Bekmaganbetov, K. A.; Tolemys, A. A.; Chepyzhov, V. V.; Chechkin, G. A. On attractors of Ginzburg-Landau equations in domain with locally periodic microstructure: subcritical, critical, and supercritical cases. (English. Russian original) Zbl 07812313 Dokl. Math. 108, No. 2, 346-351 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 513, 9-14 (2023). MSC: 35B41 35B27 35Q56 PDFBibTeX XMLCite \textit{K. A. Bekmaganbetov} et al., Dokl. Math. 108, No. 2, 346--351 (2023; Zbl 07812313); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 513, 9--14 (2023) Full Text: DOI
Bekmaganbetov, K. A.; Chepyzhov, V. V.; Chechkin, G. A. Homogenization of attractors of reaction-diffusion system with rapidly oscillating terms in an orthotropic porous medium. (English. Russian original) Zbl 1477.35019 J. Math. Sci., New York 259, No. 2, 148-166 (2021); translation from Probl. Mat. Anal. 112, 35-50 (2021). MSC: 35B27 35B41 35K20 35K57 PDFBibTeX XMLCite \textit{K. A. Bekmaganbetov} et al., J. Math. Sci., New York 259, No. 2, 148--166 (2021; Zbl 1477.35019); translation from Probl. Mat. Anal. 112, 35--50 (2021) Full Text: DOI
Bekmaganbetov, K. A.; Chepyzhov, V. V.; Chechkin, G. A. On attractors of reaction-diffusion equations in a porous orthotropic medium. (English. Russian original) Zbl 1477.35035 Dokl. Math. 103, No. 3, 103-107 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 10-15 (2021). MSC: 35B41 35B27 35K20 35K57 35K58 PDFBibTeX XMLCite \textit{K. A. Bekmaganbetov} et al., Dokl. Math. 103, No. 3, 103--107 (2021; Zbl 1477.35035); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 10--15 (2021) Full Text: DOI
Bekmaganbetov, Kuanysh A.; Chechkin, Gregory A.; Chepyzhov, Vladimir V. “Strange term” in homogenization of attractors of reaction-diffusion equation in perforated domain. (English) Zbl 1495.35098 Chaos Solitons Fractals 140, Article ID 110208, 9 p. (2020). MSC: 35K57 35B27 35B41 35B40 PDFBibTeX XMLCite \textit{K. A. Bekmaganbetov} et al., Chaos Solitons Fractals 140, Article ID 110208, 9 p. (2020; Zbl 1495.35098) Full Text: DOI
Bekmaganbetov, Kuanysh A.; Chechkin, Gregory A.; Chepyzhov, Vladimir V. Strong convergence of trajectory attractors for reaction-diffusion systems with random rapidly oscillating terms. (English) Zbl 1435.35072 Commun. Pure Appl. Anal. 19, No. 5, 2419-2443 (2020). MSC: 35B41 35B27 35B45 35Q30 35R60 35K20 35K58 PDFBibTeX XMLCite \textit{K. A. Bekmaganbetov} et al., Commun. Pure Appl. Anal. 19, No. 5, 2419--2443 (2020; Zbl 1435.35072) Full Text: DOI
Bekmaganbetov, Kuanysh A.; Chechkin, Gregory A.; Chepyzhov, Vladimir V. Weak convergence of attractors of reaction-diffusion systems with randomly oscillating coefficients. (English) Zbl 1411.35043 Appl. Anal. 98, No. 1-2, 256-271 (2019). MSC: 35B41 35B40 35B45 35Q30 35R60 35K57 35B27 PDFBibTeX XMLCite \textit{K. A. Bekmaganbetov} et al., Appl. Anal. 98, No. 1--2, 256--271 (2019; Zbl 1411.35043) Full Text: DOI
Chechkin, Gregory A.; Chepyzhov, Vladimir V.; Pankratov, Leonid S. Homogenization of trajectory attractors of Ginzburg-Landau equations with randomly oscillating terms. (English) Zbl 1404.35023 Discrete Contin. Dyn. Syst., Ser. B 23, No. 3, 1133-1154 (2018). MSC: 35B27 35B40 35B41 35B45 35R60 35Q56 PDFBibTeX XMLCite \textit{G. A. Chechkin} et al., Discrete Contin. Dyn. Syst., Ser. B 23, No. 3, 1133--1154 (2018; Zbl 1404.35023) Full Text: DOI
Chepyzhov, V. V. Uniform attractors of dynamical processes and non-autonomous equations of mathematical physics. (English. Russian original) Zbl 1278.35024 Russ. Math. Surv. 68, No. 2, 349-382 (2013); translation from Usp. Mat. Nauk. 68, No. 2, 159-196 (2013). Reviewer: Jauber C. Oliveira (Florianopolis) MSC: 35B41 34G20 35K57 35Q30 35L70 PDFBibTeX XMLCite \textit{V. V. Chepyzhov}, Russ. Math. Surv. 68, No. 2, 349--382 (2013; Zbl 1278.35024); translation from Usp. Mat. Nauk. 68, No. 2, 159--196 (2013) Full Text: DOI
Chepyzhov, Vladimir; Vishik, Mark Attractors for nonautonomous Navier-Stokes system and other partial differential equations. (English) Zbl 1141.76018 Bardos, Claude (ed.) et al., Instability in models connected with fluid flows I. New York, NY: Springer (ISBN 978-0-387-75216-7/hbk). International Mathematical Series (New York) 6, 135-265 (2008). MSC: 76D03 35Q30 PDFBibTeX XMLCite \textit{V. Chepyzhov} and \textit{M. Vishik}, Int. Math. Ser., N.Y. 6, 135--265 (2008; Zbl 1141.76018) Full Text: DOI
Chepyzhov, V. V.; Vishik, M. I. Non-autonomous 2D Navier-Stokes system with singularly oscillating external force and its global attractor. (English) Zbl 1132.35017 J. Dyn. Differ. Equations 19, No. 3, 655-684 (2007). Reviewer: Il’ya Sh. Mogilevskij (Tver’) MSC: 35B41 35B45 35Q35 35B40 35B25 35B27 PDFBibTeX XMLCite \textit{V. V. Chepyzhov} and \textit{M. I. Vishik}, J. Dyn. Differ. Equations 19, No. 3, 655--684 (2007; Zbl 1132.35017) Full Text: DOI
Vishik, M. I.; Chepyzhov, V. V. Attractors of dissipative hyperbolic equations with singularly oscillating external forces. (English) Zbl 1124.37046 Math. Notes 79, No. 4, 483-504 (2006); translation from Mat. Zametki 79, No. 4, 522-545 (2006). Reviewer: Christian Pötzsche (München) MSC: 37L05 35L05 37C70 37L30 PDFBibTeX XMLCite \textit{M. I. Vishik} and \textit{V. V. Chepyzhov}, Math. Notes 79, No. 4, 483--504 (2006; Zbl 1124.37046); translation from Mat. Zametki 79, No. 4, 522--545 (2006) Full Text: DOI
Chepyzhov, Vladimir V.; Vishik, Mark I. Non-autonomous evolution equations with almost periodic symbols. (English) Zbl 0827.35013 Rend. Semin. Mat. Fis. Milano 62, 185-213 (1992). Reviewer: Zheng Songmu (Shanghai) MSC: 35B40 35B10 35B15 PDFBibTeX XMLCite \textit{V. V. Chepyzhov} and \textit{M. I. Vishik}, Rend. Semin. Mat. Fis. Milano 62, 185--213 (1992; Zbl 0827.35013) Full Text: DOI