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## Polyanin, Andrei D.

Compute Distance To:
 Author ID: polyanin.andrei-d Published as: Polyanin, A. D.; Polyanin, Andrei D.; Poljanin, A. D.; Polyanin, Andrei External Links: ORCID · Wikidata · GND · IdRef
 Documents Indexed: 115 Publications since 1976, including 23 Books
all top 5

#### Co-Authors

 23 single-authored 22 Zhurov, Alexei I. 14 Zaĭtsev, Valentin Fëdorovich 11 Ryazantsev, Yuri S. 9 Gupalo, Yu. P. 7 Sergeev, Yu. A. 6 Manzhirov, Aleksandr Vladimirovich 4 Aristov, Sergeĭ Nikolaevich 4 Dil’man, Viktor Vasil’evich 4 Sorokin, Vsevolod G. 4 Vyaz’mina, E. A. 3 Fedotov, I. A. 3 Kovatcheva, N. T. 3 Shingareva, Inna K. 2 Pryadkin, P. A. 2 Shatalov, M. Yu. 2 Vyazmin, Andrei V. 1 Berman, V. S. 1 Chernoutsan, Alexei I. 1 Fedotov, Igor 1 Gai, Ying 1 Kurdyumov, Vadim N. 1 Lychev, Sergei A. 1 Moussiaux, A. 1 Najdënov, V. I. 1 Nazaikinskii, Vladimir E. 1 Polyanin, V. D. 1 Potapov, E. D. 1 Priadkin, P. A. 1 Shatalov, Michael Y. 1 Shevtsova, Valentina M. 1 Tenkam, H. M. 1 Zaitsev, Vadim Fedorovich 1 Zapryanov, Zapryan
all top 5

#### Serials

 13 Fluid Dynamics 11 International Journal of Heat and Mass Transfer 10 Doklady Mathematics 9 Journal of Applied Mathematics and Mechanics 9 Applied Mathematics Letters 7 Communications in Nonlinear Science and Numerical Simulation 6 Soviet Physics. Doklady 6 Doklady Physics 4 Doklady Akademii Nauk 2 Acta Mechanica 2 Applied Mathematics and Computation 2 Applied Mathematical Modelling 2 Russian Journal of Mathematical Physics 1 Acta Astronautica 1 Journal of Mathematical Analysis and Applications 1 Fluid Mechanics. Soviet Research 1 Journal of Non-Equilibrium Thermodynamics 1 Physics-Doklady 1 Matemática Contemporânea 1 Journal of Nonlinear Mathematical Physics 1 Differential and Integral Equations and Their Applications
all top 5

#### Fields

 52 Fluid mechanics (76-XX) 51 Partial differential equations (35-XX) 35 Classical thermodynamics, heat transfer (80-XX) 20 Ordinary differential equations (34-XX) 10 Numerical analysis (65-XX) 7 General and overarching topics; collections (00-XX) 7 Integral equations (45-XX) 5 Mechanics of deformable solids (74-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH Open

73 Publications have been cited 1,281 times in 1,179 Documents Cited by Year
Handbook of exact solutions for ordinary differential equations. 2nd. ed. Zbl 1015.34001
Polyanin, A. D.; Zaitsev, Valentin F.
2003
Handbook of linear partial differential equations for engineers and scientists. Zbl 1027.35001
Polyanin, A. D.
2002
Handbook of nonlinear partial differential equations. Zbl 1053.35001
Polyanin, Andrei D.; Zaitsev, Valentin F.
2004
Handbook of first order partial differential equations. (Spravochnik po differentsial’nym uravneniyam i chastnymi proizvodnymi pervogo poryadka.) Zbl 1024.35001
Zaitsev, V. F.; Polyanin, A. D.
2003
Handbook of exact solutions for ordinary differential equations. Transl. from the Russian. Zbl 0855.34001
Polyanin, A. D.; Zaitsev, V. F.
1995
Handbook of integral equations. 2nd ed. Zbl 1154.45001
Polyanin, Andrei D.; Manzhirov, Alexander V.
2008
Handbook of integral equations. Zbl 0896.45001
Polyanin, Andrei D.; Manzhirov, Alexander V.
1998
Handbook of first order partial differential equations. Zbl 1031.35001
Polyanin, A. D.; Zaitsev, V. F.; Moussiaux, A.
2002
Handbook of integral equations. (Spravochnik po integral’nym uravneniyam.) Zbl 1021.45001
Polyanin, A. D.; Manzhirov, A. V.
2003
Handbook of mathematics for engineers and scientists. Zbl 1267.00006
Polyanin, Andrei D.; Manzhirov, Alexander V.
2007
Handbook of linear equations of mathematical physics. (Spravochnik po linejnym uravneniyam matematicheskoj fiziki.) Zbl 0989.35001
Polyanin, A. D.
2001
Handbook of nonlinear partial differential equations. 2nd ed. Zbl 1243.35001
Polyanin, Andrei D.; Zaitsev, Valentin F.
