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)
Stability of abstract linear semigroups arising from heat conduction with memory. Asymptotic Analysis. V.50. 2006. P.269-291. Go to publicationDownload (196.2 KB)
2006 year
Authors: Chepyzhov V., Gatti S., Grasselli M., Miranville A., Pata V.
Trajectory and global attractors for evolution equations with memory. Applied Mathematics Letters. 19. 2006. P.87-96. Download (217.9 KB)
Some remarks on stability of semigroups arising from linear viscoelasticity. Asymptotic Analysis. V.46. 2006, P.251-273. Go to publicationDownload (190 KB)
On trajectory and global attractors for semilinear heat equations with fading memory. Indiana University Mathematics Journal. V.55. 2006. N.1. P.119-167. Download (511.6 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)
Integral manifolds for the sine-Gordon equation and their averaging.
Multi Scale Problems and Asymptotic Analysis.
GAKUTO International Series, Math. Sci. Appl. V.24. 2005. P.63-78.
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 and global attractors of dissipative hyperbolic equations with memory.
Communications on Pure and Applied Analysis. V.4. N.1. 2005. P.115-142. Download (299 KB)
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)
On the fractal dimension of invariant sets; applications to Navier-Stokes equations.
Discrete and Continuous Dynamical Systems V.10. 2004. N.1&2. P.117-135. Download (249 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)
ε-entropy pour des équations non autonomes de la physique mathématique.— Université de Poitiers, Département de Mathématiques, Preprint N.165, 2002. P.1—7. Download (100.2 KB)
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)
A simple algorithm for fast correlation attacks on stream ciphers.
Fast software encryption. 7th international workshop, FSE 2000, New York, NY, USA, April 10-12, 2000. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1978, 181-195 (2001).
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.
Hausdorff dimension estimation for attractors of nonautonomous dynamical systems in unbounded domains: an example.
Comm. Pure Appl. Math. V.53. 2000. N.5. P.647-665. Download (118 KB)
Kolmogorov epsilon-entropy of attractors of non-autonomous evolution equations.
In the book: International Conference on Differential Equations. V.1. Edited by B.Fiedler, K.Gröger, and J.Sprekels.
World Scientific. 2000, P.659-664.