Professor Sergey Zelik
Programme Leader
Biography
Research interests
Details can be found on my personal web page.
My publications
Publications
Bartuccelli MV, Deane JHB, Zelik S (2010)Asymptotic expansions and extremals for the critical Sobolev and Gagliardo-Nirenberg inequalities on a torus, In: arXiv
Bridges Thomas J, Kostianko Anna, Zelik Sergey (2021)Validity of the hyperbolic Whitham modulation equations in Sobolev spaces, In: Journal of Differential Equations274pp. 971-995 Elsevier Inc
Grasselli M, Miranville A, Zelik S (2009)Preface, In: Discrete and Continuous Dynamical Systems - Series S2(1)
Chepyzhov VV, Vishik MI, Zelik Sergey (2011)Strong trajectory attractors for dissipative Euler equations, In: Journal des Mathematiques Pures et Appliquees96pp. 395-407 Elsevier Masson
Kalantarov V, Zelik S (2009)Finite-dimensional attractors for the quasi-linear strongly-damped wave equation, In: JOURNAL OF DIFFERENTIAL EQUATIONS247(4)pp. 1120-1155 ACADEMIC PRESS INC ELSEVIER SCIENCE
Efendiev M, Zelik S (2009)Finite-dimensional attractors and exponential attractors for degenerate doubly nonlinear equations, In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES32(13)pp. 1638-1668 JOHN WILEY & SONS LTD
Segatti A, Zelik S (2009)Finite-dimensional global and exponential attractors for the reaction-diffusion problem with an obstacle potential, In: NONLINEARITY22(11)pp. 2733-2760 IOP PUBLISHING LTD
Cherfils L, Miranville A, Zelik S (2011)The Cahn-Hilliard Equation with Logarithmic Potentials, In: Milan Journal of Mathematics79(2)pp. 561-596 Springer
Miranville A, Zelik S (2009)Doubly nonlinear Cahn-Hilliard-Gurtin equations, In: HOKKAIDO MATHEMATICAL JOURNAL38(2)pp. 315-360
Turaev D, Zelik S (2003)Homoclinic bifurcations and dimension of attractors for damped nonlinear hyperbolic equations, In: NONLINEARITY16(6)PII S0951-pp. 2163-2198 IOP PUBLISHING LTD
Fabrie P, Galusinski C, Miranville A, Zelik S (2004)Uniform exponential attractors for a singularly perturbed damped wave equation, In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS10(1-2)pp. 211-238 AMER INST MATHEMATICAL SCIENCES
Turaev D, Vladimirov AG, Zelik S (2007)Chaotic bound state of localized structures in the complex Ginzburg-Landau equation, In: PHYSICAL REVIEW E75(4)ARTN 0pp. ?-? AMERICAN PHYSICAL SOC
Zelik SV (1999)An attractor of a nonlinear system of reaction-diffusion equations in R-n and estimates of its epsilon-entropy, In: MATHEMATICAL NOTES65(5-6)pp. 790-793 PLENUM PUBL CORP
Vishik MI, Zelik SV (1996)The trajectory attractor of a non-linear elliptic system in a cylindrical domain, In: SBORNIK MATHEMATICS187(11-12)pp. 1755-1789 LONDON MATHEMATICAL SOCIETY RUSSIAN ACAD SCIENCES
Efendiev M, Miranville A, Zelik S (2004)Global and exponential attractors for nonlinear react ion-diffusion systems in unbounded domains, In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS134pp. 271-315 ROYAL SOC EDINBURGH
Zelik S (2008)On the Lyapunov dimension of cascade systems, In: COMMUN PUR APPL ANAL7(4)pp. 971-985 AMER INST MATHEMATICAL SCIENCES
Vishik MI, Zelik SV (1999)Regular attractor for a non-linear elliptic system in a cylindrical domain, In: SBORNIK MATHEMATICS190(5-6)pp. 803-834 LONDON MATHEMATICAL SOCIETY RUSSIAN ACAD SCIENCES
Zelik SV, Chepyzhov VV (2014)Regular attractors of autonomous and nonautonomous dynamical systems, In: DOKLADY MATHEMATICS89(1)pp. 92-97 MAIK NAUKA/INTERPERIODICA/SPRINGER
