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
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
Bekmaganbetov, Kuanysh A.; Chechkin, Gregory A.; Chepyzhov, Vladimir V.; Goritsky, Andrey Yu. Homogenization of trajectory attractors of 3D Navier-Stokes system with randomly oscillating force. (English) Zbl 1357.35045 Discrete Contin. Dyn. Syst. 37, No. 5, 2375-2393 (2017). MSC: 35B40 35B41 35B45 35Q30 PDFBibTeX XMLCite \textit{K. A. Bekmaganbetov} et al., Discrete Contin. Dyn. Syst. 37, No. 5, 2375--2393 (2017; Zbl 1357.35045) Full Text: DOI
Amirat, Youcef; Bodart, Olivier; Chechkin, Gregory A.; Piatnitski, Andrey L. Asymptotics of a spectral-sieve problem. (English) Zbl 1332.35235 J. Math. Anal. Appl. 435, No. 2, 1652-1671 (2016). MSC: 35P05 35P20 35B27 PDFBibTeX XMLCite \textit{Y. Amirat} et al., J. Math. Anal. Appl. 435, No. 2, 1652--1671 (2016; Zbl 1332.35235) Full Text: DOI
Gadyl’shin, R. R.; Koroleva, Yu. O.; Chechkin, G. A. On the asymptotic behavior of a simple eigenvalue of a boundary value problem in a domain perforated along the boundary. (English. Russian original) Zbl 1228.35162 Differ. Equ. 47, No. 6, 822-831 (2011); translation from Differ. Uravn. 47, No. 6, 819-828 (2011). MSC: 35P20 58J50 35B27 PDFBibTeX XMLCite \textit{R. R. Gadyl'shin} et al., Differ. Equ. 47, No. 6, 822--831 (2011; Zbl 1228.35162); translation from Differ. Uravn. 47, No. 6, 819--828 (2011) Full Text: DOI
Gadyl’shin, R. R.; Koroleva, Yu. O.; Chechkin, G. A. On the convergence of solutions and eigenelements of a boundary value problem in a domain perforated along the boundary. (English. Russian original) Zbl 1206.35031 Differ. Equ. 46, No. 5, 667-680 (2010); translation from Differ. Uravn. 46, No. 5, 665-677 (2010). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 35P05 35J25 PDFBibTeX XMLCite \textit{R. R. Gadyl'shin} et al., Differ. Equ. 46, No. 5, 667--680 (2010; Zbl 1206.35031); translation from Differ. Uravn. 46, No. 5, 665--677 (2010) Full Text: DOI
Amirat, Youcef; Chechkin, Gregory A.; Gadyl’shin, Rustem R. Spectral boundary homogenization in domains with oscillating boundaries. (English) Zbl 1204.35035 Nonlinear Anal., Real World Appl. 11, No. 6, 4492-4499 (2010). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 35P05 35J05 35J25 PDFBibTeX XMLCite \textit{Y. Amirat} et al., Nonlinear Anal., Real World Appl. 11, No. 6, 4492--4499 (2010; Zbl 1204.35035) Full Text: DOI
Amirat, Youcef; Chechkin, Gregory A.; Gadyl’shin, Rustem R. Asymptotic approximation of eigenelements of the Dirichlet problem for the Laplacian in a domain with shoots. (English) Zbl 1200.35020 Math. Methods Appl. Sci. 33, No. 7, 811-830 (2010). MSC: 35B27 76M50 35P05 35C20 35J25 PDFBibTeX XMLCite \textit{Y. Amirat} et al., Math. Methods Appl. Sci. 33, No. 7, 811--830 (2010; Zbl 1200.35020) Full Text: DOI
Chechkin, Gregory Operator pencil in a domain with concentrated masses. A scalar analog of linear hydrodynamics. (English) Zbl 1183.76706 Laptev, Ari (ed.), Around the research of Vladimir Maz’ya. II. Partial differential equations. Dordrecht: Springer; Novosibirsk: Tamara Rozhkovskaya Publisher (ISBN 978-1-4419-1342-5/hbk; 978-1-4419-1343-2/ebook; 978-5-9018-7342-7/hbk). International Mathematical Series (New York) 12, 61-94 (2010). MSC: 76D99 47A56 PDFBibTeX XMLCite \textit{G. Chechkin}, Int. Math. Ser., N.Y. 12, 61--94 (2010; Zbl 1183.76706) Full Text: DOI
Mel’nik, T. A.; Chechkin, G. A.; Chechkina, T. P. Convergence theorems for solutions and energy functionals of boundary value problems in thick multilevel junctions of a new type with perturbed Neumann conditions on the boundary of thin rectangles. (English. Russian original) Zbl 1207.35045 J. Math. Sci., New York 159, No. 1, 113-132 (2009); translation from Probl. Mat. Anal. 40, 113-132 (2009). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 35B40 35J25 PDFBibTeX XMLCite \textit{T. A. Mel'nik} et al., J. Math. Sci., New York 159, No. 1, 113--132 (2009; Zbl 1207.35045); translation from Probl. Mat. Anal. 40, 113--132 (2009) Full Text: DOI
Mel’nik, T. A.; Chechkin, G. A. Homogenization of a boundary value problem in a thick cascade junction. (English. Russian original) Zbl 1202.35021 J. Math. Sci., New York 154, No. 1, 50-77 (2008); translation from Probl. Mat. Anal. 37, 47-72 (2008). MSC: 35B27 35J05 PDFBibTeX XMLCite \textit{T. A. Mel'nik} and \textit{G. A. Chechkin}, J. Math. Sci., New York 154, No. 1, 50--77 (2008; Zbl 1202.35021); translation from Probl. Mat. Anal. 37, 47--72 (2008) Full Text: DOI
Chechkin, Gregory A.; Gadyl’shin, Rustem R. On boundary-value problems for the Laplacian in bounded domains with micro inhomogeneous structure of the boundaries. (English) Zbl 1116.35010 Acta Math. Sin., Engl. