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Publications in Math-Net.Ru |
Citations |
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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 ; 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 |
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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 ; Izv. Math., 87:1 (2023), 154–199 |
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4. |
S. V. Zelik, “Attractors. Then and now”, Uspekhi Mat. Nauk, 78:4(472) (2023), 53–198 ; Russian Math. Surveys, 78:4 (2023), 635–777 |
6
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5. |
S. V. Zelik, A. A. Ilyin, “On a class of interpolation inequalities on the 2D sphere”, Mat. Sb., 214:3 (2023), 120–134 ; Sb. Math., 214:3 (2023), 396–410 |
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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 ; Math. Notes, 111:1 (2022), 47–57 |
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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 ; Dokl. Math., 104:1 (2021), 169–172 |
2
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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 ; Russian Math. Surveys, 75:2 (2020), 253–320 |
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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 ; Math. Notes, 106:6 (2019), 1020–1024 |
2
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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 |
2
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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 |
12. |
S. V. Zelik, A. A. Ilyin, “Green's function asymptotics and sharp interpolation inequalities”, Uspekhi Mat. Nauk, 69:2(416) (2014), 23–76 ; Russian Math. Surveys, 69:2 (2014), 209–260 |
11
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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 ; Russian Math. Surveys, 68:2 (2013), 199–226 |
17
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14. |
M. I. Vishik, S. V. Zelik, V. V. Chepyzhov, “Regular attractors and nonautonomous perturbations of them”, Mat. Sb., 204:1 (2013), 3–46 ; Sb. Math., 204:1 (2013), 1–42 |
26
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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 ; Russian Math. Surveys, 57:4 (2002), 753–784 |
22
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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 ; Math. Notes, 67:2 (2000), 248–251 |
6
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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 ; Math. Notes, 65:6 (1999), 790–792 |
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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 ; Sb. Math., 190:6 (1999), 803–834 |
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1998 |
19. |
S. V. Zelik, “A trajectory attractor of a nonlinear elliptic system in an unbounded domain”, Mat. Zametki, 63:1 (1998), 135–138 ; Math. Notes, 63:1 (1998), 120–123 |
5
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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 ; Math. Notes, 61:4 (1997), 451–464 |
2
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21. |
S. V. Zelik, “Boundedness of the solutions of a nonlinear elliptic system in a cylindrical domain”, Mat. Zametki, 61:3 (1997), 447–450 ; Math. Notes, 61:3 (1997), 365–369 |
4
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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 ; Sb. Math., 187:12 (1996), 1755–1789 |
31
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1994 |
23. |
S. V. Zelik, “Almost-periodic solutions of a class of linear hyperbolic equations”, Mat. Zametki, 56:2 (1994), 146–149 ; Math. Notes, 56:2 (1994), 865–868 |
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