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Zelik, Sergey Vital'evich

Statistics Math-Net.Ru
Total publications: 23
Scientific articles: 23
Presentations: 4

Number of views:
This page:1915
Abstract pages:10492
Full texts:2998
References:1529
Senior Researcher
Doctor of physico-mathematical sciences (2005)
Birth date: 24.06.1972
E-mail:
Website: https://personal.maths.surrey.ac.uk/st/S.Zelik
Keywords: attractors, exponential attractors, dimension, entropy.
UDC: 517.95, 517.956.8

Subject:

PDEs, attractors.

   
Main publications:
  • S. Zelik: Multiparametrical semigroups and attractors of eaction-diffusion systems in $R^n$, Proc. Moscow Math. Soc., vol. 65, 69–130 (2004).

https://www.mathnet.ru/eng/person8486
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/357918
https://orcid.org/0000-0002-4884-5040
https://www.webofscience.com/wos/author/record/AAS-3031-2021
https://www.scopus.com/authid/detail.url?authorId=55940577500

Publications in Math-Net.Ru Citations
2024
1. A. G. Kostyanko, D. Stone, A. A. Ilyin, S. V. Zelik, “Multi-vortices and lower bounds for the attractor dimension of 2D Navier–Stokes equations”, Dokl. RAN. Math. Inf. Proc. Upr., 516 (2024),  98–102  mathnet  elib; Dokl. Math., 109:2 (2024), 179–182
2. S. V. Zelik, O. V. Pochinka, A. A. Yagilev, “On the Minkowski dimension of some invariant sets of dynamical systems”, Zhurnal SVMO, 26:1 (2024),  32–43  mathnet
2023
3. Q. Chang, D. Li, Ch. Sun, S. V. Zelik, “Deterministic and random attractors for a wave equation with sign changing damping”, Izv. RAN. Ser. Mat., 87:1 (2023),  161–210  mathnet  mathscinet  zmath; Izv. Math., 87:1 (2023), 154–199  isi  scopus 6
4. S. V. Zelik, “Attractors. Then and now”, Uspekhi Mat. Nauk, 78:4(472) (2023),  53–198  mathnet  mathscinet  zmath; Russian Math. Surveys, 78:4 (2023), 635–777  isi  scopus 6
5. S. V. Zelik, A. A. Ilyin, “On a class of interpolation inequalities on the 2D sphere”, Mat. Sb., 214:3 (2023),  120–134  mathnet  mathscinet  zmath; Sb. Math., 214:3 (2023), 396–410  isi  scopus
2022
6. S. V. Zelik, A. A. Ilyin, A. G. Kostyanko, “Estimates for the Dimension of Attractors of a Regularized Euler System with Dissipation on the Sphere”, Mat. Zametki, 111:1 (2022),  54–66  mathnet  mathscinet; Math. Notes, 111:1 (2022), 47–57  isi  scopus 2
2021
7. S. V. Zelik, A. A. Ilyin, A. G. Kostyanko, “Sharp dimension estimates for the attractors of the regularized damped Euler system”, Dokl. RAN. Math. Inf. Proc. Upr., 499 (2021),  13–16  mathnet  zmath  elib; Dokl. Math., 104:1 (2021), 169–172  scopus 2
2020
8. A. K. Savostianov, S. V. Zelik, “Uniform attractors for measure-driven quintic wave equations”, Uspekhi Mat. Nauk, 75:2(452) (2020),  61–132  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 75:2 (2020), 253–320  isi  scopus 8
2019
9. S. V. Zelik, A. A. Ilyin, A. A. Laptev, “On the Lieb–Thirring Constant on the Torus”, Mat. Zametki, 106:6 (2019),  946–950  mathnet  mathscinet  elib; Math. Notes, 106:6 (2019), 1020–1024  isi  scopus 2
2015
10. I. Ovsyannikov, D. Turaev, S. Zelik, “Bifurcation to chaos in the сomplex Ginzburg–Landau equation with large third-order dispersion”, Model. Anal. Inform. Sist., 22:3 (2015),  327–336  mathnet  mathscinet  elib 2
2014
11. Dmitry V. Turaev, Christopher Warner, Sergey Zelik, “Energy Growth for a Nonlinear Oscillator Coupled to a Monochromatic Wave”, Regul. Chaotic Dyn., 19:4 (2014),  513–522  mathnet  mathscinet  zmath  isi
