Persons: Polyanin, Andrei Dmitrievich

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Polyanin, Andrei Dmitrievich

Statistics Math-Net.Ru
Total publications:	28
Scientific articles:	27
Presentations:	1

Number of views:
This page:	1965
Abstract pages:	3755
Full texts:	1728
References:	289

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:

A. D. Polyanin, V. F. Zaitsev, Handbook of Exact Solutions for Ordinary Differential Equations, CRC Press, Boca Raton, 2003
A. D. Polyanin, A. V. Manzhirov, Handbook of Integral Equations, Chapman & Hall/CRC Press, Boca Raton–London, 2008
A. D. Polyanin, V. F. Zaitsev, Handbook of Nonlinear Partial Differential Equations, Chapman & Hall/CRC Press, Boca Raton–London, 2012
A. D. Polyanin, Handbook of Linear Partial Differential Equations for Engineers and Scientists, Chapman & Hall/CRC Press, Boca Raton–London, 2002
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/?q=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
	2022
1.	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 ; Theoret. and Math. Phys., 211:2 (2022), 567–594	11
	2015
2.	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
	2014
3.	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	1
4.	A. D. Polyanin, “Disadvantages of citation index and Hirsch and using other scientometrics”, Mat. Mod. Chisl. Met., 2014, no. 1, 131–144	1
	2009
5.	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 ; JETP Letters, 90:3 (2009), 217–221	7
	2008
6.	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
	1997
7.	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
	1994
8.	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 ; Dokl. Math., 39:7 (1994), 534–537
	1990
9.	V. I. Naidenov, A. D. Polyanin, “Certain nonisothermal flows of fluid”, Prikl. Mekh. Tekh. Fiz., 31:3 (1990), 83–92 ; J. Appl. Mech. Tech. Phys., 31:3 (1990), 419–428	3
	1987
10.	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 ; J. Appl. Mech. Tech. Phys., 28:1 (1987), 10–13	1
	1984
11.	V. I. Naidenov, A. D. Polyanin, “Nonlinear convective-thermal effects in filtration theory and hydrodynamics”, Dokl. Akad. Nauk SSSR, 279:3 (1984), 575–579
12.	A. D. Polyanin, “Three-dimensional diffusive boundary-layer problems”, Prikl. Mekh. Tekh. Fiz., 25:4 (1984), 71–81 ; J. Appl. Mech. Tech. Phys., 25:4 (1984), 562–571	1
13.	A. D. Polyanin, “Nonstationary convective heat and mass transfer of droplets for commensurare phase resistances”, Prikl. Mekh. Tekh. Fiz., 25:3 (1984), 105–116 ; J. Appl. Mech. Tech. Phys., 25:3 (1984), 431–442
14.	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 ; J. Appl. Mech. Tech. Phys., 25:2 (1984), 209–217
	1983
15.	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
	1982
16.	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
17.	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
18.	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
19.	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 ; J. Appl. Mech. Tech. Phys., 23:1 (1982), 29–34	2
	1981
20.	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 ; J. Appl. Mech. Tech. Phys., 22:6 (1981), 856–866
	1980
21.	A. D. Polyanin, “Solution of some nonlinear boundary-layer problems of nonstationary diffusion (heat conduction)”, Dokl. Akad. Nauk SSSR, 254:1 (1980), 53–56
22.	A. D. Polyanin, “Integration of nonlinear nonstationary convective heat- and masstransfer equations”, Dokl. Akad. Nauk SSSR, 251:4 (1980), 817–820
23.	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 ; J. Appl. Mech. Tech. Phys., 21:1 (1980), 40–43
	1979
24.	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
25.	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 ; J. Appl. Mech. Tech. Phys., 20:5 (1979), 606–609
26.	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 ; J. Appl. Mech. Tech. Phys., 20:4 (1979), 421–423
	1978
27.	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 ; J. Appl. Mech. Tech. Phys., 19:1 (1978), 80–83	2

	2024
28.	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

Presentations in Math-Net.Ru

1.	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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