2011
Theory of free and forced vibrations of a rigid rod based on the Rayleigh model. Zbl 1423.74389
Fedotov, I. A.; Polyanin, A. D.; Shatalov, M. Yu.
2007
Exact solutions and transformations of heat and wave theory equations. Zbl 1049.35059
Zaitsev, V. F.; Polyanin, A. D.
2001
Handbook of linear partial differential equations for engineers and scientists. 2nd edition. Zbl 1329.35001
Polyanin, Andrei D.; Nazaikinskii, Vladimir E.
2016
Handbook of ordinary differential equations. Exact solutions. (Spravochnik po obyknovennym differentsial’nym uravneniyam. Tochnye resheniya.) Zbl 0877.34001
Zajtsev, V. F.; Polyanin, A. D.
1995
Handbook of ordinary differential equations. Exact solutions, methods, and problems. Zbl 1419.34001
Polyanin, Andrei D.; Zaitsev, Valentin Fedorovich
2018
Handbook of ordinary differential equations. (Spravochnik po obyknovennym differentsial’nym uravneniyam.) Zbl 0999.34001
Zajtsev, V. F.; Polyanin, A. D.
2001
Handbook of integral equations. Exact solutions. Transl. from the Russian and with a preface by Rolf Sulanke. (Handbuch der Integralgleichungen. Exakte Lösungen. Aus dem Russischen übersetzt und mit einem Vorwort von Rolf Sulanke.) Zbl 0916.45001
Polyanin, A. D.; Manzhirov, A. V.
1999
The generalized and functional separation of variables in mathematical physics and mechanics. Zbl 1127.35320
Polyanin, A. D.; Zhurov, A. I.
2002
Longitudinal vibrations of a Rayleigh-Bishop rod. Zbl 1255.74040
Fedotov, I. A.; Polyanin, A. D.; Shatalov, M. Yu.; Tenkam, H. M.
2010
Nonlinear delay reaction-diffusion equations with varying transfer coefficients: exact methods and new solutions. Zbl 1417.35071
Polyanin, Andrei D.; Zhurov, Alexei I.
2014
Exact solutions of unsteady three-dimensional Navier-Stokes equations. Zbl 1423.76087
Aristov, S. N.; Polyanin, A. D.
2009
The method of the ‘carry over’ of integral transforms in nonlinear mass and heat transfer problems. Zbl 0684.76099
Polyanin, A. D.; Dil’man, V. V.
1990
Exact solutions to some classes of nonlinear integral, integro-functional, and integro-differential equations. Zbl 1153.45007
Polyanin, A. D.; Zhurov, A. I.
2008
New classes of exact solutions of Euler equations. Zbl 1257.35142
Aristov, S. N.; Polyanin, Andrei D.
2008
A concise handbook of mathematics, physics, and engineering sciences. Zbl 1216.00001
Polyanin, Andrei D. (ed.); Chernoutsan, Alexei I. (ed.)
2011
Mass transfer in a diffusion trail of a drop in Stokes flow. Zbl 0407.76062
Gupalo, Yu. P.; Polyanin, A. D.; Ryazantsev, Yu. S.
1978
Generalized separation of variables in nonlinear heat and mass transfer equations. Zbl 0987.80003
Polyanin, Andrei D.; Zhurov, Alexei I.; Vyazmin, Andrei V.
2000
Symmetry reductions and new functional separable solutions of nonlinear Klein-Gordon and telegraph type equations. Zbl 1436.81038
Zhurov, Alexei I.; Polyanin, Andrei D.
2020
Generalized and functional separable solutions to nonlinear delay Klein-Gordon equations. Zbl 07175077
Polyanin, Andrei D.; Zhurov, Alexei I.
2014
Generalized traveling-wave solutions of nonlinear reaction-diffusion equations with delay and variable coefficients. Zbl 1407.35047
Polyanin, Andrei D.
2019
Nonlinear delay reaction-diffusion equations: traveling-wave solutions in elementary functions. Zbl 06477097
Polyanin, Andrei D.; Sorokin, Vsevolod G.
2015
Analysis for an $$N$$-stepped Rayleigh bar with sections of complex geometry. Zbl 1135.35082
Fedotov, Igor; Gai, Ying; Polyanin, Andrei; Shatalov, Michael
2008
Von Mises- and Crocco-type transformations: order reduction of nonlinear equations, RF-pairs, and Bäcklund transformations. Zbl 1203.35012
Polyanin, A. D.
2010
Handbook of exact solutions for linear differential equations. Transl. from the Russian. (Handbuch der linearen Differentialgleichungen. Exakte Lösungen. Übers. aus d. Russ.) Zbl 0855.34002
Polyanin, A. D.; Zaitsev, V. F.
1996
New classes of exact solutions and some transformations of the Navier-Stokes equations. Zbl 1192.35128
Aristov, S. N.; Polyanin, A. D.
2010
New methods of the mass and heat transfer theory. II. The methods of asymptotic interpolation and extrapolation. Zbl 0558.76082
Polyanin, A. D.; Dil’man, V. V.
1985
An asymptotic analysis of some nonlinear boundary-value problems of convective mass and heat transfer of reacting particles with the flow. Zbl 0554.76073
Polyanin, A. D.
1984
Shear flow over a porous particle. Zbl 0862.76083
Zhurov, A. I.; Polyanin, A. D.; Potapov, E. D.
1995
Diffusion to a particle at large Peclet numbers in the case of arbitrary axisymmetric flow over a viscous fluid. Zbl 0369.76079
Polyanin, A. D.; Ryazantsev, Yu. S.
1976
Convective diffusion to a particle in a fluid with linear kinetics. Zbl 0451.60075
Polyanin, A. D.; Sergeev, Yu. A.
1979
Discrete-group methods for integrating equations of nonlinear mechanics. Theory, solutions, and applications. Translated from the Russian original. Edited by T. W. Wilcox. Zbl 1070.70500
Zaitsev, Vadim Fedorovich; Polyanin, Andrei D.
1994
On integration of the unsteady equation of heat exchange between bodies moving in fluid. Zbl 0472.76049
Gupalo, Yu. P.; Polyanin, A. D.; Pryadkin, P. A.; Ryazantsev, Yu. S.
1979
Method for solution of some non-linear boundary value problems of a non- stationary diffusion-controlled (thermal) boundary layer. Zbl 0487.76110
Polyanin, A. D.
1982
Exact solutions of two and three-dimensional nonlinear equations of heat and mass transfer. Zbl 1054.80010
Polyanin, A. D.; Vyaz’min, A. V.
2003
New classes of exact solutions to general nonlinear equations and systems of equations in mathematical physics. Zbl 1164.35072
Polyanin, A. D.
2008
Functional separable solutions of nonlinear convection-diffusion equations with variable coefficients. Zbl 1464.35149
Polyanin, Andrei D.
2019
Functional separable solutions of nonlinear reaction-diffusion equations with variable coefficients. Zbl 1428.35171
Polyanin, Andrei D.
2019
Functional constraints method for constructing exact solutions to delay reaction-diffusion equations and more complex nonlinear equations. Zbl 07172421
Polyanin, Andrei D.; Zhurov, Alexei I.
2014
On RF-pairs, Bäcklund transformations and linearization of nonlinear equations. Zbl 1245.35086
Polyanin, A. D.; Zhurov, A. I.
2012
New classes of exact solutions to nonlinear systems of reaction-diffusion equations. Zbl 1141.35350
Polyanin, A. D.; Vyaz’mina, E. A.
2006
Systems of hydrodynamic type equations: exact solutions, transformations, and nonlinear stability. Zbl 1269.76020
Polyanin, A. D.; Aristov, S. N.
2009
New classes of exact solutions to general nonlinear equations and systems of equations in mathematical physics. Zbl 1217.35166
Polyanin, A. D.
2008
New methods of the mass and heat transfer theory. I. The method of asymptotic correction and the method of model equations and analogies. Zbl 0558.76081
Polyanin, A. D.; Dil’man, V. V.
1985
Convective diffusion to a reacting particle in a fluid. Nonlinear surface reaction kinetics. Zbl 0453.76081
Polyanin, A. D.; Sergeev, Yu. A.
1980
Handbook of ordinary differential equations. (Sammlung gewöhnlicher Differentialgleichungen.) Zbl 0873.34001
Poljanin, A. D.; Zaitsev, V. F.
1996
Development of Taylor instability in compressible conducting media in a magnetic field. Zbl 0351.76050
Polyanin, A. D.
1976
Mass transfer interaction of moving particles in a reactive dispersive system. Zbl 0388.76088
Gupalo, Yu. P.; Polyanin, A. D.; Ryazantsev, Yu. S.
1978
Diffusion to a chain of drops (bubbles) at large Peclet numbers. Zbl 0396.76076
Gupalo, Yu. P.; Polyanin, A. D.; Ryazantsev, Yu. S.
1978
Convective diffusion to a solid particle in the case of nonlinear kinetics of heterogeneous chemical reaction. Zbl 0417.76049
Gupalo, Yu. P.; Polyanin, A. D.; Ryazantsev, Yu. S.; Sergeev, Yu. A.
1980
New classes of exact solutions to the nonlinear systems of reaction-diffusion equations. Zbl 1119.35332
Polyanin, A. D.; Vyazmina, E. A.
2006
Integration of nonlinear nonstationary convective heat- and masstransfer equations. Zbl 0466.76087
Polyanin, A. D.
1980
Some general invariance relations in problems of convective heat and mass transfer at large Peclet numbers. Zbl 0496.76035
Gupalo, Yu. P.; Polyanin, A. D.; Ryazantsev, Yu. S.