Efendiev MA, Fuhrmann J, Zelik SV (2004)The long-time behaviour of the thermoconvective flow in a porous medium, In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES27(8)pp. 907-930 JOHN WILEY & SONS LTD
Miranville A, Zelik S (2004)Robust exponential attractors for Cahn-Hilliard type equations with singular potentials, In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES27(5)pp. 545-582 JOHN WILEY & SONS LTD
Efendiev M, Miranville A, Zelik S (2004)Infinite-dimensional exponential attractors for nonlinear reaction-diffusion systems in unbounded domains and their approximation, In: PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES460(2044)pp. 1107-1129 ROYAL SOC
Turaev DV, Warner C, Zelik S (2014)Energy growth for a nonlinear oscillator coupled to a monochromatic wave, In: REGULAR & CHAOTIC DYNAMICS19(4)pp. 513-522 MAIK NAUKA/INTERPERIODICA/SPRINGER
Zelik SV (2003)Attractors of reaction-diffusion systems in unbounded domains and their spatial complexity, In: COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS56(5)pp. 584-637 JOHN WILEY & SONS INC
Zelik SV, Ilyin AA (2014)Green's function asymptotics and sharp interpolation inequalities, In: Russian Mathematical Surveys69(2)pp. 209-260
Gatti S, Miranville A, Pata V, Zelik S (2008)Attractors for semi-linear equations of viscoelasticity with very low dissipation, In: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS38(4)pp. 1117-1138 ROCKY MT MATH CONSORTIUM
Kalantarov V, Savostianov A, Zelik S (2013)Attractors for damped quintic wave equations in bounded domains
Gatti S, Pata V, Zelik S (2009)A Gronwall-type lemma with parameter and dissipative estimates for PDEs, In: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS70(6)pp. 2337-2343 PERGAMON-ELSEVIER SCIENCE LTD
Efendiev M, Miranville A, Zelik S (2003)Infinite dimensional exponential attractors for a non-autonomous react ion-diffusion system, In: MATHEMATISCHE NACHRICHTEN248pp. 72-96 WILEY-V C H VERLAG GMBH
Savostianov A, Zelik S (2014)Smooth attractors for the quintic wave equations with fractional damping, In: ASYMPTOTIC ANALYSIS87(3-4)pp. 191-221 IOS PRESS
Vishik MI, Chepyzhov VV, Zelik SV (2013)Regular attractors and nonautonomous perturbations of them, In: Sbornik Mathematics204(1)pp. 1-42
Zelik SV (1998)A trajectory attractor of a nonlinear elliptic system in an unbounded domain, In: MATHEMATICAL NOTES63(1-2)pp. 120-123 PLENUM PUBL CORP
Efendiev M, Miranville A, Zelik S (2004)Exponential attractors for a singularly perturbed Cahn-Hilliard system, In: MATHEMATISCHE NACHRICHTEN272pp. 11-31 WILEY-V C H VERLAG GMBH
Di Plinio F, Pata V, Zelik S (2008)On the strongly damped wave equation with memory, In: INDIANA UNIVERSITY MATHEMATICS JOURNAL57pp. 757-780
Zelik S (2015)STRONG UNIFORM ATTRACTORS FOR NON-AUTONOMOUS DISSIPATIVE PDES WITH NON TRANSLATION-COMPACT EXTERNAL FORCES, In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B20(3)pp. 781-810 AMER INST MATHEMATICAL SCIENCES
Grasselli M, Miranville A, Pata V, Zelik S (2007)Well-posedness and long time behavior of a parabolic-hyperbolic phase-field system with singular potentials, In: MATHEMATISCHE NACHRICHTEN280(13-14)pp. 1475-1509 WILEY-V C H VERLAG GMBH
Efendiev M, Zelik S (2008)Finite- and infinite-dimensional attractors for porous media equations, In: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY96pp. 51-77 LONDON MATH SOC
