n M. Efendiev and S. Zelik: Finite dimensional attractors and exponential attractors for degenerate doubly nonlinear equations PDF
n M. Vishik and S. Zelik: Regular attractors and their non-autonomous perturbations PDF
n M. Vishik and S. Zelik: Attractors for the nonlinear elliptic boundary value problems and their parabolic singular limit PDF
n M. Efendiev, A. Miranville and S. Zelik: Exponential attractors for evolution equations PDF
n S. Zelik: A remark on uniform Lyapunov dimension of cascade systems PDF
n H. Berestycki, M. Efendiev and S. Zelik: Dynamical approach for positive solutions of semilinear elliptic problems in unbounded domains PDF
n M.Efendiev and S.Zelik: Global attractor and stabilization for a coupled PDE-ODE system PDF
n M. Grasselli, G. Schimperna and S. Zelik: On the 2D Cahn-Hilliard equation with inertial term PDF
n M. Efendiev and S.Zelik: Finite and infinite dimensional attractors for porous media equations, Proc. R. Soc. London A, vol. 96, 107—135 (2008) PDF
n A. Mielke and S. Zelik: Weak interaction in multi-pulse structures and space-time chaos in reaction-diffusion equations, to appear in Mem. AMS PDF
n S. Gatti, A. Miranville, V. Pata and S. Zelik: Attractors for semilinear equations of viscoelasticity with very low dissipation, to appear in R. Mountain J. Math PDF
n M. Efendiev, A. Miranville and S. Zelik: Dissipative dynamical systems of infinite dimensions, to appear in Enc. of Math. Phys. PDF
n S.Zelik: Weak spatially non-decaying solutions of 3D Navier-Stokes equations in cylindrical domains, in International Math. Series, vol. 5-6, Instability in Models Connected with Fluids Flows, edited by C.Bardos and A.Fursikov, Springer (2008) PDF
n A. Miranville and S. Zelik: Attractors for dissipative partial differential equations in bounded and unbounded domains, to appear in Handbook of Differential Equations, Evolutionary Partial Differential Equations, C.M. Dafermos and M. Pokorny eds., Elsevier, Amsterdam PDF
n F.Plinio, V.Pata and S.Zelik: On the strongly damped wave equation with memory, to appear in Indiana Univ. Math. J. PDF
n S. Gatti, V. Pata and S. Zelik: A Gronwall-type lemma with parameter and dissipative estimates for PDEs, to appear in Nonlinear Analysis PDF
n S. Zelik: Spatial and dynamical chaos generated by reaction-diffusion systems in unbounded domains, Jour. Dyn. Dif. Eqns., vol. 19, no. 1, 1—74 (2007) PDF
n S. Zelik: Spatially nondecaying solutions of 2D Navier-Stokes equations in a strip, Glasgow Math Jour., vol. 49, no. 3, 525—588 (2007) PDF
n A. Miranville and S. Zelik: Finite-dimensionality of attractors for degenerate equations of elliptic-parabolic type, Nonlinearity, vol. 8, 1773—1797 (2007) PDF
n A. Miranville, V. Pata and S.Zelik: Exponential Attractors for Singularly Perturbed Damped Wave Equations: A Simple Construction, Asymptotic Analysis, vol. 53, no. 1-2, 1--12 (2007) PDF
n D. Turaev, S. Zelik and A. Vladimirov: Chaotic bound states of localized structures in the complex Ginzburg-Landau equation, Phys. Rew. E, vol. 75, 045601 (2007) PDF
n A. Mielke and S. Zelik: Infinite-dimensional hyperbolic sets and spatio-temporal chaos in reaction-diffusion systems in R^n, Jour. Dyn. Diff. Eqns, vol 19, no. 2, 333-389 (2007) PDF
n M. Grasselli, V. Pata, A. Miranville and S. Zelik: Long time behavior of a parabolic-hyperbolic phase-field system with a singular potential, Math. Nachr., vol. 13-14,1475-1509, (2007) PDF
n V. Pata and S. Zelik: Attractors and their regularity for the 2D wave equation with nonlinear damping, Adv. Math. Sci. Appl., vol 17, no. 1, 225—237 (2007) PDF
n V. Pata and S. Zelik: A result on the existence of global attractors for semigroups of closed operators. Commun. Pure Appl. Anal., vol 6, no. 2 481—486 (2007) PDF
n V. Pata and S. Zelik: A remark on the damped wave equation, CPAA, vol. 5, N. 3, 609—614 (2006) PDF
n V. Pata and S. Zelik: Smooth attractors for strongly damped wave equations, Nonlinearity, vol. 19 N.7, 1495—1506 (2006) PDF
n S. Zelik: Global averaging and parametric resonances in damped semilinear wave equations. Proc. Roy. Soc. Edinburgh Sect. A, vol. 136, N. 5, 1053—1097 (2006) PDF
n V. Pata and S. Zelik: Global and exponential attractors for 3-D wave equations with displacement dependent damping, Math. Methods Appl. Sci.. vol. 29, N. 11, 1291—1306 (2006) PDF
2005
n M. Efendiev, A. Miranville and S. Zelik: Exponential attractors and finite-dimensional reduction for nonautonomous dynamical systems, Proc. R. Soc. Edinburg Sect. A, vol. 135, 703—730 (2005) PDF
n A. Miranville and S. Zelik: Exponential attractors for the Cahn-Hilliard equation with dynamic boundary conditions, Math. Meth. Appl. Sci, vol. 28, N. 6, 709—735 (2005) PDF
2004
n M. Efendiev, A. Miranville and S. Zelik: Infinite-dimensional exponential attractors for nonlinear reaction-diffusion systems in unbounded domains and their approximation, Proc. R. Soc. London A, vol. 460, N. 2044, 1107—1129 (2004) PDF
n M. Efendiev, A. Miranville and S. Zelik: Exponential attractors for a singular perturbed Cahn-Hilliard system, Math. Nachr., vol. 272, 11—31 (2004) PDF
n S. Zelik: Multiparametrical semigroups and attractors of eaction-diffusion systems in R^n, Proc. Moscow Math. Soc., vol. 65, 69—130 (2004) PDF (in Russian)
n J. Busca, M. Efendiev and S. Zelik: Classification of positive solutions of semilinear equations. Two dimensional case, C. R. Math. Acad. Sci. Paris, vol. 338, N.1, 7—11 (2004), PDF
n S. Zelik: Asymptotic regularity of solutions of singularly perturbed damped wave equations with supercritical nonlinearities, Disc. Cont. Dyn. Sys., vol. 11, N. 2-3, 351—392 (2004) PDF
n M. Efendiev, J. Fuhrmann and S. Zelik: The long-time behaviour of the thermoconvective flow in a porous medium, Math. Meth. Appl. Sci, vol. 27, N. 4, 907—930 (2004) PDF
n A. Miranville and S. Zelik: Robust exponential attractors for Cahn-Hilliard type equations with singular potentials, Math. Meth. Appl. Sci, vol. 27, N. 5, 545—582 (2004) PDF
n M. Efendiev, A. Miranville and S. Zelik: Global and exponential attractors for nonlinear reaction-diffusion systems in unbounded domains, Proc. R. Soc. Edinburg Sect. A, vol. 134, N. 2, 271—315 (2004) PDF
n S. Zelik: Asymptotic regularity of solutions of a nonautonomous damped wave equation with a critical growth exponent, CPAA, vol. 3, N. 4, 921—934 (2004) PDF
n P. Fabrie, C. Galushinski, A. Miranville and S. Zelik: Uniform exponential attractors for a singular perturbed damped wave equation, Disc. Cont. Dyn. Sys., vol. 10, 211—238 (2004) PDF
2003
n D. Turaev and S. Zelik: Homoclinic bifurcations and dimension of attractors for weakly damped nonlinear hyperbolic equations, Nonlinearity, vol. 16, N.6, 2163—2198 (2003) PDF
