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Tumanov, Sergey Nickolaevich

Statistics Math-Net.Ru
Total publications: 7
Scientific articles: 7
Presentations: 4

Number of views:
This page:859
Abstract pages:2881
Full texts:2074
References:359
Researcher
Candidate of physico-mathematical sciences
Birth date: 20.11.1976
Keywords: Indefinite metrics, Sturm–Liouville, the Orr–Sommerfeld.

Subject:

The asymptotic behaviour of the spectrum of differential operators

   
Main publications:
  1. S. N. Tumanov, A. A. Shkalikov, “O predelnom povedenii spektra modelnoi zadachi dlya uravneniya Orra–Zommerfelda s profilem Puazeilya”, Izv. RAN. Ser. matem, 66:4 (2002), 177–204
  2. S. N. Tumanov, A. A. Shkalikov, “O lokalizatsii spektra zadachi Orra–Zommerfelda dlya bolshikh chisel Reinoldsa”, Matem. zametki, 72:4 (2002), 561–569
  3. S. N. Tumanov, “Asimptoticheskie formuly dlya veschestvennykh sobstvennykh znachenii zadachi Shturma–Liuvillya s dvumya tochkami povorota”, Izv. RAN. Ser. matem., 65:5 (2001), 153–166
  4. S. N. Tumanov, “Asimptotika sobstvennykh znachenii indefinitnoi zadachi Shturma–Liuvillya s dvumya tochkami povorota”, UMN, 55:5 (2000), 179–180

https://www.mathnet.ru/eng/person9158
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/671450
ISTINA https://istina.msu.ru/workers/35035682
https://orcid.org/0000-0001-7833-0913

Publications in Math-Net.Ru Citations
2024
1. S. N. Tumanov, “Molchanov's criterion for compactness of the resolvent for a nonselfadjoint Sturm–Liouville operator”, Mat. Sb., 215:9 (2024),  125–146  mathnet; Sb. Math., 215:9 (2024), 1249–1268
2023
2. S. N. Tumanov, “On one condition for the discreteness of the spectrum and the compactness of the resolvent of a nonsectorial Sturm–Liouville operator on the semiaxis”, Dokl. RAN. Math. Inf. Proc. Upr., 510 (2023),  39–42  mathnet  elib; Dokl. Math., 107:2 (2023), 117–119 1
2021
3. S. N. Tumanov, “A Completeness Theorem for the System of Eigenfunctions of the Complex Schrödinger Operator with Potential $q(x)=cx^\alpha$”, Mat. Zametki, 109:5 (2021),  797–800  mathnet  elib; Math. Notes, 109:5 (2021), 836–839  isi  scopus
2002
4. S. N. Tumanov, A. A. Shkalikov, “On the limit behaviour of the spectrum of a model problem for the Orr–Sommerfeld equation with Poiseuille profile”, Izv. RAN. Ser. Mat., 66:4 (2002),  177–204  mathnet  mathscinet  zmath; Izv. Math., 66:4 (2002), 829–856  scopus 23
5. S. N. Tumanov, A. A. Shkalikov, “On the Spectrum Localization of the Orr–Sommerfeld Problem for Large Reynolds Numbers”, Mat. Zametki, 72:4 (2002),  561–569  mathnet  mathscinet  zmath; Math. Notes, 72:4 (2002), 519–526  isi  scopus 9
2001
6. S. N. Tumanov, “Asymptotic formulae for the real eigenvalues of the Sturm–Liouville problem with two turning points”, Izv. RAN. Ser. Mat., 65:5 (2001),  153–166  mathnet  mathscinet  zmath; Izv. Math., 65:5 (2001), 1003–1016  scopus 2
2000
7. S. N. Tumanov, “Asymptotics of the eigenvalues of the indefinite Sturm–Liouville problem with two turning points”, Uspekhi Mat. Nauk, 55:5(335) (2000),  179–180  mathnet  mathscinet  zmath; Russian Math. Surveys, 55:5 (2000), 1007–1008  isi  scopus 4

Presentations in Math-Net.Ru
1. On Molchanov's criterion of compactness of a resolvent for a non–self-adjoint Sturm-Liouville operator
S. N. Tumanov
Scientific seminar on the differential and functional differential equations
September 3, 2024 12:00   
2. Точные решения модели Сквайра уравнения Орра–Зоммерфельда для течения Куэтта и аналитическое исследование спектра
S. N. Tumanov

November 11, 2022 16:20
3. Возмущения ангармонического осциллятора и рост резольвенты
S. N. Tumanov
Operator models in mathematical physics
November 22, 2019 16:45
4. The limit spectral graph and eingenvalue asymptotic distribution of the Sturm-Liouville problem with polynomical potential
A. A. Shkalikov, S. N. Tumanov
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 29, 2015 11:40   

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