

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., 1987, Institute for Problems in Mechanics
of the Russian Academy of Sciences, Moscow.
Current Professional Status:
Membership:
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,
 functional equations, delay partial differential equations,
 engineering and applied mathematics, nonlinear mechanics,
 heat and mass transfer, fluid mechanics,
 physicochemical hydrodynamics, chemical engineering sciences
Author:
 More than 30 books in English, Russian,
German, and Bulgarian including some bestselling handbooks;
 more than 210 research papers and three patents.
Main Scientific Publications in English (Books):
 A. D. Polyanin and V. F. Zaitsev,
Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, CRC Press, Boca Raton–London, 2017.
 A. D. Polyanin and V. E. Nazaikinskii,
Handbook of Linear Partial Differential Equations for Engineers and Scientists, Second Edition,
CRC Press, Boca Raton–London, 2016.
 A. D. Polyanin and V. F. Zaitsev,
Handbook of Nonlinear Partial Differential Equations,
Chapman & Hall/CRC Press, Boca Raton–London, 2012 and 2004.
 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, 2008 and 1998.
 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 Exact Solutions for Ordinary Differential Equations, CRC Press,
Boca Raton–New York, 2003 and 1995.
 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,
DiscreteGroup 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 2012
 Polyanin, A. D. and Zhurov, A. I.,
On RFpairs, Bäcklund transformations and linearization of nonlinear equations,
Communications in Nonlinear Science and Numerical Simulation, Vol. 17, No. 2, pp. 536–544, 2012.
(See a preprint of the article in ResearchGate)
 Polyanin, A. D. and Zhurov, A. I.,
On order reduction of nonlinear equations of mechanics and mathematical physics,
new integrable equations and
exact solutions, International
Journal of NonLinear Mechanics, Vol. 47, No. 5, pp. 413–417, 2012.
(See a preprint of the article in ResearchGate)
 Polyanin, A. D. and Zhurov, A. I.,
Integration of linear and some model nonlinear equations of
motion of incompressible fluids,
International Journal of NonLinear Mechanics, Vol. 49, pp. 77–83, 2013.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, A. I. Zhurov.
Exact solutions of linear and nonlinear differentialdifference heat and diffusion
equations with finite relaxation time,
International Journal of NonLinear Mechanics,
Vol. 54, pp. 115–126, 2013.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, A. I. Zhurov.
Exact solutions of nonlinear differentialdifference equations of a viscous fluid with finite relaxation time,
International Journal of NonLinear Mechanics,
Vol. 57, p. 116–122, 2013.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, A. I. Zhurov.
Exact separable solutions of delay reactiondiffusion equations and other nonlinear
partial functionaldifferential equations,
Communications in Nonlinear Science and Numerical Simulation,
Vol. 19, No. 3, pp. 409–416, 2014.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, A. I. Zhurov.
Functional constraints method for constructing exact solutions to delay reactiondiffusion equations and more complex nonlinear equations,
Communications in Nonlinear Science and Numerical Simulation,
Vol. 19, No. 3, pp. 417–430, 2014.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, A. I. Zhurov.
New generalized and functional separable solutions to nonlinear delay reactiondiffusion equations,
International Journal of NonLinear Mechanics,
Vol. 59, p. 16–22, 2014.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, A. I. Zhurov.
Generalized and functional separable solutions to nonlinear delay Klein–Gordon equations,
Communications in Nonlinear Science and Numerical Simulation ,
Vol. 19, No. 8, pp. 2676–2689, 2014.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, A. I. Zhurov.
Nonlinear instability and exact solutions to some delay reactiondiffusion systems,
International Journal of NonLinear Mechanics,
Vol. 62, pp. 33–40, 2014.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, A. I. Zhurov.
Nonlinear delay reactiondiffusion equations with varying transfer coefficients: Exact methods and new solutions,
Applied Mathematics Letters,
Vol. 37, pp. 43–48, 2014.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, A. I. Zhurov.
The functional constraints method: Application to nonlinear delay reactiondiffusion equations with varying transfer coefficients,
International Journal of NonLinear Mechanics,
Vol. 67, pp. 267–277, 2014.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, A. I. Zhurov.
