete-Group Methods for Integrating
Equations of Nonlinear Mechanics, CRC Press/Begell House,
Boca Raton–Ann Arbor, 1994.
- A. D. Polyanin and V. V. Dilman,
Methods of Modeling Equations and Analogies in Chemical Engineering, CRC Press/Begell House,
Boca Raton–Ann Arbor, 1994.
Selected Articles Since 2000
- Polyanin, A. D., Partial separation of
variables in unsteady problems of mechanics and mathematical physics,
Doklady Physics, Vol. 45, No. 12, pp. 680–684, 2000.
- Polyanin, A. D., The structure of solutions of linear
nonstationary boundary-value problems of mechanics and mathematical physics,
Doklady Physics, Vol. 45, No. 8, pp. 415–418, 2000.
- Polyanin, A. D.,
Linear problems of heat and mass transfer: general relations and results,
Theor. Foundations of Chemical Engineering, Vol. 34, No. 6, pp. 509–520, 2000.
- Polyanin, A. D., Zhurov, A. I., and Vyazmin, A. V.,
Generalized separation of variables in nonlinear heat and mass
transfer equations, J. Non-Equilibrium Thermodynamics,
Vol. 25, No. 3/4, pp. 251–267, 2000.
- Polyanin, A. D., Exact solutions and transformations
of the equations of a stationary laminar boundary layer,
Theor. Foundations of Chemical Engineering, Vol. 35, No. 4, pp. 319–328, 2001.
- Polyanin, A. D.,
Transformations and exact solutions containing arbitrary functions for
boundary-layer equations,
Doklady Physics, Vol. 46, No. 7, pp. 526–531, 2001.
- Zaitsev, V. F. and Polyanin, A. D.,
Exact solutions and transformations of nonlinear heat and wave equations,
Doklady Mathematics, Vol. 64, No. 3, pp. 416–420, 2001.
- Polyanin, A. D. and Zaitsev, V. F.,
Equations of an unsteady-state laminar boundary layer:
General transformations and exact solutions,
Theor. Foundations of Chemical Engineering, Vol. 34, No. 6, pp. 529–539, 2001.
- Polyanin, A. D.,
Exact solutions to the Navier–Stokes equations
with generalized separation of variables,
Doklady Physics, Vol. 46, No. 10, pp. 726–731, 2001.
- Polyanin, A. D. and Zhurov, A. I., The generalized and functional
separation of variables in mathematical physics and mechanics,
Doklady Mathematics, Vol. 65, No. 1, pp. 129–134, 2002.
- Polyanin, A. D. and Zhurov, A. I., Methods of generalized
and functional separation of variables in the hydrodynamic and
heat- and mass- transfer equations,
Theor. Foundations of Chemical Engineering, Vol. 36, No. 3, pp. 201–213, 2002.
- Polyanin, A. D.,
Nonclassical (noninvariant) traveling-wave solutions and self-similar solutions,
Doklady Mathematics, Vol. 70, No. 2, pp. 790–793, 2004.
- Polyanin, A. D., Exact solutions of nonlinear sets of equations
of the theory of heat and mass transfer in reactive media and mathematical biology,
Theor. Foundations of Chemical Engineering, Vol. 38, No. 6, pp. 622–635, 2004.
- Polyanin, A. D., Exact solutions of nonlinear systems of diffusion equations
for reacting media and mathematical biology,
Doklady Mathematics, Vol. 71, No. 1, pp. 148–154, 2005.
- Polyanin, A. D. and Vyazmina, E. A.,
New classes of exact solutions to general nonlinear heat (diffusion) equations,
Doklady Mathematics, Vol. 72, No. 2, pp. 798–801, 2005.
- Polyanin, A. D. and Vyazmina, E. A.,
New classes of exact solutions to nonlinear systems of reaction-diffusion
equations, Doklady Mathematics, Vol. 74, No. 1, pp. 597–602, 2006.
- Vyazmina, E. A. and Polyanin, A. D.,
New classes of exact solutions to general nonlinear diffusion-kinetic equations,
Theor. Foundations of Chemical Engineering, Vol. 40, No. 6, pp. 555–563, 2006.
- Fedotov, I. A., Polyanin, A. D., and Shatalov M. Yu., Theory of free and forced
vibrations of a rigid rod based on the Rayleigh model, Doklady Physics,
Vol. 52, No. 11, pp. 607–612, 2007.