1981
Convective mass and heat exchange of a reacting particle at low Peclet numbers. Zbl 0515.76116
Polyanin, A. D.
1982
Unsteady-state extraction from a falling droplet with nonlinear dependence of distribution coefficient on concentration. Zbl 0548.76076
Polyanin, A. D.
1984
Functional separable solutions of two classes of nonlinear mathematical physics equations. Zbl 1428.35010
Polyanin, A. D.; Zhurov, A. I.
2019
Separation of variables in PDEs using nonlinear transformations: applications to reaction-diffusion type equations. Zbl 1429.35014
Polyanin, Andrei D.; Zhurov, Alexei I.
2020
Exact separable solutions of delay reaction-diffusion equations and other nonlinear partial functional-differential equations. Zbl 07172420
Polyanin, Andrei D.; Zhurov, Alexei I.
2014
Direct functional separation of variables and new exact solutions to axisymmetric unsteady boundary-layer equations. Zbl 1458.76032
Polyanin, Andrei D.; Zhurov, Alexei I.
2016
New exact solutions of nonlinear wave type PDEs with delay. Zbl 1450.35111
Polyanin, Andrei D.; Sorokin, Vsevolod G.
2020
Parametrically defined nonlinear differential equations, differential-algebraic equations, and implicit ODEs: transformations, general solutions, and integration methods. Zbl 1353.65072
Polyanin, Andrei D.; Zhurov, Alexei I.
2017
Parametrically defined nonlinear differential equations and their solutions: applications in fluid dynamics. Zbl 1338.34038
Polyanin, Andrei D.; Zhurov, Alexei I.
2016
Symmetry reductions and new functional separable solutions of nonlinear Klein-Gordon and telegraph type equations. Zbl 1436.81038
Zhurov, Alexei I.; Polyanin, Andrei D.
2020
Separation of variables in PDEs using nonlinear transformations: applications to reaction-diffusion type equations. Zbl 1429.35014
Polyanin, Andrei D.; Zhurov, Alexei I.
2020
New exact solutions of nonlinear wave type PDEs with delay. Zbl 1450.35111
Polyanin, Andrei D.; Sorokin, Vsevolod G.
2020
Generalized traveling-wave solutions of nonlinear reaction-diffusion equations with delay and variable coefficients. Zbl 1407.35047
Polyanin, Andrei D.
2019
Functional separable solutions of nonlinear convection-diffusion equations with variable coefficients. Zbl 1464.35149
Polyanin, Andrei D.
2019
Functional separable solutions of nonlinear reaction-diffusion equations with variable coefficients. Zbl 1428.35171
Polyanin, Andrei D.
2019
Functional separable solutions of two classes of nonlinear mathematical physics equations. Zbl 1428.35010
Polyanin, A. D.; Zhurov, A. I.
2019
Handbook of ordinary differential equations. Exact solutions, methods, and problems. Zbl 1419.34001
Polyanin, Andrei D.; Zaitsev, Valentin Fedorovich
2018
Parametrically defined nonlinear differential equations, differential-algebraic equations, and implicit ODEs: transformations, general solutions, and integration methods. Zbl 1353.65072
Polyanin, Andrei D.; Zhurov, Alexei I.
2017
Handbook of linear partial differential equations for engineers and scientists. 2nd edition. Zbl 1329.35001
Polyanin, Andrei D.; Nazaikinskii, Vladimir E.
2016
Direct functional separation of variables and new exact solutions to axisymmetric unsteady boundary-layer equations. Zbl 1458.76032
Polyanin, Andrei D.; Zhurov, Alexei I.
2016
Parametrically defined nonlinear differential equations and their solutions: applications in fluid dynamics. Zbl 1338.34038
Polyanin, Andrei D.; Zhurov, Alexei I.
2016
Nonlinear delay reaction-diffusion equations: traveling-wave solutions in elementary functions. Zbl 06477097
Polyanin, Andrei D.; Sorokin, Vsevolod G.
2015
Nonlinear delay reaction-diffusion equations with varying transfer coefficients: exact methods and new solutions. Zbl 1417.35071
Polyanin, Andrei D.; Zhurov, Alexei I.
2014
Generalized and functional separable solutions to nonlinear delay Klein-Gordon equations. Zbl 07175077
Polyanin, Andrei D.; Zhurov, Alexei I.
2014
Functional constraints method for constructing exact solutions to delay reaction-diffusion equations and more complex nonlinear equations. Zbl 07172421
Polyanin, Andrei D.; Zhurov, Alexei I.
2014
Exact separable solutions of delay reaction-diffusion equations and other nonlinear partial functional-differential equations. Zbl 07172420
Polyanin, Andrei D.; Zhurov, Alexei I.
2014
On RF-pairs, Bäcklund transformations and linearization of nonlinear equations. Zbl 1245.35086
Polyanin, A. D.; Zhurov, A. I.