Anthony P, Zelik S (2014)Infinite-energy solutions for the Navier-Stokes equations in a strip revisited, In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS13(4)pp. 1361-1393 AMER INST MATHEMATICAL SCIENCES
Kostianko A, Zelik S (2015)Inertial manifolds for the 3D Cahn-Hilliard equations with periodic boundary conditions., In: Communications on Pure and Applied Analysis14(5)pp. 2069-2094 AMER INST MATHEMATICAL SCIENCES
Pata V, Zelik S (2006)A remark on the damped wave equation, In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS5(3)pp. 609-614 AMER INST MATHEMATICAL SCIENCES
Ilyin A, Laptev A, Loss M, Zelik S (2015)One-dimensional interpolation inequalities, Carlson--Landau inequalities and magnetic Schrodinger operators, In: International Mathematics Research Notices Oxford University Press
Schimperna G, Zelik S (2010)Existence of solutions and separation from singularities for a class of fourth order degenerate parabolic equations, In: arXiv
Savostianov A, Zelik S (2015)Finite Dimensionality of the attractor for the hyperbolic Cahn-Hilliard-Oono Equation in R3, In: Mathematical Methods in the Applied Sciences39(5)pp. 1254-1267
Miranville A, Zelik S (2010)THE CAHN-HILLIARD EQUATION WITH SINGULAR POTENTIALS AND DYNAMIC BOUNDARY CONDITIONS, In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS28(1)pp. 275-310 AMER INST MATHEMATICAL SCIENCES
Eden A, Kalantarov VK, Zelik Sergey (2010)Infinite energy solutions for the Cahn-Hilliard equation in cylindrical domains, In: arXiv
Gatti S, Miranville A, Pata V, Zelik S (2010)Continuous families of exponential attractors for singularly perturbed equations with memory, In: P ROY SOC EDINB A140pp. 329-366 ROYAL SOC EDINBURGH
Kostianko Anna, Titi Edriss, Zelik Sergey (2018)Large dispersion, averaging and attractors: three 1D paradigms, In: Nonlinearity31(12)R317 IOP Publishing
Shirikyan A, Zelik S (2012)Exponential attractors for random dynamical systems and applications, In: Stochastic Partial Differential Equations: Analysis and Computations1(2)pp. 241-281 Springer
Mielke A, Zelik S (2014)On the vanishing-viscosity limit in parabolic systems with rate-independent dissipation terms, In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE13(1)pp. 67-135 SCUOLA NORMALE SUPERIORE
Vladimirov AG, Turaev D, Zelik S (2011)Synchronization of interacting temporal cavity oscillons, In: Proceedings of Conference on Lasers and Electro-Optics Europe and 12th European Quantum Electronics Conference
Chepyzhov V, Zelik S (2015)Infinite Energy Solutions for Dissipative Euler Equations in R-2, In: Journal of Mathematical Fluid Mechanics17(3)pp. 513-532 SPRINGER BASEL AG
Kostianko A, Zelik S (2016)Inertial Manifolds for 1D Convective Reaction-Diffusion Systems, In: arXiv
Efendiev M, Zelik S (2003)The regular attractor for the reaction-diffusion system with a nonlinearity rapidly oscillating in time and its averaging, In: Advances in Differential Equations8(6)pp. 673-732
Vishik MI, Zelik SV, Chepyzhov VV (2010)Strong Trajectory Attractor for a Dissipative Reaction-Diffusion System, In: DOKLADY MATHEMATICS82(3)pp. 869-873 MAIK NAUKA/INTERPERIODICA/SPRINGER
Efendiev M, Zelik S (2002)Attractors of the reaction-diffusion systems with rapidly oscillating coefficients and their homogenization, In: ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE19(6)pp. 961-989 GAUTHIER-VILLARS/EDITIONS ELSEVIER
Bilgen B, Kalantarov V, Zelik S (2015)Preventing blow up by convective terms in dissipative PDEs., In: arXiv
