Persons: Dukhnovskii, Sergei A

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Dukhnovskii, Sergei A

Statistics
in MathSciNet:	9 (9)
in zbMATH:	7 (7)
in Web of Science:	4 (4)
in Scopus:	8 (8)

Candidate of physico-mathematical sciences

Speciality:

01.01.02 (Differential equations, dynamical systems, and optimal control)

E-mail:

https://www.mathnet.ru/eng/person121848

List of publications on Google Scholar

https://elibrary.ru/author_items.asp?authorid=798878

ISTINA

https://istina.msu.ru/workers/253149469

https://orcid.org/0000-0001-9643-7394

https://www.webofscience.com/wos/author/record/ABA-3290-2021

https://www.scopus.com/authid/detail.url?authorId=56600748200

List of publications:

scientific publications

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	S. A. Dukhnovskii, “Secularity condition for the Broadwell kinetic system”, J. Math. Sci. (N. Y.), 291:3 (2025), 381–390
2.	S. A. Dukhnovskii, “Group analysis of the McKean system”, Proceedings of the Voronezh international spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV”, Voronezh, May 3-9, 2023, Part 3, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 232, VINITI, Moscow, 2024, 153–157
3.	S.A. Dukhnovsky, “Solution of the Carleman System Using Group Analysis”, Differencialnie Uravnenia i Protsesy Upravlenia, 2024, no. 2 , 18 pp.
4.	S. A. Dukhnovskii, “Secular condition for the McKean system”, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 1, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 220, VINITI, Moscow, 2023, 44–48
5.	Dukhnovsky, S.A., “Secular terms for the kinetic McKean model”, Differencialnie Uravnenia i Protsesy Upravlenia, 2023, 125–136
6.	S. A. Dukhnovsky, “New exact solutions for the time fractional Broadwell system”, Advanced Studies: Euro-Tbilisi Mathematical Journal, 15:1 (2022), 53-66 https://projecteuclid.org/journals/advanced-studies-euro-tbilisi-mathematical-journal/volume-15/issue-1/New-exact-solutions-for-the-time-fractional-Broadwell-system/10.3251/asetmj/19322008204.short
7.	S. A. Dukhnovskii, “Novye tochnye resheniya dlya dvumernoi sistemy Broduella”, Izvestiya Saratovskogo universiteta. Novaya seriya. Seriya : Matematika. Mekhanika. Informatika., 22:1 (2022), 4-14
8.	S. A. Dukhnovsky, “A self–similar solution and the tanh–function method for the kinetic Carleman system”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2022, no. 1, 99–110	2 ^[x]
9.	S. A. Dukhnovskii, D.A. Zhuravleva, “Analiticheskie resheniya sistemy Karlemana s pomoschyu Penleve-analiza”, Differentsialnye uravneniya i matematicheskoe modelirovanie (Ryazan, 18-20 maya 2022 g.), Ryazanskii gosudarstvennyi universitet imeni S.A. Esenina (Ryazan), 2022, 43-44
10.	S. A. Dukhnovskii, “Test Penleve dlya kineticheskoi sistemy McKean”, Uravneniya v chastnykh proizvodnykh i smezhnye problemy (Belgorod, 15-19 iyulya 2022 g.), NIU BelGU, 2022, 72-73
11.	S. A. Dukhnovskii, “Gruppovoi analiz diskretnoi sistemy Karlemana”, UFIMSKAYa OSENNYaYa MATEMATIChESKAYa ShKOLA — 2022 (Ufa, 28 sentyabrya–1 oktyabrya 2022 g.), Bashkirskii gosudarstvennyi universitet, 2022, 32–33
12.	Sergey Dukhnovsky, “A self-similar solution for the two-dimensional Broadwell system via the Bateman equation”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2022, no. 3, 30–40
13.	S. A. Dukhnovskii, “Global existence theorems of a solution of the Cauchy problem for systems of the kinetic Carleman and Godunov–Sultangazin equations”, Eurasian Math. J., 12:1 (2021), 97–102	4 ^[x]
14.	S. A. Dukhnovskii, “Approximation solution of the McKean system”, J. Math. Sci. (N. Y.), 288:6 (2025), 822–826
15.	Dukhnovsky S.A., “The tanh-function method and the (G′/G)-expansion method for the kinetic McKean system.”, DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2021, no. 2 , 14 pp. www.nnn.ru/~pdf/21206-jdecp-dukhnovsky.pdf
16.	Dukhnovskii, S.A., “Painlevé Test and a Self-Similar Solution of the Kinetic Model”, Journal of Mathematical Sciences, 275 (2023), 613–616
17.	S. A. Dukhnovskii, “Solutions of the Carleman system via the Painlevé expansion”, Vladikavkaz. Mat. Zh., 22:4 (2020), 58–67
18.	Dukhnovsky S.A., “ON SOLUTIONS OF THE KINETIC MCKEAN SYSTEM”, Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 94:3 (2020), 3–11	2 ^[x]
19.	Dukhnovskii S. A., “On the Rate of Stabilization of Solutions to the Cauchy Problem for the Godunov–Sultangazin System with Periodic Initial Data”, J. Math. Sci., 259 (2021), 349–375
20.	S. A. Dukhnovskii, “Asymptotic stability of equilibrium states for Carleman and Godunov–Sultangazin systems of equations”, Moscow University Mathematics Bulletin, 74:6 (2019), 246–248
21.	S.A. Dukhnovskii, “O skorosti stabilizatsii reshenii zadachi Koshi dlya uravneniya Karlemana s periodicheskimi nachalnymi dannymi”, Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo universiteta. Seriya: Fiziko-Matematicheskie Nauki, 21 (2017), 7-41	11 ^[x]
22.	O. A. Vasil’eva, S. A. Dukhnovskii, E. V. Radkevich, “On the Nature of Local Equilibrium in the Carleman and Godunov–Sultangazin Equations”, Journal of Mathematical Sciences, 235 (2018), 392–454
23.	O. A. Vasileva, S. A. Dukhnovskii, “Uslovie sekulyarnosti kineticheskoi sistemy Karlemana”, Vestnik MGSU, 2015, no. 7 , 33-40 pp. http://www.vestnikmgsu.ru/ru/component/sjarchive/issue/article.display/2015/7/33-40	2 ^[x]

Organisations

Moscow State University of Civil Engineering