The generating equations method: Constructing exact solutions to delay reactiondiffusion systems and other nonlinear coupled delay PDEs,
International Journal of NonLinear Mechanics,
Vol. 71, pp. 104–115, 2015.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, V. G. Sorokin.
Nonlinear delay reactiondiffusion equations: Travelingwave solutions in elementary functions,
Applied Mathematics Letters,
Vol. 46, pp. 38–43, 2015.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, A. I. Zhurov.
Unsteady axisymmetric boundarylayer equations: Transformations, properties, exact solutions, order reduction and solution method,
International Journal of NonLinear Mechanics,
Vol. 74, pp. 40–50, 2015.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, A. I. Zhurov.
Direct functional separation of variables and new exact solutions to axisymmetric unsteady boundarylayer equations,
Communications in Nonlinear Science and Numerical Simulation,
Vol. 31, No. 13, pp. 11–20, 2016.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, A. I. Zhurov.
Functional and generalized separable solutions to unsteady NavierStokes equations,
International Journal of NonLinear Mechanics,
Vol. 79, pp. 88–98, 2016.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, S. A. Lychev.
Decomposition methods for coupled 3D equations of applied mathematics and continuum mechanics: Partial survey, classification, new results, and generalizations,
Applied Mathematical Modelling,
Vol. 40, No. 4, pp. 3298–3324, 2016.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, A. I. Zhurov.
Parametrically defined nonlinear differential equations and their solutions: Applications in fluid dynamics,
Applied Mathematics Letters,
Vol. 55, pp. 72–80, 2016.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, A. I. Zhurov.
Nonisothermal flows of liquid metals and melts: Qualitative features, asymptotic models, problems, exact and approximate solutions,
International Journal of NonLinear Mechanics,
Vol. 82, pp. 104–113, 2016.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, A. I. Zhurov.
Onedimensional reductions and functional separable solutions to unsteady plane and axisymmetric boundarylayer equations for nonNewtonian fluids,
International Journal of NonLinear Mechanics,
Vol. 85, pp. 70–80, 2016.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, A. I. Zhurov.
Parametrically defined nonlinear differential equations, differentialalgebraic equations, and implicit ODEs: Transformations, general solutions, and integration methods,
Applied Mathematics Letters,
Vol. 64, pp. 59–66, 2017.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, I. K. Shingareva.
The use of differential and nonlocal transformations for numerical integration of nonlinear blowup problems,
International Journal of NonLinear Mechanics,
Vol. 95, pp. 178–184, 2017.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, I. K. Shingareva.
Nonmonotonic blowup problems: Test problems with solutions in elementary functions, numerical integration based on nonlocal transformations,
Applied Mathematics Letters,
Vol. 76, pp. 123–129, 2018.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, I. K. Shingareva.
Hypersingular nonlinear boundaryvalue problems with a small parameter,
Applied Mathematics Letters,
Vol. 81, pp. 93–98, 2018.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, I. K. Shingareva.
Nonlinear problems with nonmonotonic blowup solutions: Nonlocal transformations, test problems, exact solutions, and numerical integration,
International Journal of NonLinear Mechanics,
Vol. 99, pp. 258–272, 2018.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, I. K. Shingareva.
Application of nonlocal transformations for numerical integration of singularly perturbed boundaryvalue problems with a small parameter,
International Journal of NonLinear Mechanics,
Vol. 103, pp. 37–54, 2018.
(See a preprint of the article in ResearchGate)
 A. D. Polyanin, I. K. Shingareva.
Overdetermined systems of ODEs with parameters and their applications: The method of differential constraints and the generalized separation of variables in PDEs,
Mathematical Advances in Pure and Applied Sciences,
Vol. 1, No. 1, pp. 1–22, 2018.
(See the article in ResearchGate)
 A. D. Polyanin, I. K. Shingareva.
Nonlinear problems with blowup solutions: Numerical integration based on differential and nonlocal transformations, and differential constraints,
Applied Mathematics and Computation,
Vol. 336, pp. 107–137, 2018.
(See a preprint of the article in ResearchGate)
Google Scholar: List of publications in English
Photographs:
Mailing Address:
Institute for Problems in Mechanics
Russian Academy of Sciences
101 Vernadsky Avenue, Bldg 1
119526 Moscow, Russia
Fax: +7 499 7399531
Email: polyanin@ipmnet.ru