Ilyin A, Patni K, Zelik S (2016)Upper bounds for the attractor dimension of damped Navier-Stokes equations in R 2, In: Discrete and Continuous Dynamical Systems - Series A36(4)pp. 2085-2102 American Insitute of Mathematical Sciences
Grasselli M, Schimperna G, Zelik S (2009)On the 2D Cahn-Hilliard Equation with Inertial Term, In: Communications in Partial Differential Equations34(2)PII 909499pp. 137-170 Taylor & Francis
Ilyin A, Laptev A, Zelik S (2015)Sharp interpolation inequalities for discrete operators and applications, In: BULLETIN OF MATHEMATICAL SCIENCES5(1)pp. 19-57 Springer
Chepyzhov VV, Ilyin AA, Zelik SV (2015)Strong trajectory and global W 1,p -attractors for the damped-driven Euler system in R 2., In: arXiv
Zelik S (2014)Inertial manifolds and finite-dimensional reduction for dissipative PDEs, In: Proceedings of the Royal Society of Edinburgh Section A: Mathematics144(6)pp. 1245-1327 CAMBRIDGE UNIV PRESS
Efendiev MA, Gajewski H, Zelik S (2002)The finite dimensional attractor for a 4th order system of cahn-hilliard type with a supercritical nonlinearity, In: Advances in Differential Equations7(9)pp. 1073-1100
Kalantarov V, Zelik S (2015)A note on a strongly damped wave equation with fast growing nonlinearities, In: JOURNAL OF MATHEMATICAL PHYSICS56(1)ARTN 0pp. ?-? AMER INST PHYSICS
Grasselli M, Schimperna G, Zelik S (2010)Trajectory and smooth attractors for Cahn-Hilliard equations with inertial term, In: NONLINEARITY23(3)pp. 707-737 IOP PUBLISHING LTD
Kostianko A, Titi E, Zelik S (2016)Large dispersion, averaging and attractors: three 1D paradigms, In: arXiv
Vishik MI, Zelik SV (2011)Attractors for the nonlinear elliptic boundary value problems and their parabolic singular limit, In: arXiv
Miranville A, Zelik S (2002)Robust exponential attractors for singularly perturbed phase-field type equations, In: Electronic Journal of Differential Equations2002
Zelik S (2012)Infinite Energy Solutions for Damped Navier-Stokes Equations in R2, In: Journal of Mathematical Fluid Mechanics
Zelik SV (1997)The Mathieu-Hill operator equation with dissipation and estimates of its instability index, In: MATHEMATICAL NOTES61(3-4)pp. 451-464 PLENUM PUBL CORP
Zelik SV (2000)The attractor of a quasilinear hyperbolic equation with dissipation in R-n: Dimension and epsilon-entropy, In: MATHEMATICAL NOTES67(1-2)pp. 248-251 PLENUM PUBL CORP
Efendiev MA, Zelik SV (2002)Upper and lower bounds for the Kolmogorov entropy of the attractor for the RDE in an unbounded domain, In: Journal of Dynamics and Differential Equations14(2)pp. 369-403
Eden A, Kalantarov VK, Zelik SV (2012)Global solvability and blow up for the convective Cahn-Hilliard equations with concave potentials, In: Journal of Mathematical Physics54
Mielke A, Zelik SV (2002)Infinite-dimensional trajectory attractors of elliptic boundary-value problems in cylindrical domains, In: RUSSIAN MATHEMATICAL SURVEYS57(4)pp. 753-784 LONDON MATHEMATICAL SOCIETY RUSSIAN ACAD SCIENCES
Kalantarov VK, Zelik S (2011)Smooth Attractors for the Brinkman-Forchheimer equations with fast growing nonlinearities, In: arXiv
Turaev D, Vladimirov AG, Zelik S (2009)Strong enhancement of interaction of optical pulses induced by oscillatory instability, In: Proceedings of European Conference on Lasers and Electro-Optics and the European Quantum Electronics Conference IEEE
Eden A, Kalanarov V, Zelik S (2011)Counterexamples to the regularity of Mane projections and global attractors, In: arXiv
