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Polyanin, Andrei Dmitrievich
Statistics Math-Net.Ru
Total publications: 30
Scientific articles: 29
Talks: 2

Number of views:
This page:2772
Abstract pages:9223
Full texts:4201
Talk pages:1239
Video records:344
Professor
Doctor of physico-mathematical sciences (1986)
Birth date: 1.11.1951
E-mail:
Website: https://eqworld.ipmnet.ru/polyanin-ew-ru.htm
Keywords: ordinary and partial differential equations, mathematical physics, delay PDEs, integral equations, heat and mass transfer, fluid mechanics, chemical engineering sciences
UDC: 001.89, 001.92:37, 004.738.5

Subject:

Differential and integral equations, mathematical physics, fluid mechanics, heat and mass transfer, chemical engineering sciences
   
Main publications:
  1. A. D. Polyanin, V. F. Zaitsev, Handbook of Exact Solutions for Ordinary Differential Equations, CRC Press, Boca Raton, 2003
  2. A. D. Polyanin, A. V. Manzhirov, Handbook of Integral Equations, Chapman & Hall/CRC Press, Boca Raton–London, 2008
  3. A. D. Polyanin, V. F. Zaitsev, Handbook of Nonlinear Partial Differential Equations, Chapman & Hall/CRC Press, Boca Raton–London, 2012
  4. A. D. Polyanin, Handbook of Linear Partial Differential Equations for Engineers and Scientists, Chapman & Hall/CRC Press, Boca Raton–London, 2002
  5. A. D. Polyanin, “Functional separation of variables in nonlinear PDEs: General approach, new solutions of diffusion-type equations”, Mathematics, 8:1 (2020), 90 (38 pages)

https://www.mathnet.ru/eng/person54605
List of publications on Google Scholar
https://zbmath.org/authors/ai:polyanin.andrei-d
https://elibrary.ru/author_items.asp?authorid=4251
https://orcid.org/0000-0002-2610-0590
https://www.webofscience.com/wos/author/record/E-5121-2015
https://www.scopus.com/authid/detail.url?authorId=7006010305
https://www.researchgate.net/profile/Andrei_Polyanin