n S. Zelik: Attractors of reaction-diffusion systems in unbounded domains and their spatial complexity, Comm. Pure Appl. Math., vol. 56, N. 5, 584—637 (2003) PDF
n S. Zelik: Formally gradient reaction-diffusion systems in R^n have zero spatio-temporal topological entropy, Disc. Cont. Dyn. Syst., suppl., 960—966 (2003) PDF
n S. Galushinski and S. Zelik: Uniform Gervey regularity for the attractor of a damped wave equation, Disc. Cont. Dyn. Syst., suppl., 305—312 (2003) PDF
n M. Efendiev and S. Zelik: The regular attractor for the reaction-diffusion system with a nonlinearity rapidly oscillating in time and it's averaging, Adv. Diff. Eqns, vol. 8, N. 6, 673—732 (2003) PDF
n M. Efendiev, A. Miranville, and S. Zelik: Infinite dimensional attractors for a non-autonomous reaction-diffusion system, Math. Nachr., vol. 248-249, N. 1, 72—96 (2003) PDF
2002
n M. Efendiev and S. Zelik: Attractors of the reaction-diffusion systems with rapidly oscillating coefficients and their homogenisation, Ann. Inst. H.Poincare - AN 19, N. 6, 961—989 (2002) PDF
n M. Efendiev and S. Zelik: Upper and lower bounds for the Kolmogorov entropy of the attractor for an RDE in an unbounded domain, J. Dyn. Dif. Eqns, vol. 14, N. 2, 369—403 (2002) PDF
n A. Mielke and S. Zelik: Infinite dimensional trajectory attractors for elliptic problems in cylinders, Russian Math. Survey, vol. 57, N. 4, 119—151 (2002) PDF (in Russian)
n M. Efendiev, H. Gajewski, and S. Zelik: The finite dimensional attractor for a 4th order system of the Cahn-Hillard type with a supercritical nonlinearity, Adv. Diff. Eqns, vol. 7, N. 9, 1073—1100 (2002) PDF
n A. Miranville and S. Zelik: Robust exponential attractors for singularly perturbed phase-field type equations, El. J. Diff. Eqns, vol. 2002, N. 63, 1—28 (2002) PDF
n M. Efendiev, H. Eberl and S. Zelik: Existence and Longtime behavior of solutions of the nonlinear reaction-diffusion system arising in the modelling of biofilms, Nonlinear diffusive systems and related topics (Kyoto, 2001), Surikaisekikenkyusho Kokyuroku, vol. 1258, 49—71 (2001) PDF
n S. Zelik: Spatial and dynamical chaos generated by reaction-diffusion equations in R^ n, Progress in nonlinear science, (Nizhny Novgorod, 2001), RAS, Inst. Appl. Phys., Nizhny Novgorod, 385—388 (2002) PDF
2001
n M. Efendiev and S. Zelik: The attractor for a nonlinear reaction-diffusion system in an unbounded domain, Comm. Pure Appl. Math., vol. 54, N. 6, 625—688 (2001) PDF
n S. Zelik: The attractor for a nonlinear reaction-diffusion system in an unbounded domain and Kolmogorov's epsilon-entropy, Math. Nachr., vol. 232, N. 1, 129—179 (2001) PDF
n S. Zelik: The attractor for a nonlinear hyperbolic equation in an unbounded domain, Disc. Cont. Dyn Sys., vol. 7, N. 3, 593—641 (2001) PDF
n S. Zelik: The dynamics of fast nonautonomous travelling waves and homogenisation, in Proc. of Conf. in Honor of R. Temam's 60th birthday, 7--10 March 2000, Atlantique Editions de l'Actualite Scientifique, Poitou-Charents, 131—142 (2001) PDF
n P. Fabrie, C. Galushinski, A. Miranville and S. Zelik, Continuity of exponential attractors for singular perturbed damped wave equations, in Proc. of Conf. in Honor of R. Temam's 60th birthday, 7--10 of March 2000, Atlantique Editions de l'Actualite Scientifique, Poitou-Charents, 37—47 (2001) PDF
2000
