Vladimir V. Chepyzhov

Publications¹⁹

• Article Bekmaganbetov K. A., Chechkin G. A., Chepyzhov V. V. Strong convergence of trajectory attractors for reaction–diffusion systems with random rapidly oscillating terms // Communications on Pure and Applied Analysis. 2020. Vol. 19. No. 5. P. 2419-2443. doi
• Article Bekmaganbetov K. A., Chechkin G. A., Chepyzhov V. V. “Strange term”in homogenization of attractors of reaction–diffusion equation in perforated domain // Chaos, Solitons and Fractals. 2020. Vol. 140. P. 110208. doi
• Article Chepyzhov V. V., Bekmaganbetov K. A., Chechkin G. A. Weak convergence of attractors of reaction–diffusion systems with randomly oscillating coefficients // Applicable Analysis. 2019. Vol. 98. No. 1-2. P. 256-271. doi
• Article Ilyin A., Zelik S., Chepyzhov V. V. Vanishing viscosity limit for global attractors for the damped Navier–Stokes system with stress free boundary conditions // Physica D: Nonlinear Phenomena. 2018. Vol. 376-377. P. 31-38. doi
• Article Chepyzhov V. V., Pata V., Conti M. Averaging of equations of viscoelasticity with singularly oscillating external forces // Journal de Mathématiques Pures et Appliquées. 2017. Vol. 108. P. 841-868. doi
• Article Bekmaganbetov K. A., Chechkin G. A., Chepyzhov V. V., Goritsky A. Y. Homogenization of trajectory attractors of 3D Navier-Stokes system with randomly oscillating force // Discrete and Continuous Dynamical Systems. 2017. Vol. 37. No. 5. P. 2375-2393. doi
• Article Chepyzhov V. V., Ilyin A., Zelik S. Strong trajectory and global W1,p-attractors for the damped-driven euler system in R2 // Discrete and Continuous Dynamical Systems - Series B. 2017. Vol. 22. No. 5. P. 1835 -1855. doi
• Article Chepyzhov V. V. Approximating the trajectory attractor of the 3D Navier-Stokes system using various α-models of fluid dynamics // Sbornik Mathematics. 2016. Vol. 207. No. 4. P. 610. doi
• Article Chepyzhov V. V., Zelik S. Infinite Energy Solutions for Dissipative Euler Equations in R2 // Journal of Mathematical Fluid Mechanics. 2015. Vol. 17. No. 3. P. 513-532. doi
• Article Chepyzhov V. V. Trajectory attractors for non-autonomous dissipative 2d Euler equations // Discrete and Continuous Dynamical Systems - Series B. 2015. Vol. 20. No. 3. P. 811-832. doi
• Article Chepyzhov V. V., Pata V., Conti M. Totally dissipative dynamical processes // Communications on Pure and Applied Analysis. 2014. Vol. 13. No. 5. P. 1989-2004.
• Article Chepyzhov V. V., Conti M., Pata V. A minimal approach to the theory of global attractors // Discrete and Continuous Dynamical Systems. 2012. Vol. 32. No. 6. P. 2079-2088.
• Article Chepyzhov V. V., Vishik M., Zelik S. Strong trajectory attractors for dissipative Euler equations // Journal de Mathématiques Pures et Appliquées. 2011. Vol. 96. P. 395-407.
• Article Chepyzhov V. V., Vishik M. Trajectory attractor for reaction-diffusion system with diffusion coefficient vanishing in time // Discrete and Continuous Dynamical Systems. 2010. Vol. 27. No. 4. P. 1493-1509.
• Article Chepyzhov V. V., Pata V., Vishik M. Averaging of 2D Navier-Stokes equations with singularly oscillating forces // Nonlinearity. 2009. Vol. 22. No. 2. P. 351-370.
• Article Chepyzhov V. V., Vishik M. Trajectory attractor for reaction-diffusion system with a series of zero diffusion coefficients // Russian Journal of Mathematical Physics. 2009. Vol. 16. No. 2. P. 208-227.
• Chapter Chepyzhov V. V., Vishik M. Attractors for nonautonomous Navier–Stokes system and other partial differential equations, in: Instability in Models Connected with Fluid Flows, I Vol. 6: International Mathematical Series. Springer, 2008. P. 135-265.
• Article Chepyzhov V. V., Pata V., Vishik M. Averaging of nonautonomous damped wave equations with singularly oscillating external forces // Journal de Mathématiques Pures et Appliquées. 2008. Vol. 90. P. 469-491.
• Article Chepyzhov V. V., Vishik M. Trajectory attractors for dissipative 2d Euler and Navier-Stokes equations // Russian Journal of Mathematical Physics. 2008. Vol. 15. No. 2. P. 156-170.