Anna Kostianko, Sergey Zelik, “Smooth extensions for inertial manifolds of semilinear parabolic equations”, Analysis & PDE, 17:2 (2024), 499
Maximilian Engel, Felix Hummel, Christian Kuehn, Nikola Popović, Mariya Ptashnyk, Thomas Zacharis, “Geometric analysis of fast-slow PDEs with fold singularities via Galerkin discretisation”, Nonlinearity, 37:11 (2024), 115017
S. V. Zelik, “Attractors. Then and now”, УМН, 78:4(472) (2023), 53–198 ; Russian Math. Surveys, 78:4 (2023), 635–777
Varga Kalantarov, Anna Kostianko, Sergey Zelik, “Determining functionals and finite-dimensional reduction for dissipative PDEs revisited”, Journal of Differential Equations, 345 (2023), 78
Kostianko A., Li X., Sun Ch., Zelik S., “Inertial Manifolds Via Spatial Averaging Revisited”, SIAM J. Math. Anal., 54:1 (2022), 268–305
Kostianko A., Zelik S., “Kwak Transform and Inertial Manifolds Revisited”, J. Dyn. Differ. Equ., 2021
Kwak M., Sun X., “Remarks on the Existence of An Inertial Manifold”, J. Korean. Math. Soc., 58:5 (2021), 1261–1277
Kostianko A., “Bi-Lipschitz Mane Projectors and Finite-Dimensional Reduction For Complex Ginzburg-Landau Equation”, Proc. R. Soc. A-Math. Phys. Eng. Sci., 476:2239 (2020), 20200144
Chepyzhov V.V., Kostianko A., Zelik S., “Inertial Manifolds For the Hyperbolic Relaxation of Semilinear Parabolic Equations”, Discrete Contin. Dyn. Syst.-Ser. B, 24:3, SI (2019), 1115–1142
Kostianko A. Zelik S., “Nertial Manifolds For 1D Reaction-Diffusion-Advection Systems. Part II: Periodic Boundary Conditions”, Commun. Pure Appl. Anal, 17:1 (2018), 285–317