2012
Handbook of nonlinear partial differential equations. 2nd ed. Zbl 1243.35001
Polyanin, Andrei D.; Zaitsev, Valentin F.
2011
A concise handbook of mathematics, physics, and engineering sciences. Zbl 1216.00001
Polyanin, Andrei D.; Chernoutsan, Alexei I.
2011
Longitudinal vibrations of a Rayleigh-Bishop rod. Zbl 1255.74040
Fedotov, I. A.; Polyanin, A. D.; Shatalov, M. Yu.; Tenkam, H. M.
2010
Von Mises- and Crocco-type transformations: order reduction of nonlinear equations, RF-pairs, and Bäcklund transformations. Zbl 1203.35012
Polyanin, A. D.
2010
New classes of exact solutions and some transformations of the Navier-Stokes equations. Zbl 1192.35128
Aristov, S. N.; Polyanin, A. D.
2010
Exact solutions of unsteady three-dimensional Navier-Stokes equations. Zbl 1423.76087
Aristov, S. N.; Polyanin, A. D.
2009
Systems of hydrodynamic type equations: exact solutions, transformations, and nonlinear stability. Zbl 1269.76020
Polyanin, A. D.; Aristov, S. N.
2009
Handbook of integral equations. 2nd ed. Zbl 1154.45001
Polyanin, Andrei D.; Manzhirov, Alexander V.
2008
Exact solutions to some classes of nonlinear integral, integro-functional, and integro-differential equations. Zbl 1153.45007
Polyanin, A. D.; Zhurov, A. I.
2008
New classes of exact solutions of Euler equations. Zbl 1257.35142
Aristov, S. N.; Polyanin, Andrei D.
2008
Analysis for an $$N$$-stepped Rayleigh bar with sections of complex geometry. Zbl 1135.35082
Fedotov, Igor; Gai, Ying; Polyanin, Andrei; Shatalov, Michael
2008
New classes of exact solutions to general nonlinear equations and systems of equations in mathematical physics. Zbl 1164.35072
Polyanin, A. D.
2008
New classes of exact solutions to general nonlinear equations and systems of equations in mathematical physics. Zbl 1217.35166
Polyanin, A. D.
2008
Handbook of mathematics for engineers and scientists. Zbl 1267.00006
Polyanin, Andrei D.; Manzhirov, Alexander V.
2007
Theory of free and forced vibrations of a rigid rod based on the Rayleigh model. Zbl 1423.74389
Fedotov, I. A.; Polyanin, A. D.; Shatalov, M. Yu.
2007
New classes of exact solutions to nonlinear systems of reaction-diffusion equations. Zbl 1141.35350
Polyanin, A. D.; Vyaz&rsquo;mina, E. A.
2006
New classes of exact solutions to the nonlinear systems of reaction-diffusion equations. Zbl 1119.35332
Polyanin, A. D.; Vyazmina, E. A.
2006
Handbook of nonlinear partial differential equations. Zbl 1053.35001
Polyanin, Andrei D.; Zaitsev, Valentin F.
2004
Handbook of exact solutions for ordinary differential equations. 2nd. ed. Zbl 1015.34001
Polyanin, A. D.; Zaitsev, Valentin F.
2003
Handbook of first order partial differential equations. (Spravochnik po differentsial’nym uravneniyam i chastnymi proizvodnymi pervogo poryadka.) Zbl 1024.35001
Zaitsev, V. F.; Polyanin, A. D.
2003
Handbook of integral equations. (Spravochnik po integral’nym uravneniyam.) Zbl 1021.45001
Polyanin, A. D.; Manzhirov, A. V.
2003
Exact solutions of two and three-dimensional nonlinear equations of heat and mass transfer. Zbl 1054.80010
Polyanin, A. D.; Vyaz&rsquo;min, A. V.
2003
Handbook of linear partial differential equations for engineers and scientists. Zbl 1027.35001
Polyanin, A. D.
2002
Handbook of first order partial differential equations. Zbl 1031.35001
Polyanin, A. D.; Zaitsev, V. F.; Moussiaux, A.
2002
The generalized and functional separation of variables in mathematical physics and mechanics. Zbl 1127.35320
Polyanin, A. D.; Zhurov, A. I.
2002
Handbook of linear equations of mathematical physics. (Spravochnik po linejnym uravneniyam matematicheskoj fiziki.) Zbl 0989.35001
Polyanin, A. D.
2001
Exact solutions and transformations of heat and wave theory equations. Zbl 1049.35059
Zaitsev, V. F.; Polyanin, A. D.
2001
Handbook of ordinary differential equations. (Spravochnik po obyknovennym differentsial’nym uravneniyam.) Zbl 0999.34001
Zajtsev, V. F.; Polyanin, A. D.
2001
Generalized separation of variables in nonlinear heat and mass transfer equations. Zbl 0987.80003
Polyanin, Andrei D.; Zhurov, Alexei I.; Vyazmin, Andrei V.
