Сергей Витальевич Зелик

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All published works

Action	Title	Year	Authors
+	Multi-vortices and lower bounds for the attractor dimension of 2d Navier-Stokes equations	2024	Anna Kostianko Alexei Ilyin David P. Stone Сергей Витальевич Зелик
+ PDF Chat	Sharp bounds on the attractor dimensions for damped wave equations	2024	Alexei Ilyin Anna Kostianko Сергей Витальевич Зелик
+	Multi-vortices and Lower Bounds for the Attractor Dimension of 2D Navier–Stokes Equations	2024	Anna Kostianko Alexei Ilyin David P. Stone Сергей Витальевич Зелик
+	Estimates for the Dimension of Attractors of a Regularized Euler System with Dissipation on the Sphere	2022	Сергей Витальевич Зелик Alexei Ilyin Anna G Kostyanko
+	Sharp Dimension Estimates for the Attractors of the Regularized Damped Euler System	2021	Сергей Витальевич Зелик Alexei Ilyin Anna Kostianko
+ PDF Chat	Асимптотика функций Грина и точные интерполяционные неравенства	2014	Сергей Витальевич Зелик Sergey Zelik Алексей Андреевич Ильин Alexei Ilyin
+ PDF Chat	Контрпримеры к регулярности проекций Мане в теории аттракторов	2013	A. Eden A. Eden Сергей Витальевич Зелик Sergey Zelik Varga Κ. Kalantarov Varga Κ. Kalantarov
+	Infinite energy solutions for the Cahn-Hilliard equation in cylindrical domains	2010	A. Eden Varga Κ. Kalantarov Сергей Витальевич Зелик
+	Asymptotic behavior of dissipative PDEs	2009	Maurizio Grasselli Alain Miranville Сергей Витальевич Зелик