Efendiev M, Miranville A, Zelik S (2000)Exponential attractors for a nonlinear reaction-diffusion system in R-3, In: COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE330(8)pp. 713-718 EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
Turaev D, Vladimirov AG, Zelik S (2012)Long-Range Interaction and Synchronization of Oscillating Dissipative Solitons, In: PHYSICAL REVIEW LETTERS108(26)ARTN 2pp. ?-? AMER PHYSICAL SOC
Pata V, Zelik S (2006)Smooth attractors for strongly damped wave equations, In: NONLINEARITY19(7)pp. 1495-1506 IOP PUBLISHING LTD
Bridges Thomas, Pennant J, Zelik Sergey (2014)Degenerate Hyperbolic Conservation Laws with Dissipation: Reduction to and Validity of a Class of Burgers-Type Equations, In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS214(2)pp. 671-716 SPRINGER
Efendiev M, Zelik S (2011)Global attractor and stabilization for a coupled PDE-ODE system, In: arXiv
Zelik SV (2001)The attractor for a nonlinear hyperbolic equation in the unbounded domain, In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS7(3)pp. 593-641 SOUTHWEST MISSOURI STATE UNIV
Zelik SV (1997)Boundedness of the solutions of a nonlinear elliptic system in a cylindrical domain, In: MATHEMATICAL NOTES61(3-4)pp. 365-369 PLENUM PUBL CORP
Mielke A, Zelik SV (2007)Infinite-dimensional hyperbolic sets and spatio-temporal chaos in reaction diffusion systems in R-n, In: JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS19(2)pp. 333-389 SPRINGER
Zelik S, Pata V (2006)Global and exponential attractors for 3-D wave equations with displacement dependent damping, In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES29(11)pp. 1291-1306 JOHN WILEY & SONS LTD
ZELIK SV (1994)ALMOST-PERIODIC SOLUTIONS OF A CLASS OF LINEAR HYPERBOLIC-EQUATIONS, In: MATHEMATICAL NOTES56(1-2)pp. 865-868 PLENUM PUBL CORP
Zelik S, Pennant J (2013)GLOBAL WELL-POSEDNESS IN UNIFORMLY LOCAL SPACES FOR THE CAHN-HILLIARD EQUATION IN R-3, In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS12(1)pp. 461-480 AMER INST MATHEMATICAL SCIENCES
Miranville A, Zelik S (2008)Chapter 3 Attractors for Dissipative Partial Differential Equations in Bounded and Unbounded Domains, In: Handbook of Differential Equations: Evolutionary Equations4pp. 103-200
Savostianov A, Zelik S (2014)Global well-posedness and attractors for the hyperbolic Cahn-Hilliard-Oono equation in the whole space
Ovsyannikov II, Turaev D, Zelik S (2014)Bifurcation to Chaos in the complex Ginzburg-Landau equation with large third-order dispersion
Ilyin A, Laptev A, Zelik S (2015)Sharp interpolation inequalities for discrete operators and applications, In: BULLETIN OF MATHEMATICAL SCIENCES5(1)pp. 19-57 SPRINGER BASEL AG
Zelik SV (2001)The attractor for a nonlinear reaction-diffusion system in the unbounded domain and Kolmogorov's epsilon-entropy, In: MATHEMATISCHE NACHRICHTEN232pp. 129-179 WILEY-V C H VERLAG GMBH
Schimperna G, Segatti A, Zelik S (2012)Asymptotic uniform boundedness of energy solutions to the Penrose-Fife model, In: Journal of Evolution Equations12(4)pp. 863-890
Efendiev MA, Zelik SV (2001)The attractor for a nonlinear reaction-diffusion system in an unbounded domain, In: Communications on Pure and Applied Mathematics54(6)
Cherfils L, Miranville A, Zelik S (2014)ON A GENERALIZED CAHN-HILLIARD EQUATION WITH BIOLOGICAL APPLICATIONS, In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B19(7)pp. 2013-2026 AMER INST MATHEMATICAL SCIENCES