2000
Handbook of integral equations. Exact solutions. Transl. from the Russian and with a preface by Rolf Sulanke. (Handbuch der Integralgleichungen. Exakte Lösungen. Aus dem Russischen übersetzt und mit einem Vorwort von Rolf Sulanke.) Zbl 0916.45001
Polyanin, A. D.; Manzhirov, A. V.
1999
Handbook of integral equations. Zbl 0896.45001
Polyanin, Andrei D.; Manzhirov, Alexander V.
1998
Handbook of exact solutions for linear differential equations. Transl. from the Russian. (Handbuch der linearen Differentialgleichungen. Exakte Lösungen. Übers. aus d. Russ.) Zbl 0855.34002
Polyanin, A. D.; Zaitsev, V. F.
1996
Handbook of ordinary differential equations. (Sammlung gewöhnlicher Differentialgleichungen.) Zbl 0873.34001
Poljanin, A. D.; Zaitsev, V. F.
1996
Handbook of exact solutions for ordinary differential equations. Transl. from the Russian. Zbl 0855.34001
Polyanin, A. D.; Zaitsev, V. F.
1995
Handbook of ordinary differential equations. Exact solutions. (Spravochnik po obyknovennym differentsial’nym uravneniyam. Tochnye resheniya.) Zbl 0877.34001
Zajtsev, V. F.; Polyanin, A. D.
1995
Shear flow over a porous particle. Zbl 0862.76083
Zhurov, A. I.; Polyanin, A. D.; Potapov, E. D.
1995
Discrete-group methods for integrating equations of nonlinear mechanics. Theory, solutions, and applications. Translated from the Russian original. Edited by T. W. Wilcox. Zbl 1070.70500
Zaitsev, Vadim Fedorovich; Polyanin, Andrei D.
1994
The method of the ‘carry over’ of integral transforms in nonlinear mass and heat transfer problems. Zbl 0684.76099
Polyanin, A. D.; Dil&rsquo;man, V. V.
1990
New methods of the mass and heat transfer theory. II. The methods of asymptotic interpolation and extrapolation. Zbl 0558.76082
Polyanin, A. D.; Dil&rsquo;man, V. V.
1985
New methods of the mass and heat transfer theory. I. The method of asymptotic correction and the method of model equations and analogies. Zbl 0558.76081
Polyanin, A. D.; Dil&rsquo;man, V. V.
1985
An asymptotic analysis of some nonlinear boundary-value problems of convective mass and heat transfer of reacting particles with the flow. Zbl 0554.76073
Polyanin, A. D.
1984
Unsteady-state extraction from a falling droplet with nonlinear dependence of distribution coefficient on concentration. Zbl 0548.76076
Polyanin, A. D.
1984
Method for solution of some non-linear boundary value problems of a non- stationary diffusion-controlled (thermal) boundary layer. Zbl 0487.76110
Polyanin, A. D.
1982
Convective mass and heat exchange of a reacting particle at low Peclet numbers. Zbl 0515.76116
Polyanin, A. D.
1982
Some general invariance relations in problems of convective heat and mass transfer at large Peclet numbers. Zbl 0496.76035
Gupalo, Yu. P.; Polyanin, A. D.; Ryazantsev, Yu. S.
1981
Convective diffusion to a reacting particle in a fluid. Nonlinear surface reaction kinetics. Zbl 0453.76081
Polyanin, A. D.; Sergeev, Yu. A.
1980
Convective diffusion to a solid particle in the case of nonlinear kinetics of heterogeneous chemical reaction. Zbl 0417.76049
Gupalo, Yu. P.; Polyanin, A. D.; Ryazantsev, Yu. S.; Sergeev, Yu. A.
1980
Integration of nonlinear nonstationary convective heat- and masstransfer equations. Zbl 0466.76087
Polyanin, A. D.
1980
Convective diffusion to a particle in a fluid with linear kinetics. Zbl 0451.60075
Polyanin, A. D.; Sergeev, Yu. A.
1979
On integration of the unsteady equation of heat exchange between bodies moving in fluid. Zbl 0472.76049
Gupalo, Yu. P.; Polyanin, A. D.; Pryadkin, P. A.; Ryazantsev, Yu. S.
1979
Mass transfer in a diffusion trail of a drop in Stokes flow. Zbl 0407.76062
Gupalo, Yu. P.; Polyanin, A. D.; Ryazantsev, Yu. S.
1978
Mass transfer interaction of moving particles in a reactive dispersive system. Zbl 0388.76088
Gupalo, Yu. P.; Polyanin, A. D.; Ryazantsev, Yu. S.
1978
Diffusion to a chain of drops (bubbles) at large Peclet numbers. Zbl 0396.76076
Gupalo, Yu. P.; Polyanin, A. D.; Ryazantsev, Yu. S.
1978
Diffusion to a particle at large Peclet numbers in the case of arbitrary axisymmetric flow over a viscous fluid. Zbl 0369.76079
Polyanin, A. D.; Ryazantsev, Yu. S.
