

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:
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 190 research papers and three patents.
Main Scientific Publications in English (Books):
 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 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 boundaryvalue 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,
Theoretical 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. NonEquilibrium 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,
Theoretical Foundations of Chemical Engineering, Vol. 35, No. 4, pp. 319–328, 2001.
 Polyanin, A. D.,
Transformations and exact solutions containing arbitrary functions for
boundarylayer 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 unsteadystate laminar boundary layer:
General transformations and exact solutions,
Theoretical 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,
Theoretical Foundations of Chemical Engineering, Vol. 36, No. 3, pp. 201–213, 2002.
 Polyanin, A. D.,
Nonclassical (noninvariant) travelingwave solutions and selfsimilar 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,
Theoretical 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 reactiondiffusion
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 diffusionkinetic equations,
Theoretical 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,
Theoretical 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, integrofunctional, and integrodifferential 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.
Theoretical 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 Nstepped 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.
Theoretical Foundations of Chemical Engineering, Vol. 43, No. 2, pp. 119–128, 2009.
 Aristov, S. N. and Polyanin, A. D., Exact solutions of unsteady threedimensional
Navier–Stokes equations, Doklady Physics, 2009, Vol. 54, No. 7, pp. 316–321
(see also arXiv:0909.0446v1 [physics.fludyn]).
 Polyanin, A. D.,
On the nonlinear instability of the solutions of hydrodynamictype 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.fludyn]).
 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,
Theoretical 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,
Theoretical 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,
RFpairs 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 Journal of Mathematical Physics, Vol. 17, No. 1, pp. 1–18, 2010.
 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.
 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.
 Polyanin, A. D. and Vyazmin, A. V., Decomposition and exact solutions of threedimensional
nonstationary linearized equations for a viscous fluid,
Theoretical Foundations of Chemical Engineering,
Vol. 47, No. 2, pp. 114–123, 2013.
 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.
 Lipatov, I. I. and Polyanin, A. D.,
Decomposition and exact solutions of equations of a weakly compressible barotropic fluid,
Doklady Physics, Vol. 58, No. 3, pp. 116–120, 2013.
 Polyanin, A. D. and Vyazmin, A. V.,
Decomposition of threedimensional linearized equations
for Maxwell and Oldroyd viscoelastic fluids and their generalizations,
Theoretical Foundations of Chemical Engineering,
Vol. 47, No. 4, pp. 321–329, 2013.
 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.
 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.
 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.
 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.
 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.
 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.
 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.
 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.
 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.
 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.
 A. D. Polyanin, V. G. Sorokin.
Nonlinear delay reactiondiffusion equations: Travelingwave solutions in elementary functions,
Applied Mathematics Letters,
Vol. 46, pp. 38–43, 2015.
 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.
 A. D. Polyanin.
Exact solutions of unsteady boundary layer equations for powerlaw nonNewtonian fluids,
Doklady Physics,
Vol. 60, No. 8, pp. 372–376, 2015.
 A. D. Polyanin, V. G. Sorokin, and A. V. Vyazmin.
Exact solutions and qualitative features of nonlinear hyperbolic reactiondiffusion equations with delay,
Theoretical Foundations of Chemical Engineering,
Vol. 49, No. 5, pp. 622–635, 2015.
 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.
 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.
 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.
 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.
 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.
 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.
 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.
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


