16 citations to https://www.mathnet.ru/rus/mzm961
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Anna Kostianko, Sergey Zelik, “Smooth extensions for inertial manifolds of semilinear parabolic equations”, Analysis & PDE, 17:2 (2024), 499
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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
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S. V. Zelik, “Attractors. Then and now”, ÓÌÍ, 78:4(472) (2023), 53–198 ; Russian Math. Surveys, 78:4 (2023), 635–777
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Varga Kalantarov, Anna Kostianko, Sergey Zelik, “Determining functionals and finite-dimensional reduction for dissipative PDEs revisited”, Journal of Differential Equations, 345 (2023), 78
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Kostianko A., Li X., Sun Ch., Zelik S., “Inertial Manifolds Via Spatial Averaging Revisited”, SIAM J. Math. Anal., 54:1 (2022), 268–305
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Kostianko A., Zelik S., “Kwak Transform and Inertial Manifolds Revisited”, J. Dyn. Differ. Equ., 2021
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Kwak M., Sun X., “Remarks on the Existence of An Inertial Manifold”, J. Korean. Math. Soc., 58:5 (2021), 1261–1277
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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
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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
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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