Zelik Sergey Vital'evich

Publications in Math-Net.Ru

1. Attractor of the limit Navier–Stokes–Voigt system in $\mathbb{R}^4$
   
   Mat. Zametki, 119:2 (2026),  220–227
2. Multi-vortices and lower bounds for the attractor dimension of 2D Navier–Stokes equations
   
   Dokl. RAN. Math. Inf. Proc. Upr., 516 (2024),  98–102
3. On the Minkowski dimension of some invariant sets of dynamical systems
   
   Zhurnal SVMO, 26:1 (2024),  32–43
4. Deterministic and random attractors for a wave equation with sign changing damping
   
   Izv. RAN. Ser. Mat., 87:1 (2023),  161–210
5. Attractors. Then and now
   
   Uspekhi Mat. Nauk, 78:4(472) (2023),  53–198
6. On a class of interpolation inequalities on the 2D sphere
   
   Mat. Sb., 214:3 (2023),  120–134
7. Estimates for the Dimension of Attractors of a Regularized Euler System with Dissipation on the Sphere
   
   Mat. Zametki, 111:1 (2022),  54–66
8. Sharp dimension estimates for the attractors of the regularized damped Euler system
   
   Dokl. RAN. Math. Inf. Proc. Upr., 499 (2021),  13–16
9. Uniform attractors for measure-driven quintic wave equations
   
   Uspekhi Mat. Nauk, 75:2(452) (2020),  61–132
10. On the Lieb–Thirring Constant on the Torus
    
    Mat. Zametki, 106:6 (2019),  946–950
11. Bifurcation to chaos in the сomplex Ginzburg–Landau equation with large third-order dispersion
    
    Model. Anal. Inform. Sist., 22:3 (2015),  327–336
12. Energy Growth for a Nonlinear Oscillator Coupled to a Monochromatic Wave
    
    Regul. Chaotic Dyn., 19:4 (2014),  513–522
13. Green's function asymptotics and sharp interpolation inequalities
    
    Uspekhi Mat. Nauk, 69:2(416) (2014),  23–76
14. Counterexamples to regularity of Mañé projections in the theory of attractors
    
    Uspekhi Mat. Nauk, 68:2(410) (2013),  3–32
15. Regular attractors and nonautonomous perturbations of them
    
    Mat. Sb., 204:1 (2013),  3–46
16. Infinite-dimensional trajectory attractors of elliptic boundary-value problems in cylindrical domains
    
    Uspekhi Mat. Nauk, 57:4(346) (2002),  119–150
17. The attractor of a quasilinear hyperbolic equation with dissipation in $\mathbb R^n$: Dimension and $\varepsilon$-entropy
    
    Mat. Zametki, 67:2 (2000),  304–308
18. 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
19. Regular attractor for a non-linear elliptic system in a cylindrical domain
    
    Mat. Sb., 190:6 (1999),  23–58
20. A trajectory attractor of a nonlinear elliptic system in an unbounded domain
    
    Mat. Zametki, 63:1 (1998),  135–138
21. The Mathieu–Hill operator equation with dissipation and estimates of its instability index
    
    Mat. Zametki, 61:4 (1997),  543–560
22. Boundedness of the solutions of a nonlinear elliptic system in a cylindrical domain
    
    Mat. Zametki, 61:3 (1997),  447–450
23. The trajectory attractor of a non-linear elliptic system in a cylindrical domain
    
    Mat. Sb., 187:12 (1996),  21–56
24. Almost-periodic solutions of a class of linear hyperbolic equations
    
    Mat. Zametki, 56:2 (1994),  146–149