Concepedia

Alexei Ilyin

AI

23

Publications

809

Citations

15

H-Index

1993

Active since

Affiliations

Keldysh Institute of Applied Mathematics(Current)

University of California, Irvine

University of Surrey

University of Sussex

Institute for Information Transmission Problems

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

Top concepts

EngineeringFunctional AnalysisNavier-stokes EquationsFluid DynamicsSpectral TheoryApproximation TheoryPhysicsVariational InequalitiesStabilityTurbulence

Publications per year

1993–2022

23

Publications

23

A modified-Leray-α subgrid scale model of turbulence

Alexei Ilyin, Evelyn Lunasin, Edriss S. Titi · Nonlinearity · 2006 · 128 citations

Engineering, Aerospace Engineering, Turbulent Flow Heat Transfer +13

On the regularization mechanism for the periodic Korteweg–de Vries equation

Anatoli Babin, Alexei Ilyin, Edriss S. Titi · Communications on Pure and Applied Mathematics · 2011 · 126 citations

Nonlinear Functional Analysis, Elliptic Equation, Global Existence +7

On the fractal dimension of invariant sets: Applications to Navier-Stokes equations

Alexei Ilyin, Vladimir V. Chepyzhov · Discrete and Continuous Dynamical Systems · 2003 · 63 citations · Full text

Integral Geometry, Spectral Theory, Invariant Sets +12

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 citations · Full text

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 · 2006 · 47 citations · Full text

Numerical Analysis, Engineering, Incompressible Flow +7

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