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- Sergey Zelik

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
33
Citations
4,847
161
World Ranking
2214
National Ranking
154

- Mathematical analysis
- Quantum mechanics
- Algebra

Sergey Zelik mainly investigates Attractor, Mathematical analysis, Exponential function, Nonlinear system and Bounded function. His Attractor study incorporates themes from Inertial frame of reference, Dynamical system, Statistical physics, Uniqueness and Cahn–Hilliard equation. He interconnects Logarithm and Boundary value problem in the investigation of issues within Cahn–Hilliard equation.

His Mathematical analysis study frequently draws connections to other fields, such as Dissipative system. His research integrates issues of Semigroup and Perturbation in his study of Exponential function. His research in Bounded function tackles topics such as Domain which are related to areas like Energy, Reaction–diffusion system, Type, Sobolev space and Hausdorff dimension.

- Chapter 3 Attractors for Dissipative Partial Differential Equations in Bounded and Unbounded Domains (250 citations)
- Exponential attractors for a nonlinear reaction-diffusion system in ? (162 citations)
- The Cahn-Hilliard Equation with Logarithmic Potentials (149 citations)

The scientist’s investigation covers issues in Mathematical analysis, Attractor, Nonlinear system, Bounded function and Dissipative system. In most of his Mathematical analysis studies, his work intersects topics such as Inertial frame of reference. His biological study deals with issues like Exponential function, which deal with fields such as Perturbation.

His biological study spans a wide range of topics, including Statistical physics, Type and Degenerate energy levels. His studies deal with areas such as Partial differential equation and Dirichlet boundary condition as well as Bounded function. His Dissipative system research focuses on Classical mechanics and how it connects with Bound state.

- Mathematical analysis (85.20%)
- Attractor (62.78%)
- Nonlinear system (21.52%)

- Mathematical analysis (85.20%)
- Attractor (62.78%)
- Inertial frame of reference (11.66%)

His scientific interests lie mostly in Mathematical analysis, Attractor, Inertial frame of reference, Mathematical physics and Torus. He combines subjects such as Energy and Quintic function with his study of Mathematical analysis. His Attractor research includes themes of Phase space, Dissipation, Euler system, Bounded function and Nonlinear system.

His Bounded function study integrates concerns from other disciplines, such as Dirichlet boundary condition, Exponential function and Domain. His work is dedicated to discovering how Nonlinear system, Compact space are connected with Uniqueness and other disciplines. His study on Inertial frame of reference also encompasses disciplines like

- Spectral gap that connect with fields like Partial differential equation and Ordinary differential equation,
- Periodic boundary conditions which is related to area like Advection, Neumann boundary condition, Reaction–diffusion system and Regularization.

- Large dispersion, averaging and attractors: three 1D paradigms (6 citations)
- Inertial manifolds for 1D reaction-diffusion-advection systems. Part I: Dirichlet and Neumann boundary conditions (6 citations)
- Inertial manifolds for the hyperbolic relaxation of semilinear parabolic equations (6 citations)

- Mathematical analysis
- Quantum mechanics
- Algebra

His primary scientific interests are in Mathematical analysis, Inertial frame of reference, Parabolic partial differential equation, Spectral gap and Attractor. His studies in Mathematical analysis integrate themes in fields like Energy and Spacetime. In his study, Reaction–diffusion system, Advection and Neumann boundary condition is inextricably linked to Periodic boundary conditions, which falls within the broad field of Inertial frame of reference.

The Parabolic partial differential equation study combines topics in areas such as Regularization and Applied mathematics. His Spectral gap research incorporates themes from Limit and Hilbert space. His Attractor research includes elements of Dispersion, Dirichlet boundary condition, Norm, Bounded function and Navier–Stokes equations.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Chapter 3 Attractors for Dissipative Partial Differential Equations in Bounded and Unbounded Domains

A. Miranville;S. Zelik.

Handbook of Differential Equations: Evolutionary Equations **(2008)**

360 Citations

Chapter 3 Attractors for Dissipative Partial Differential Equations in Bounded and Unbounded Domains

A. Miranville;S. Zelik.

Handbook of Differential Equations: Evolutionary Equations **(2008)**

360 Citations

Uniform exponential attractors for a singularly perturbed damped wave equation

Pierre Fabrie;Cedric Galusinski;Alain Miranville;Sergey Zelik.

Discrete and Continuous Dynamical Systems - Series S **(2004)**

341 Citations

Uniform exponential attractors for a singularly perturbed damped wave equation

Pierre Fabrie;Cedric Galusinski;Alain Miranville;Sergey Zelik.

Discrete and Continuous Dynamical Systems - Series S **(2004)**

341 Citations

Exponential attractors for a nonlinear reaction-diffusion system in ?

Messoud Efendiev;Alain Miranville;Sergey Zelik.

Comptes Rendus De L Academie Des Sciences Serie I-mathematique **(2000)**

281 Citations

Exponential attractors for a nonlinear reaction-diffusion system in ?

Messoud Efendiev;Alain Miranville;Sergey Zelik.

Comptes Rendus De L Academie Des Sciences Serie I-mathematique **(2000)**

281 Citations

The Cahn-Hilliard Equation with Logarithmic Potentials

Laurence Cherfils;Alain Miranville;Sergey Zelik.

Milan Journal of Mathematics **(2011)**

187 Citations

The Cahn-Hilliard Equation with Logarithmic Potentials

Laurence Cherfils;Alain Miranville;Sergey Zelik.

Milan Journal of Mathematics **(2011)**

187 Citations

Robust exponential attractors for Cahn-Hilliard type equations with singular potentials

Alain Miranville;Sergey Zelik.

Mathematical Methods in The Applied Sciences **(2004)**

179 Citations

Robust exponential attractors for Cahn-Hilliard type equations with singular potentials

Alain Miranville;Sergey Zelik.

Mathematical Methods in The Applied Sciences **(2004)**

179 Citations

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