1976
Development of Taylor instability in compressible conducting media in a magnetic field. Zbl 0351.76050
Polyanin, A. D.
1976
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#### Cited by 1,765 Authors

 44 Kudryashov, Nikolaĭ Alekseevich 33 Polyanin, Andrei D. 24 Macías-Díaz, Jorge Eduardo 13 Popovych, Roman O. 13 Sinelshchikov, Dmitry I. 11 Sophocleous, Christodoulos 11 Wazwaz, Abdul-Majid Abdul-Rahman 8 Sabelfeld, Karl Karlovich 8 Zhurov, Alexei I. 7 Kosov, Aleksandr Arkad’evich 7 Moitsheki, Raseelo J. 7 Vaneeva, Olena O. 6 Cherniha, Roman M. 6 Harko, Tiberiu 6 Mak, Man Kwong 6 Prosviryakov, Evgeniĭ Yur’evich 6 Semenov, Edward Ivanovich 6 Skvortsov, Éduard Viktorovich 6 Socorro, José 6 Tarzia, Domingo Alberto 5 Afonin, S. M. 5 Andreev, Viktor Konstantinovich 5 Barretta, Raffaele 5 Grau-Sánchez, Miquel 5 Ivanova, Nataliya M. 5 Kosterin, Aleksandr Vasil’evich 5 Navickas, Zenonas 5 Noguera, Miquel 5 Panayotounakos, Dimitrios E. 5 Povstenko, Yuriy Z. 5 Ragulskis, Minvydas 5 Rogov, Boris V. 5 Ryabov, Pavel N. 5 Ryazantsev, Yuri S. 5 Telksnys, Tadas 4 Ahmad, Bashir 4 Beĭlin, Aleksandr Borisovich 4 Bradshaw-Hajek, Bronwyn H. 4 David, Claire 4 Derevenskii, V. P. 4 Gupta, Dharmendra Kumar 4 Kazakov, Aleksandr Leonidovich 4 Mennouni, Abdelaziz 4 Momoniat, Ebrahim 4 Natale, María Fernanda 4 Olm, Josep M. 4 Prikazchikov, Danila A. 4 Puri, Ashok 4 Rakhmelevich, Igor’ Vladimirovich 4 Rapoport, Èdgar Yakovlevich 4 Sagaut, Pierre 4 Serov, Mykola I. 4 Shingareva, Inna K. 4 Sorokin, Vsevolod G. 4 Stepanova, Irina V. 4 Theotokoglou, Efstathios E. 4 Xiang, Shuhuang 4 Zakharchenko, Anastasia S. 4 Zhu, Xiaowu 3 Acosta Humánez, Primitivo Belén 3 Anco, Stephen C. 3 Anguelov, Roumen 3 Bahlali, Khaled 3 Beck, James Vere 3 Bedrikovetsky, Pavel G. 3 Bilogliadov, Mykhailo 3 Bokhari, Ashfaque H. 3 Bougoffa, Lazhar 3 Bratsos, Athanassios G. 3 Chandrasekar, V. K. 3 Ding, Xiaohua 3 Dong, Jianping 3 Eriksson, Sirkka-Liisa 3 Fedotov, I. A. 3 Feng, Zhaosheng 3 Fernández-Sáez, José 3 Gapeev, Pavel V. 3 Garra, Roberto 3 Govinder, Keshlan Sathasiva 3 Grau, Àngela 3 Gupalo, Yu. P. 3 Harriott, Tina A. 3 He, Zhimin 3 Idiart, Martín I. 3 Ivanov, Boiko V. 3 Jha, Navnit 3 Kara, Abdul Hamid 3 Kiliçman, Adem 3 Kosmakova, Minzilya Timerbaevna 3 Lakshmanan, Muthusamy 3 Leach, Peter Gavin Lawrence 3 Li, Chong 3 Lipton, Alexander 3 Liu, Hanze 3 Lopez-Pamies, Oscar 3 López, José Luis 3 Magda, Olena V. 3 Marcinkevicius, Romas 3 Marotti de Sciarra, Francesco 3 Orelma, Heikki ...and 1,665 more Authors
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#### Cited in 323 Serials

 80 Applied Mathematics and Computation 33 Journal of Mathematical Analysis and Applications 29 Journal of Mathematical Physics 29 Journal of Computational and Applied Mathematics 28 Applied Mathematics Letters 28 Communications in Nonlinear Science and Numerical Simulation 18 International Journal of Engineering Science 17 Fluid Dynamics 16 Doklady Mathematics 15 Differential Equations 14 Chaos, Solitons and Fractals 14 Mathematical Problems in Engineering 13 Computers & Mathematics with Applications 13 Physics Letters. A 12 Journal of Fluid Mechanics 12 Physica D 12 Applied Numerical Mathematics 12 Applied Mathematical Modelling 12 Journal of Mathematical Sciences (New York) 11 Acta Applicandae Mathematicae 11 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Russian Mathematics 9 Journal of Computational Physics 9 Insurance Mathematics & Economics 9 Nonlinear Dynamics 9 Journal of Applied Mechanics and Technical Physics 9 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya 8 Journal of Computer and Systems Sciences International 8 Regular and Chaotic Dynamics 8 Nonlinear Analysis. Real World Applications 8 Advances in Mathematical Physics 7 Wave Motion 7 Automatica 7 Monte Carlo Methods and Applications 7 Lobachevskii Journal of Mathematics 7 Quantitative Finance 6 Acta Mechanica 6 General Relativity and Gravitation 6 Journal of Engineering Mathematics 6 Mathematical Methods in the Applied Sciences 6 Reports on Mathematical Physics 6 Meccanica 6 Applied Mathematics and Mechanics. (English Edition) 6 Mathematical and Computer Modelling 