Extreme ellipsoids as approximations of design space in data predictive metamodeling problems. 2015. N. 2. P. 95-104. Go to publicationDownload (377.6 KB)

Infinite energy solutions for Dissipative Euler equations in $\R^2$. Journal of Mathematical Fluid Mechanics. 2015. V. 17. P.513-532. Go to publicationDownload (674.8 KB)

Trajectory attractors for non-autonomous dissipative 2d Euler equations. Discrete and Continuous Dynamical Systems B. 2015. V. 20. N.3. P.811-832. Go to publicationDownload (563.6 KB)

Strong trajectory and global $\mathbf{W^{1,p}}$-attractors for the damped-driven Euler system in
$\mathbb R^2$. ArXiv.org e-Print archive, 1511.0387sv1, 2015, pp. 1-26. Go to publicationDownload (310.9 KB)

Totally dissipative dynamical processes and their uniform global attractors.
Communications on Pure and Applied Analisis. 2014.
V.13, N 5, pp.1989-2004. Go to publicationDownload (412.6 KB)

Trajectory attractors for equations of mathematical physics // Abstracts of the International Conference “Differential Equations and Applications” in Honour of Mark Vishik, Moscow, June 4-7, 2012. P.9. Go to publication

A minimal approach to the theory of global attractors // Discrete and Continuous Dynamical Systems. 2012. V. 32. N.6. P.2079-2088. Go to publicationDownload (375.7 KB)

Attractors for Autonomous and Non-autonomous Navier-Stokes Systems. Abstracts of 7th International Congress on Industrial and Applied Mathematics, July 18-22, 2011, Vancouver, Canada. P.88.

Strong trajectory attractors for 2D Euler equations with dissipation. Abstracts of the International Mathematical Conference “50 Years of IPPI”, July 25-27, 2011, Moscow. P.1-3. Download (57.4 KB)

On trajectory attractors for non-autonomous 2D Navier-Stokes system in the Nicolskij space. Modern problems in analysis and in mathematical education. Proceedings. International conference dedicated to the 105-th anniversary of academician S.M.Nicolskij, 17-19 May 2010, MSU, Moscow. P.57-58. Download (57.8 KB)

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)

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)