Trajectory attractor for a system of two reaction-diffusion equations with diffusion coefficient δ(t) → 0+ as t → + ∞. Doklady Mathematics, Vol. 81, 2010, No. 2. P.196–200.
Go to publicationDownload (258.1 KB)
Trajectory attractor for reaction-diffusion system with diffusion coefficient vanishing in time. Discrete and Continuous Dynamical Systems A. V.27. 2010. N.4. P.1493-1509. Go to publicationDownload (268.3 KB)
Averaging of 2D Navier-Stokes equations with singularly oscillating forces.
Nonlinearity. V.22. 2009. No. 2. P.351-370. Go to publicationDownload (232.7 KB)
Trajectory attractor for reaction-diffusion system with a series of zero diffusion coefficients. Russian Journal of Mathematical Physics. V.16. 2009. N.2 P.208-227. Go to publicationDownload (308.9 KB)
Trajectory attractors of reaction-diffusion systems with small diffusion. Sbornik: Mathematics. V.200. 2009. N.4. P.471–497. Go to publicationDownload (667.8 KB)
Trajectory attractor for reaction-diffusion system containing a small diffusion coefficient. Doklady Mathematics, Vol. 79, 2009, No. 2. P.443–446. Go to publicationDownload (258.5 KB)
Averaging of nonautonomous damped wave equations with singularly oscillating external forces. Journal de Mathematiques Pures et Appliquees. V.90. 2008. P.469-491. Go to publicationDownload (260 KB)
Time Averaging of Global Attractors for Nonautonomous Wave Equations with Singularly Oscillating External Forces. Doklady Mathematics, 2008, Vol. 78, No. 2, pp. 689–692. Go to publicationDownload (269.9 KB)
Attractors for nonautonomous Navier–Stokes system and other partial differential equations. In the book: Instability in Models Connected with Fluid Flows, I. (C.Bardos, A.Fursikov eds.), International Mathematical Series, V.6, Springer. 2008, P.135-265. Download (693.4 KB)
Trajectory attractors for dissipative 2d Euler and Navier-Stokes equations. Russian Journal of Mathematical Physics. V.15. 2008. N.2. P.156-170. Go to publicationDownload (217.7 KB)
On convergence of trajectory attractors of the 3D Navier–Stokes-α model as α approaches 0. Sbornik: Mathematics V.198. 2007. N.12. P.1703–1736. Go to publicationDownload (752.1 KB)
Non-autonomous 2D Navier-Stokes system with singularly oscillating external force and its global attractor. Journal of Dynamics and Differential Equations. V.19. 2007. N.3. P.655-684. Go to publicationDownload (284.6 KB)
Trajectory Attractor for the 2d Dissipative Euler Equations and Its Relation to the Navier–Stokes System with Vanishing Viscosity. Doklady Mathematics, Vol. 76, 2007, No. 3, pp. 856–860. Go to publicationDownload (129.6 KB)
The Global Attractor of the Nonautonomous 2D Navier–Stokes System with Singularly Oscillating External Force. Doklady Mathematics, Vol. 75, 2007, No. 2, pp. 236–239.