Common Coauthors

Coauthor	Papers Together
Alexei Ilyin	6
Anna Kostianko	4
Sergey Zelik	2
David P. Stone	2
A. Eden	2
Varga Κ. Kalantarov	2
Maurizio Grasselli	1
Alain Miranville	1
Anna G Kostyanko	1
Алексей Андреевич Ильин	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Small viscosity sharp estimates for the global attractor of the 2-D damped-driven Navier-Stokes equations	2004	Alexei Ilyin Alain Miranville Edriss S. Titi	4
+	Attractors of Evolution Equations	1992	Anatoli Babin M. I. Vishik	3
+	A sharp lower bound for the Hausdorff dimension of the global attractors of the 2D Navier-Stokes equations	1993	Vincent Xiaosong Liu	2
+	An Lp bound for the Riesz and Bessel potentials of orthonormal functions	1983	Élliott H. Lieb	2
+ PDF Chat	Sharp dimension estimates of the attractor of the damped 2D Euler–Bardina equations	2021	Alexei Ilyin Sergey Zelik	2
+ PDF Chat	Non-uniqueness of Leray solutions of the forced Navier-Stokes equations	2022	Dallas Albritton Elia Bruè Maria Colombo	2
+ PDF Chat	Global attractors and determining modes for the 3D Navier-Stokes-Voight equations	2009	Varga Κ. Kalantarov Edriss S. Titi	2
+	Upper bounds for the attractor dimension of damped Navier-Stokes equations in $\mathbb R^2$	2015	Alexei Ilyin Kavita Patni Sergey Zelik	2
+ PDF Chat	Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models	2006	Yanping Cao Evelyn Lunasin Edriss S. Titi	2
+	Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and Their Relation to Sobolev Inequalities	2006	Élliott H. Lieb Walter Thirring	2
+ PDF Chat	Lieb–Thirring inequalities on some manifolds	2012	Alexei Ilyin	2
+	Best Constants in Sobolev Inequalities on the Sphere and in Euclidean Space	1999	Alexei Ilyin	2
+	Existence and finite dimensionality of the global attractor for evolution equations on unbounded domains	1990	Frédéric Abergel	1
+	Green's function asymptotics and sharp interpolation inequalities	2014	Sergey Zelik Alexei Ilyin	1
+ PDF Chat	On the 2D Cahn–Hilliard Equation with Inertial Term	2009	Maurizio Grasselli Giulio Schimperna Sergey Zelik	1
+ PDF Chat	Log-log convexity and backward uniqueness	2007	Igor Kukavica	1
+ PDF Chat	A sharp condition for existence of an inertial manifold	1991	Milan Miklavčič	1
+	A Simple proof of the generalized Lieb-Thirring inequalities in one-space dimension	1991	A. Eden Ciprian Foiaş	1
+	Kolmogorov-type inequalities and the best formulas for numerical differentiation	1968	Л. В. Тайков	1
+	Dichotomy property of solutions of quasilinear equations in problems on inertial manifolds	2005	A. Yu. Goritskii В. В. Чепыжов	1
+	On the best approximation of the differentiation operator on the half-line	1969	V. N. Gabushin	1
+ PDF Chat	Inertial manifolds for reaction diffusion equations in higher space dimensions	1988	John Mallet‐Paret George R. Sell	1
+	SHARP ESTIMATES OF THE DIMENSION OF INERTIAL MANIFOLDS FOR NONLINEAR PARABOLIC EQUATIONS	1994	A. V. Romanov	1
+	Hölder Continuity for the Inverse of Mañé′s Projection	1993	Asher Ben-Artzi A. Eden Ciprian Foiaş B. Nicolaenko	1
+	Infinite-dimensional trajectory attractors of elliptic boundary-value problems in cylindrical domains	2002	Alexander Mielke Sergey Zelik	1
+ PDF Chat	Bouligand dimension and almost Lipschitz embeddings	2002	Eric J. Olson	1
+	A Note on Two Inequalities	1936	G. H. Hardy	1
+	Lower Bounds and Uniqueness Theorems for Solutions of Differential Equations in a Hilbert Space	1967	Shmuel Agmon Louis Nirenberg	1
+ PDF Chat	SPATIALLY NONDECAYING SOLUTIONS OF THE 2D NAVIER-STOKES EQUATION IN A STRIP	2007	Sergey Zelik	1
+ PDF Chat	Embedding of global attractors and their dynamics	2011	Eleonora Pinto de Moura James C. Robinson J. J. Sánchez-Gabites	1
+	Finite fractal dimension and Holder-Lipshitz parametrization	1996	Ciprian Foiaş Eric J. Olson	1
+	Three counterexamples in the theory of inertial manifolds	2000	A. V. Romanov	1
+	Finite-dimensional limiting dynamics for dissipative parabolic equations	2000	A. V. Romanov	1
+	Nonlinear Schrödinger evolution equations	1980	Haı̈m Brezis Thierry Gallouët	1
+	Attractors for non-compact semigroups via energy equations	1998	I. Moise Ricardo Rosa Xiaoming Wang	1
+ PDF Chat	Lieb–Thirring inequalities with improved constants	2008	Jean Dolbeault Ари Лаптев Michael Loss	1
+	Approximate Calculation of Integrals	1964	Seymour Haber V. I. Krylov	1
+	THE NAVIER-STOKES AND EULER EQUATIONS ON TWO-DIMENSIONAL CLOSED MANIFOLDS	1991	Алексей Андреевич Ильин	1
+ PDF Chat	Lieb–Thirring inequalities on the half-line with critical exponent	2008	Tomas Ekholm Rupert L. Frank	1
+	Approximation of unbounded operators by bounded operators and related extremal problems	1996	В. В. Арестов	1
+	Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous liquid	1961	L. D. Meshalkin Я.Г. Синай	1
+	Floquet Theory for Partial Differential Equations	1993	Peter Kuchment	1
+ PDF Chat	Inertial manifolds for nonlinear evolutionary equations	1988	Ciprian Foiaş George R. Sell Roger Témam	1
+ PDF Chat	On the 3D Cahn–Hilliard equation with inertial term	2009	Maurizio Grasselli Giulio Schimperna Antonio Segatti Sergey Zelik	1
+	Robust exponential attractors for Cahn‐Hilliard type equations with singular potentials	2004	Alain Miranville Sergey Zelik	1
+	Kolmogorov-type inequalities for derivatives	1997	Georgii Georgievich Magaril-Il'yaev V. М. Tikhomirov	1
+ PDF Chat	Almost bi-Lipschitz embeddings and almost homogeneous sets	2009	Eric J. Olson James C. Robinson	1
+ PDF Chat	Asymptotic behavior of a nonisothermal viscous Cahn–Hilliard equation with inertial term	2007	Maurizio Grasselli Hana Petzeltová Giulio Schimperna	1
+ PDF Chat	Integral representations and $L^\infty$ bounds for solutions of the Helmholtz equation on arbitrary open sets in $\mathbb{R}^2$ and $\mathbb{R}^3$	1995	Wenzheng Xie	1
+ PDF Chat	Конечномерность динамики на аттракторе для нелинейных параболических уравнений	2001	A. V. Romanov A. V. Romanov	1