n M. Efendiev, A. Miranville and S. Zelik: Exponential attractors for a nonlinear reaction-diffusion system in R^3, C. R. Math. Acad. Sci. Paris, vol. 330, 713—718 (2000) PDF
n S. Zelik: The attractor for a nonlinear reaction-diffusion system with a supercritical nonlinearity and it's dimension, Rend. Accad. Naz. Sci. XL Mem. Mat. Appl., vol. 24, 1—25 (2000) PDF
n S. Zelik: The attractor for a nonlinear damped hyperbolic equation in R^n: dimension and epsilon-entropy, Math. Notes, vol. 67, N. 2, 304—307 (2000) PDF (in Russian)
1999
n M. Vishik and S. Zelik: The regular attractor for a nonlinear elliptic system in an unbounded domain, Mat. Sbornik, vol. 190, N. 6, 23—58 (1999) PDF
n M. Vishik, B.-W. Schulze, I. Witt and S. Zelik, The trajectory attractor for a nonlinear elliptic system in a cylindrical domain with a piecewise smooth boundary, Rend. Accad. Naz. Sci XL Mem. Mat. Appl., vol. 23, 125—166 (1999) PDF
n S. Zelik: The attractor of a nonlinear reaction-diffusion system in R^n and estimation of it's epsilon-entropy, Math. Notes, vol. 65, N. 6, 941—943 (1999) PDF
n S. Zelik: The attractor for a nonlinear reaction-diffusion system in an unbounded domain and Kolmogorov's epsilon-entropy, in Equadiff 99, Proceedings of the International Conference On Differential Equations, Berlin 1999, eds B.Fiedler, K.Groger and J.Sprekels, 704—710 (1999) PDF
1998
n S. Zelik: The trajectory attractor for a nonlinear elliptic system in an unbounded domain, Math. Notes, vol. 63, N. 1, 135—137 (1998)
1997
n S. Zelik: The trajectory attractor of the nonlinear elliptic system in an unbounded domain, VINITI RAN, 14.11.1997, deponent no. 194, 33--28, B—97, 1—44 (1997)
n S. Zelik: Boundedness of solutions of a nonlinear elliptic equation in a cylindrical domain, Mat. Zam., vol. 51, N. 3, 447—450 (1997) PDF
n S. Zelik: The operator-valued Mathieu-Hill's equation with dissipation and it's instability index, Mat. Zam. vol. 61, N. 4, 543—560 (1997) PDF (in Russian)
1996
n M. Vishik and S. Zelik: The trajectory attractor for a nonlinear elliptic system in an unbounded domain, Mat. Sbornik, vol. 187, N. 12, 21—56 (1996) PDF (in Russian)
n S. Zelik: Attractors of the nonlinear elliptic equations in unbounded domains, Uspehi Mat. Nauk, vol. 6, 127 (1996)
1995
n V. Zelik and S. Zelik: Applications of special space-times for analysing the oscillation processes in nonstationary mechanical systems, UkrNiiNT, deponent, 1995, Uk-95, 1—11 (1995)
n V. Zelik, S. Zelik and I. Golosenin: Dynamics and control of the oscillation activity of mechanisms under the nonstationary exciting, proceedings of the Second International Symposium of Ukrainian Mechanical Engineers, Lviv, 102 (1995)
1994
n S. Zelik: Almost-periodic solutions for a some class of linear hyperbolic equations, Math. Notes, vol. 60, N. 3, 146—147 (1994)
n S. Zelik: The stability of linear hyperbolic equations of the Mathieu's type, Uspehi Mat. Nauk, vol. 50, N. 4(304), 125 (1994)
1988
n V. Zelik and S. Zelik: Applications of the tetradic formalism to mechanical problems, UkrNiiNT, deponent, no. 2684, 20.10.1988, UK-88, 1—11 (1988)
n S. Zelik: Trajectory attractors for the nonlinear elliptic system in an unbounded domain, PhD Thesis, Moscow 1998 PDF (in Russian)
n S. Zelik: Attractors of reaction-diffusion equations in unbounded domains, Habilitation Thesis, Moscow 2004 PDF (in Russian)