Chepyzhov V. V. Trajectory attractors method for dissipative partial differential equations with small parameter. Izvestiya VUZ. Applied Nonlinear Dynamics, 2024, vol. 32, iss. 6, pp. 858-877. Go to publication
K.A. Bekmaganbetov, G.A. Chechkin, V.V. Chepyzhov, A.A. Tolemis. Homogenization of Attractors to Ginzburg-Landau Equations in Media with Locally Periodic Obstacles: Sub- and Supercritical Cases, Bulletin of the Karaganda University, Mathematics series. V.114, No.2. 2024. P. 40-56. Go to publication
2024 year
Authors: Bekmaganbetov K.A., Chechkin G.A., Chepyzhov V.
K.A. Bekmaganbetov, G.A. Chechkin, V.V. Chepyzhov. Homogenization of attractors to reaction-diffusion system in a medium with random obstacles. Discrete and Continuous Dynamical Systems. V.44. 2024. N. 11. P. 3474–3490. Go to publication
2023 year
Authors: Bekmaganbetov K.A., Chechkin G.A., Chepyzhov V.
Application of Fatou’s Lemma for Strong Homogenization of Attractors to Reaction–Diffusion Systems with Rapidly Oscillating Coefficients in Orthotropic Media with Periodic Obstacles. Mathematics 2023, 11, 1448. Go to publication
2022 year
Authors: Bekmaganbetov K.A., Chepyzhov V., Chechkin G.A.
Strong convergence of attractors of reaction-diffusion system with rapidly oscillating terms in an orthotropic porous medium. Izvestiya: Mathematics, 2022, Volume 86, Issue 6, Pages 1072–1101. Go to publication
HOMOGENIZATION OF ATTRACTORS OF REACTION–DIFFUSION SYSTEM WITH RAPIDLY OSCILLATING TERMS IN AN ORTHOTROPIC POROUS MEDIUM. Journal of Mathematical Sciences, Vol. 259, No. 2, November, 2021.
2020 year
Authors: Bekmaganbetov K.A., Chechkin G.A., Chepyzhov V.
Strong convergence of trajectory attractors for reaction-diffusion systems with random rapidly oscillating terms. Communications on Pure and Applied Analysis. V.19. N.5. 2020. pp.2419-2443. Go to publication
2020 year
Authors: Bekmaganbetov K.A., Chechkin G.A., Chepyzhov V.
“Strange term” in homogenization of attractors of reaction–diffusion equation in perforated domain. Chaos, Solitons and Fractals.V.140. 2020. 110208. Go to publication
2019 year
Authors: Bekmaganbetov K.A., Chechkin G.A., Chepyzhov V.
Weak convergence of attractors of reaction–diffusion systems with randomly oscillating coefficients. Applicable Analysis. V.98. 2019. Nos. 1-2. P. 256-271. Go to publication
Inertial manifolds for the hyperbolic relaxation of semilinear parabolic equations, Discrete and Continuous Dynamical Systems Series B, V. 24, no.3, 2019. P.1115-1142. Download (517.1 KB)
Homogenization of trajectory attractors of Ginzburg-Landau equations with randomly oscillating terms. Discrete and Continuous Dynamical Systems Series B. V.23. 2018. N. 3. P. 1133-1154. Download (666.4 KB)
Vanishing viscosity limit for global attractors for the damped Navier-Stokes system with stress free boundary conditions. Physica D. V. 376-377. 2018. P. 31-38. Go to publication
2017 year
Authors: Bekmaganbetov K.A., Chechkin G.A., Chepyzhov V.
Weak convergence of attractors of reaction–diffusion systems with randomly oscillating coefficients. Applicable Analysis. 2017. Go to publication
Averaging of equations of viscoelasticity with singularly oscillating external forces. Journal de Mathématiques Pures et Appliquées. V.108. 2017. N.6. P.841-868. Go to publication
On strong convergence of attractors of Navier–Stokes equations in the limit of vanishing viscosity. Mathematical Notes, March 2017, Volume 101, Issue 3–4, pp 746–750. Go to publication
Strong trajectory and global W1,p -attractors for the damped-driven Euler system in R2. Discrete and Continuous Dynamical Systems B. 2017. V. 22. N.5. P.1835-1855. Download (505.8 KB)
Homogenization of Trajectory Attractors of 3D Navier--Stokes system with Randomly Oscillating Force. Discrete and Continuous Dynamical Systems A. V.37. 2017. N. 5. P. 2375-2393. Download (507.2 KB)
2016 year
Authors: Bekmaganbetov K.A., Chechkin G.A., Chepyzhov V.
Homogenization of Random Attractors for Reaction-Diffusion Systems. Comptes Rendus Mecaniques. V.344. 2016. N. 11-12. P.753–758. Download (662.2 KB)
Approximating the trajectory attractor of the 3D Navier-Stokes system using various $ \alpha$-models of fluid dynamics. Sbornik: Mathematics(2016),207(4):610. Go to publication
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)