- Polyanin, A. D., Vyazmina, E. A., and Bedrikovetskii, P. G.,
New classes of exact solutions to nonlinear sets of equations in the theory of
filtration and convective mass transfer,
Theor. Foundations of Chemical Engineering, Vol. 41, No. 5, pp. 556–564, 2007.
- Aristov, S. N. and Polyanin, A. D., New classes of exact solutions of Euler equations,
Doklady Physics, Vol. 53, No. 3, pp. 166–171, 2008.
- Polyanin, A. D. and Zhurov, A. I.,
Exact solutions to some classes of nonlinear integral, integro-functional, and integro-differential equations,
Doklady Mathematics, Vol. 419, No. 1, pp. 30–34, 2008.
- Polyanin, A. D.,
New classes of exact solutions to general nonlinear equations and systems of equations
in mathematical physics, Doklady Mathematics, Vol. 421, No. 6, pp. 744–748, 2008.
- Polyanin, A. D., Vyazmina, E. A., and Dilman, V. V.
New methods for processing experimental data: Applicability tests for empirical formulas.
Theor. Foundations of Chemical Engineering, Vol. 42, No. 4, pp. 354–365, 2008.
- Polyanin, A. D., Zhurov, A. I., and Vyazmina, E. A.
Exact solutions to nonlinear equations and systems of equations of general form in mathematical physics,
AIP Conference Proceedings, Vol. 1067, pp. 64–86, 2008.
- Fedotov, I., Gai Y., Polyanin, A., and Shatalov M.,
Analysis for an N-stepped Rayleigh bar with sections of complex geometry.
Applied Mathematical Modelling, Vol. 32, No. 1, pp. 1–11, 2008.
- Polyanin, A. D., Vyazmina, E. A., and Dilman, V. V.
Applicability tests for empirical formulas: Analysis of turbulent flows and general comments.
Theor. Foundations of Chemical Engineering, Vol. 43, No. 2, pp. 119–128, 2009.
- Aristov, S. N. and Polyanin, A. D., Exact solutions of unsteady three-dimensional
Navier–Stokes equations, Doklady Physics, 2009, Vol. 54, No. 7, pp. 316–321
(see also arXiv:0909.0446v1 [physics.flu-dyn]).
- Polyanin, A. D., On the nonlinear instability of the solutions of
hydrodynamic-type systems, JETP Letters, 2009, Vol. 90, No. 3, pp. 217–221.
- Polyanin, A. D. and Aristov, S. N., Systems of hydrodynamic type equations: Exact solutions,
transformations, and nonlinear stability, Doklady Physics, 2009, Vol. 54, No. 9, pp. 429–434
(see also arXiv:0909.1844v1 [physics.flu-dyn]).
- Polyanin, A. D. and Zhurov, A. I.,
The von Mises transformation: order reduction and construction of
Backlund transformations and new integrable equations,
Website EqWorld – The World of Mathematical Equations, 3 July 2009
(see also arXiv:0907.0586v2 [math-ph]).
- Polyanin, A. D. and Zhurov, A. I., The Crocco transformation: order reduction and construction of Backlund transformations and new integrable equations,
arXiv:0907.3170v1 [nlin.SI].
- Aristov, S. N., Knyazev, D. V., and Polyanin, A. D., Exact solutions of the
Navier–Stokes equations with the linear dependence of velocity components of two space variables,
Theor. Foundations of Chemical Engineering, Vol. 43, No. 5, pp. 642–662, 2009.
- Polyanin, A. D., Exact solutions of the
nonlinear instability of the solutions of the Navier–Stokes equations: Formulas for constructing exact solutions,
Theor. Foundations of Chemical Engineering, Vol. 43, No. 6, pp. 881–888, 2009.
- Polyanin, A. D., Von Mises- and Crocco- type transformations: order reduction of nonlinear equations,
RF-pairs and Backlund transformations,
Doklady Mathematics, Vol. 81, No. 1, pp. 160–165, 2010.
- Aristov, S. N. and Polyanin, A. D., New classes of exact solutions and some transformations of the
Navier–Stokes equations,
Russian J. of Mathematical Physics, Vol. 17, No. 1, pp. 1–18, 2010.
Photographs:
Mailing Address:
Institute for Problems in Mechanics
Russian Academy of Sciences
101 Vernadsky Avenue, Bldg 1
119526 Moscow, Russia
Fax: +7 499 739-9531
E-mail: polyanin@ipmnet.ru
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