Zelik S, Mielke A (2009)Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems, In: MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY198(925)pp. VI-95 AMER MATHEMATICAL SOC
Efendiev M, Zelik S, Miranville A (2005)Exponential attractors and finite-dimensional reduction for non-autonomous dynamical systems, In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS135pp. 703-730 ROYAL SOC EDINBURGH
Rossides T, Lloyd David, Zelik S (2015)Computing Interacting Multi-fronts in One Dimensional Real Ginzburg Landau Equations, In: JOURNAL OF SCIENTIFIC COMPUTING63(3)pp. 799-819 SPRINGER/PLENUM PUBLISHERS
Zelik S (2004)Asymptotic regularity of solutions of singularly perturbed damped wave equations with supercritical nonlinearities, In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS11(2-3)pp. 351-392 AMER INST MATHEMATICAL SCIENCES
Turaev D, Zelik S, Vladimirov AG (2005)Chaotic bound state of localized structures in the complex ginzburg-landau equation, In: Optics InfoBase Conference Papers
Miranville A, Zelik S (2005)Exponential attractors for the Cahn-Hilliard equation with dynamic boundary conditions, In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES28(6)pp. 709-735 JOHN WILEY & SONS LTD
Miranville A, Pata V, Zelik S (2007)Exponential attractors for singularly perturbed damped wave equations: A simple construction, In: ASYMPTOTIC ANALYSIS53(1-2)pp. 1-12 IOS PRESS
Zelik S (2004)Asymptotic regularity of solutions of a nonautonomous damped wave equation with a critical growth exponent, In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS3(4)pp. 921-934 AMER INST MATHEMATICAL SCIENCES
Zelik S (2006)Global averaging and parametric resonances in damped semilinear wave equations, In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS136pp. 1053-1097 ROYAL SOC EDINBURGH
Zelik SV, Ilyin AA, Laptev AA (2015)Sharp interpolation inequalities for discrete operators, In: DOKLADY MATHEMATICS91(2)pp. 215-219 MAIK NAUKA/INTERPERIODICA/SPRINGER
Zelik S (2007)Spatially nondecaying solutions of the 2D Navier-Stokes equation in a strip, In: GLASGOW MATHEMATICAL JOURNAL49pp. 525-588 CAMBRIDGE UNIV PRESS
Miranville A, Zelik S (2007)Finite-dimensionality of attractors for degenerate equations of elliptic-parabolic type, In: NONLINEARITY20(8)pp. 1773-1797 IOP PUBLISHING LTD
Zelik SV (2007)Spatial and dynamical chaos generated by reaction-diffusion systems in unbounded domains, In: JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS19(1)pp. 1-74 SPRINGER
Busca J, Efendiev M, Zelik S (2004)Classification of positive solutions of semilinear elliptic equations, In: COMPTES RENDUS MATHEMATIQUE338(1)pp. 7-11 EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
Efendiev MA, Zelik SV, Eberl HJ (2009)Existence and longtime behavior of a biofilm model, In: Communications on Pure and Applied Analysis8(2)pp. 509-531 American Institute of Mathematical Sciences
Grasselli M, Schimperna G, Segatti A, Zelik S (2009)On the 3D Cahn-Hilliard equation with inertial term, In: JOURNAL OF EVOLUTION EQUATIONS9(2)pp. 371-404 BIRKHAUSER VERLAG AG
Pata V, Zelik S (2007)A result on the existence of global attractors for semigroups of closed operators, In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS6(2)pp. 481-486 AMER INST MATHEMATICAL SCIENCES
Savostianov Anton (2015)Strichartz estimates and smooth attractors of dissipative hyperbolic equations.