A. A. Ilyin, Attractors for Navier–Stokes equations in domains with finite measure, Nonlinear Analysis, 27:5 (1996), 605–616.
A. A. Ilyin, Averaging principle for dissipative dynamical systems with rapidly oscillating right-hand sides, Mat. Sbornik, 187:5 (1996), 15–58.
A. A. Ilyin, Best constants in a class of polymultiplicative inequalities for derivatives, Mat. Sbornik, 189:9 (1998), 15–58.
V. V. Chepyzhov, A. A. Ilyin, On the fractal dimension of invariant sets applications to the Navier–Stokes equations, Discrete and Continuous Dynamical Systems, 10 (2004), 117–135.
A. A. Ilyin, Lieb–Thirring integral inequalities and their applications to the attractors of the Navier–Stokes equations, Mat. Sbornik, 196:1 (2005), 3–66.