12. S. V. Zelik, A. A. Ilyin, “Green's function asymptotics and sharp interpolation inequalities”, Uspekhi Mat. Nauk, 69:2(416) (2014),  23–76  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 69:2 (2014), 209–260  isi  scopus 11
2013
13. A. Eden, S. V. Zelik, V. K. Kalantarov, “Counterexamples to regularity of Mañé projections in the theory of attractors”, Uspekhi Mat. Nauk, 68:2(410) (2013),  3–32  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 68:2 (2013), 199–226  isi  elib  scopus 17
14. M. I. Vishik, S. V. Zelik, V. V. Chepyzhov, “Regular attractors and nonautonomous perturbations of them”, Mat. Sb., 204:1 (2013),  3–46  mathnet  mathscinet  zmath  elib; Sb. Math., 204:1 (2013), 1–42  isi  scopus 26
2002
15. A. Mielke, S. V. Zelik, “Infinite-dimensional trajectory attractors of elliptic boundary-value problems in cylindrical domains”, Uspekhi Mat. Nauk, 57:4(346) (2002),  119–150  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 57:4 (2002), 753–784  isi  scopus 22
2000
16. S. V. Zelik, “The attractor of a quasilinear hyperbolic equation with dissipation in $\mathbb R^n$: Dimension and $\varepsilon$-entropy”, Mat. Zametki, 67:2 (2000),  304–308  mathnet  mathscinet  zmath; Math. Notes, 67:2 (2000), 248–251  isi 6
1999
17. S. V. Zelik, “An attractor of a nonlinear system of reaction-diffusion equations in $\mathbb R^n$ and estimates for its $\epsilon$-entropy”, Mat. Zametki, 65:6 (1999),  941–944  mathnet  mathscinet  zmath; Math. Notes, 65:6 (1999), 790–792  isi 20
18. M. I. Vishik, S. V. Zelik, “Regular attractor for a non-linear elliptic system in a cylindrical domain”, Mat. Sb., 190:6 (1999),  23–58  mathnet  mathscinet  zmath; Sb. Math., 190:6 (1999), 803–834  isi  scopus 13
1998
19. S. V. Zelik, “A trajectory attractor of a nonlinear elliptic system in an unbounded domain”, Mat. Zametki, 63:1 (1998),  135–138  mathnet  mathscinet  zmath  elib; Math. Notes, 63:1 (1998), 120–123  isi 5
1997
20. S. V. Zelik, “The Mathieu–Hill operator equation with dissipation and estimates of its instability index”, Mat. Zametki, 61:4 (1997),  543–560  mathnet  mathscinet  zmath; Math. Notes, 61:4 (1997), 451–464  isi 2
21. S. V. Zelik, “Boundedness of the solutions of a nonlinear elliptic system in a cylindrical domain”, Mat. Zametki, 61:3 (1997),  447–450  mathnet  mathscinet  zmath  elib; Math. Notes, 61:3 (1997), 365–369  isi 4
1996
22. M. I. Vishik, S. V. Zelik, “The trajectory attractor of a non-linear elliptic system in a cylindrical domain”, Mat. Sb., 187:12 (1996),  21–56  mathnet  mathscinet  zmath; Sb. Math., 187:12 (1996), 1755–1789  isi  scopus 31
1994
23. S. V. Zelik, “Almost-periodic solutions of a class of linear hyperbolic equations”, Mat. Zametki, 56:2 (1994),  146–149  mathnet  mathscinet  zmath; Math. Notes, 56:2 (1994), 865–868  isi 1

Presentations in Math-Net.Ru
1. A sharp Poincare inequality for functions from $W^{1,\infty}$
S. V. Zelik
V. I. Smirnov Seminar on Mathematical Physics
December 18, 2023 15:00   
2. Upper and lower bounds for the attractor’s dimension for damped Euler-Bardina equations
S. V. Zelik
V. I. Smirnov Seminar on Mathematical Physics
October 4, 2021 16:30   
3. Inertial manifolds and finite-dimensional reduction in dissipative PDEs
S. V. Zelik

August 11, 2021 11:00
4. Inertial manifolds for dissipative PDEs
S. V. Zelik
One-Parameter Semigroups of Operators (OPSO) 2021
April 5, 2021 11:00   

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