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.
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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. Go to publicationDownload (111 KB)
On the convergence of solutions of the Leray-alpha model to the trajectory attractor of the 3D Navier-Stokes system. Discrete and Continuous Dynamical Systems. 17. 2007. N.3. P.481-500. Go to publicationDownload (281.9 KB)
Attractors of Dissipative Hyperbolic Equations with Singularly Oscillating External Forces. Mathematical Notes, vol. 79, 2006, no. 4, pp. 483–504. Go to publicationDownload (355.5 KB)
Global attractors for non-autonomous Ginzburg-Landau equation with singularly oscillating terms.
Rendiconti Accademia Nazionale delle Scienze detta dei XL, Memorie di Matematica e Applicacioni. V.XXIX. 2005. fasc.1. P.123-148.
Trajectory Attractor Approximation of the 3D Navier–Stokes System by a Leray-a Model. Doklady Mathematics, Vol. 71, 2005, No. 1, pp. 92–95. Download (97.4 KB)
Integral manifolds and attractors with exponential rate for nonautonomous hyperbolic equations with dissipation // Russian Journal of Mathematical Physics. V.12. N.1. 2005. P.17-79. Download (127.4 KB)
On non-autonomous sine-Gordon type equations with a simple global attractor and some averaging. Discrete and Continuous Dynamical Systems. V.12. .2005. N.1. P.27-38. Download (162.3 KB)
Approximation of trajectories lying on a global attractor of a hyperbolic equation with exterior force rapidly oscillating in time.
Sbornik: Mathematics 194. 2003. N.9. P.1273–1300. Download (426.2 KB)
Kolmogorov Epsilon-Entropy in the Problems on Global Attractors for Evolution Equations of Mathematical Physics.
Problems of Information Transmission, Vol. 39, No. 1, 2003, pp. 2-20. Download (241.7 KB)
Quantitative homogenization of global attractors for hyperbolic wave equations with rapidly oscillating coefficients.
Russian Mathematical Surveys (2002),57(4):709-728. Go to publication
Trajectory and Global Attractors of Three-Dimensional Navier–Stokes Systems.
Mathematical Notes, vol. 71, 2002, no. 2, pp. 177–193. Download (298.2 KB)
Non-autonomous 2D Navier-Stokes system with a simple global attractor and some averaging problems.
ESAIM Control Optim. Calc. Var. V.8. 2002. P.467-487. Download (230.6 KB)
Global attractor and its perturbations for a dissipative hyperbolic equation.
Russian Journal of Mathematical Physics. V.8. 2001. N3. P.311-330. Download (87.8 KB)
Quantitative homogenization of global attractors for reaction-diffusion systems with rapidly oscillating terms.
Preprint 32/00. Freie Universitat. Berlin. 2000. P.1-36.
Attractors for differential equations with rapidly oscillating coefficients.
Colloque. Actes des journées “Jeunes numériciens” en l’honneur du 60eme anniversaire du professeur Roger Temam. 9 et 10 Mars 2000. P.119-130.
Non-autonomous evolution equations and their attractors.
In the book: International Conference on Differential Equations, Berlin, 1999, V.1. Edited by B.Fiedler, K.Groger and J.Sprekels, World Scientific. 2000. P.690—702.
Averaging of trajectory attractors of evolution equations with rapidly oscillating terms.
Max-Plank-Institut fur Mathematik in den Naturwissenschaften. Preprint N 49. Lepzig. 2000. P.1-38.
Regular attractor for a non-linear elliptic system in a cylindrical domain.
Sbornik: Mathematics (1999),190(6):803-834.
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1999 year
Authors: Schulze B.-W., Witt I., Vishik M., Zelik S.V.
The trajectory attractor for a nonlinear elliptic system in a cylindrical domain with piecewise smooth boundary.— Rendiconti Academia Nazionale delle Scienze detta dei XL, Memorie di Matematica e Applicazioni. 115, Vol.XXIII, 1999, p. 3—37.
Nonautonomous Evolution Equations and Their Trajectory Attractors.
Differential Equations, Asymptotic Analysis and Mathematical Physics, edited by M.Demuth and B.-W.Schulze, Mathemat.Research. Vol.100, Akademie Verlag, Berlin, 1997, pp.392—400.
Integral Manifolds for Nonautonomous Equations.
Rendiconti Academia Nazionale delle Scienze detta dei XL, Memorie di Matematica e Applicazioni. 115, Vol.XXI, fasc.1, 1997, p. 109—146.