Publications in Math-Net.Ru Citations
2025
1. A. D. Polyanin, N. A. Kudryashov, “Exact solutions and reductions of the nonlinear Schrödinger equation of the general form”, Dokl. RAN. Math. Inf. Proc. Upr., 522 (2025),  50–55  mathnet  elib; Dokl. Math., 111:2 (2025), 134–137
2. A. V. Aksenov, A. D. Polyanin, “Review of exact solutions and reductions of Monge–Ampère type equations”, TMF, 224:3 (2025),  494–537  mathnet  mathscinet; Theoret. and Math. Phys., 224:3 (2025), 1527–1566  scopus 2
2022
3. A. V. Aksenov, A. D. Polyanin, “Review of methods for constructing exact solutions of equations of mathematical physics based on simpler solutions”, TMF, 211:2 (2022),  149–180  mathnet  mathscinet; Theoret. and Math. Phys., 211:2 (2022), 567–594  scopus 21
2015
4. A. D. Polyanin, A. I. Zhurov, “Nonlinear delay reaction-diffusion equations with varying transfer coefficients: generalized and functional separable solutions”, Mat. Mod. Chisl. Met., 2015, no. 8,  3–37  mathnet
2014
5. A. D. Polyanin, V. G. Sorokin, A. V. Vyazmin, “Nonlinear delay reaction-diffusion equations of hyperbolic type: Exact solutions and global instability”, Mat. Mod. Chisl. Met., 2014, no. 4,  53–73  mathnet 1
6. A. D. Polyanin, “Disadvantages of citation index and Hirsch and using other scientometrics”, Mat. Mod. Chisl. Met., 2014, no. 1,  131–144  mathnet 1
2009
7. A. D. Polyanin, “On the nonlinear instability of the solutions of hydrodynamic-type systems”, Pis'ma v Zh. Èksper. Teoret. Fiz., 90:3 (2009),  238–242  mathnet; JETP Letters, 90:3 (2009), 217–221  isi  scopus 7
2008
8. A. D. Polyanin, A. I. Zhurov, “Electornic publications and scientific-educational resources of the internet”, Izv. Saratov Univ. Math. Mech. Inform., 8:4 (2008),  61–79  mathnet
1997
9. A. D. Polyanin, A. V. Manzhirov, “The method of model solutions in the theory of linear integral equations”, Dokl. Akad. Nauk, 354:1 (1997),  30–34  mathnet  mathscinet  zmath
1994
10. A. D. Polyanin, A. I. Zhurov, “An algebraic method for the integration of differential equations in nonlinear mechanics”, Dokl. Akad. Nauk, 337:2 (1994),  196–199  mathnet  mathscinet  zmath; Dokl. Math., 39:7 (1994), 534–537
1990
11. V. I. Naidenov, A. D. Polyanin, “Certain nonisothermal flows of fluid”, Prikl. Mekh. Tekh. Fiz., 31:3 (1990),  83–92  mathnet; J. Appl. Mech. Tech. Phys., 31:3 (1990), 419–428 3
1987
12. V. A. Al'vares-Suares, A. D. Polyanin, Yu. S. Ryazantsev, “Laws of coloring of photochromic solutions used in experimental hydrodynamics”, Prikl. Mekh. Tekh. Fiz., 28:1 (1987),  12–15  mathnet; J. Appl. Mech. Tech. Phys., 28:1 (1987), 10–13 1
1984
13. V. I. Naidenov, A. D. Polyanin, “Nonlinear convective-thermal effects in filtration theory and hydrodynamics”, Dokl. Akad. Nauk SSSR, 279:3 (1984),  575–579  mathnet  zmath
14. A. D. Polyanin, “Three-dimensional diffusive boundary-layer problems”, Prikl. Mekh. Tekh. Fiz., 25:4 (1984),  71–81  mathnet; J. Appl. Mech. Tech. Phys., 25:4 (1984), 562–571 3
15. A. D. Polyanin, “Nonstationary convective heat and mass transfer of droplets for commensurare phase resistances”, Prikl. Mekh. Tekh. Fiz., 25:3 (1984),  105–116  mathnet; J. Appl. Mech. Tech. Phys., 25:3 (1984), 431–442 1
16. A. D. Polyanin, “Combined heat and mass transfer for a particle in a gas flow with variable definitive parameters”, Prikl. Mekh. Tekh. Fiz., 25:2 (1984),  48–58  mathnet; J. Appl. Mech. Tech. Phys., 25:2 (1984), 209–217
1983
17. A. D. Polyanin, “Nonlinear problem of nonstationary convective mass transfer between a drop and a continuous phase with comparable phase resistances”, Dokl. Akad. Nauk SSSR, 272:4 (1983),  820–824  mathnet  zmath
1982
18. A. D. Polyanin, “A nonlinear problem of heat and mass transfer to a particle in a gas flow at small Reynolds numbers”, Dokl. Akad. Nauk SSSR, 266:6 (1982),  1315–1319  mathnet  mathscinet
19. A. D. Polyanin, “An asymptotic analysis of certain nonlinear problems of mass and heat exchange between particles and a stream at low Peclet numbers”, Dokl. Akad. Nauk SSSR, 264:6 (1982),  1322–1326  mathnet  zmath
20. A. D. Polyanin, “Convective mass and heat exchange of a reacting particle at low Peclet numbers”, Dokl. Akad. Nauk SSSR, 262:2 (1982),  292–296  mathnet  zmath
21. A. D. Polyanin, “Chemical reaction with heat liberation on the surface of a thermally conductive particle moving in a gas”, Prikl. Mekh. Tekh. Fiz., 23:1 (1982),  34–40  mathnet; J. Appl. Mech. Tech. Phys., 23:1 (1982), 29–34 2
1981
22. A. D. Polyanin, P. A. Pryadkin, “Nonstationary convective heat and mass transfer in a fluid at high Peclet numbers”, Prikl. Mekh. Tekh. Fiz., 22:6 (1981),  135–147  mathnet; J. Appl. Mech. Tech. Phys., 22:6 (1981), 856–866
1980
23. A. D. Polyanin, “Solution of some nonlinear boundary-layer problems of nonstationary diffusion (heat conduction)”, Dokl. Akad. Nauk SSSR, 254:1 (1980),  53–56  mathnet  mathscinet  zmath
24. A. D. Polyanin, “Integration of nonlinear nonstationary convective heat- and masstransfer equations”, Dokl. Akad. Nauk SSSR, 251:4 (1980),  817–820  mathnet  mathscinet  zmath
25. A. D. Polyanin, Yu. A. Sergeev, “Dissolving of a chain of drops (bubbles) in a fluid stream”, Prikl. Mekh. Tekh. Fiz., 21:1 (1980),  45–48  mathnet; J. Appl. Mech. Tech. Phys., 21:1 (1980), 40–43
1979
26. Yu. P. Gupalo, A. D. Polyanin, Yu. S. Ryazantsev, Yu. A. Sergeev, “Convective diffusion to a particle under conditions of the nonlinear kinetics in the three-dimensional flow of viscous fluid”, Dokl. Akad. Nauk SSSR, 245:3 (1979),  547–550  mathnet
27. A. D. Polyanin, Yu. A. Sergeev, “Convective heat and mass transfer in a moving ordered system of drops (bubbles) for high Peclet numbers”, Prikl. Mekh. Tekh. Fiz., 20:5 (1979),  99–103  mathnet; J. Appl. Mech. Tech. Phys., 20:5 (1979), 606–609
28. Yu. P. Gupalo, A. D. Polyanin, Yu. S. Ryazantsev, Yu. A. Sergeev, “Convective mass transfer in a periodic array of spheres”, Prikl. Mekh. Tekh. Fiz., 20:4 (1979),  39–41  mathnet; J. Appl. Mech. Tech. Phys., 20:4 (1979), 421–423
1978
29. Yu. P. Gupalo, A. D. Polyanin, V. D. Polyanin, Yu. S. Ryazantsev, “Asymptotic of solution of problem of convective diffusion to a drop with large Péclet numbers and finite Reynolds numbers”, Prikl. Mekh. Tekh. Fiz., 19:1 (1978),  99–103  mathnet; J. Appl. Mech. Tech. Phys., 19:1 (1978), 80–83 2
2024
30. A. D. Polyanin, I. K. Shingareva, “Non-classical symmetries and reductions of algebraic equations and systems of equations”, Math. Ed., 2024, no. 2(110),  22–34  mathnet

Presentations in Math-Net.Ru
1. Нестационарные уравнения типа Монжа–Ампера: Симметрии и точные решения
A. V. Aksenov, A. D. Polyanin
Mathematical Methods of Mechanics. Conference dedicated to the memory of academician A. G. Kulikovskii
March 18, 2025 14:40   
2. Нелинейная неустойчивость и точные решения реакционно-диффузионных систем уравнений с запаздыванием
A. D. Polyanin
International conference "Contemporary Problems of Mechanics" dedicated to the 80th anniversary of academician A. G. Kulikovskii
March 19, 2013 11:00   

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