Alexei Ilyin - Concepedia

Author

Alexei Ilyin

Keldysh Institute of Applied Mathematics ORCID

Also Known As

A A Ilyin, A. A. ILYIN, A. A. Ilyin, A. Ilyin, A.A. Ilyin, A.B. Ilyin, Aleksei A Ilyin, Aleksei Andreevich Ilyin, Alexei A Ilyin, Alexei A. Ilyin

110

Publications

971

Citations

H-Index

Concepts

All Affiliations

Keldysh Institute of Applied Mathematics University of California, Irvine University of Surrey University of Sussex Institute for Information Transmission Problems

About

Alexei Ilyin is an author at Keldysh Institute of Applied Mathematics specializing in engineering, functional analysis, and navier-stokes equations.

Top Concepts

#	Concept	H-Index	Publications	Citations
1	Engineering	11	12	461
2	Fluid Mechanics	5	5	266
3	Physics	2	2	53
4	Space Engineering	1	1	128
5	Hydrodynamics	1	1	128

Alexei Ilyin

Publications

809

Citations

H-Index

Page 1

	Year	Citations
A modified-Leray-α subgrid scale model of turbulence Alexei Ilyin, Evelyn Lunasin, Edriss S. Titi Nonlinearity EngineeringAerospace EngineeringTurbulent Flow Heat TransferFluid MechanicsSubgrid Models	2006	128
On the regularization mechanism for the periodic Korteweg–de Vries equation Anatoli Babin, Alexei Ilyin, Edriss S. Titi Communications on Pure and Applied Mathematics Nonlinear Functional AnalysisElliptic EquationGlobal ExistenceSuccessive Averaging MethodsRegularization Mechanism	2011	126
On the fractal dimension of invariant sets: Applications to Navier-Stokes equations Alexei Ilyin, Vladimir V. Chepyzhov Discrete and Continuous Dynamical Systems Integral GeometrySpectral TheoryInvariant SetsInfinite Dimensional AnalysisEngineering	2003	63
Small viscosity sharp estimates for the global attractor of the 2-D damped-driven Navier-Stokes equations Alexei Ilyin, Alain Miranville, Edriss S. Titi Communications in Mathematical Sciences	2004	54
Sharp Estimates for the Number of Degrees of Freedom for the Damped-Driven 2-D Navier-Stokes Equations Alexei Ilyin, Edriss S. Titi Journal of Nonlinear Science Numerical AnalysisEngineeringIncompressible FlowFree Boundary ProblemFluid Mechanics	2006	47
A note on the fractal dimension of attractors of dissipative dynamical systems Vladimir V. Chepyzhov, Alexei Ilyin Nonlinear Analysis Deterministic Dynamical SystemChaos TheoryFractal DimensionDissipative Dynamical SystemsHigh-dimensional Chaos	2001	45
Averaging principle for dissipative dynamical systems with rapidly oscillating right-hand sides Alexei Ilyin Sbornik Mathematics AttractorDeterministic Dynamical SystemEngineeringNon-autonomous EquationsTwo-dimensional Navier-stokes Equations	1996	42
Attractors for the Two-Dimensional Navier–Stokes-α Model: An α-Dependence Study Alexei Ilyin, Edriss S. Titi Journal of Dynamics and Differential Equations EngineeringPhysicsFluid MechanicsScalar TransportNavier-stokes Equations	2003	40
Attractors for Navier-Stokes equations in domains with finite measure Alexei Ilyin Nonlinear Analysis EngineeringFluid MechanicsGlobal AnalysisNavier-stokes EquationsAttractor	1996	32
Lieb-Thirring Inequalities on the <i>N</i>-Sphere and in the Plane, and Some Applications Alexei Ilyin Proceedings of the London Mathematical Society	1993	30

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