6 Numerical Algorithms 6 International Journal of Computer Mathematics 6 Journal of Difference Equations and Applications 6 Abstract and Applied Analysis 6 Advances in Difference Equations 6 International Journal of Applied and Computational Mathematics 5 International Journal of Heat and Mass Transfer 5 International Journal of Solids and Structures 5 Journal of Applied Mathematics and Mechanics 5 Physica A 5 Journal of Differential Equations 5 Journal of Functional Analysis 5 Mathematics and Computers in Simulation 5 Numerical Methods for Partial Differential Equations 5 Journal of Integral Equations and Applications 5 Computational Mathematics and Mathematical Physics 5 Physics of Fluids 5 Engineering Analysis with Boundary Elements 5 Mathematics and Mechanics of Solids 5 European Journal of Mechanics. A. Solids 5 Journal of Nonlinear Mathematical Physics 5 Journal of Siberian Federal University. Mathematics & Physics 4 Computer Methods in Applied Mechanics and Engineering 4 International Journal of Theoretical Physics 4 Journal of the Franklin Institute 4 Theoretical and Mathematical Physics 4 Ukrainian Mathematical Journal 4 Prikladnaya Matematika i Mekhanika 4 Journal of Optimization Theory and Applications 4 Results in Mathematics 4 Studies in Applied Mathematics 4 Theoretical Population Biology 4 Statistics & Probability Letters 4 Annals of Physics 4 European Journal of Operational Research 4 International Journal of Modern Physics D 4 Fractional Calculus & Applied Analysis 4 Russian Physics Journal 4 International Journal of Computational Methods 4 Mediterranean Journal of Mathematics 4 Journal of Theoretical Biology 3 Modern Physics Letters A 3 Advances in Applied Probability 3 Archive for Rational Mechanics and Analysis 3 Computer Physics Communications 3 International Journal of Control 3 Journal of the Mechanics and Physics of Solids 3 Journal of Statistical Physics 3 Mathematical Biosciences 3 Physics Letters. B 3 BIT 3 Journal of Economic Theory 3 Transactions of the American Mathematical Society 3 Stochastic Analysis and Applications 3 Vestnik St. Petersburg University. Mathematics ...and 223 more Serials
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#### Cited in 54 Fields

 476 Partial differential equations (35-XX) 217 Numerical analysis (65-XX) 167 Fluid mechanics (76-XX) 158 Ordinary differential equations (34-XX) 111 Mechanics of deformable solids (74-XX) 89 Integral equations (45-XX) 77 Probability theory and stochastic processes (60-XX) 68 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 59 Biology and other natural sciences (92-XX) 55 Classical thermodynamics, heat transfer (80-XX) 54 Dynamical systems and ergodic theory (37-XX) 46 Systems theory; control (93-XX) 43 Quantum theory (81-XX) 37 Operator theory (47-XX) 36 Relativity and gravitational theory (83-XX) 32 Real functions (26-XX) 30 Special functions (33-XX) 28 Statistics (62-XX) 25 Differential geometry (53-XX) 25 Global analysis, analysis on manifolds (58-XX) 24 Statistical mechanics, structure of matter (82-XX) 20 Optics, electromagnetic theory (78-XX) 18 Mechanics of particles and systems (70-XX) 17 Operations research, mathematical programming (90-XX) 16 Integral transforms, operational calculus (44-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 11 Functions of a complex variable (30-XX) 11 Computer science (68-XX) 10 Approximations and expansions (41-XX) 10 Functional analysis (46-XX) 9 Difference and functional equations (39-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 7 Number theory (11-XX) 7 Topological groups, Lie groups (22-XX) 7 Geophysics (86-XX) 6 Combinatorics (05-XX) 6 Potential theory (31-XX) 6 Information and communication theory, circuits (94-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Astronomy and astrophysics (85-XX) 4 Field theory and polynomials (12-XX) 3 General and overarching topics; collections (00-XX) 3 Nonassociative rings and algebras (17-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Measure and integration (28-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX)

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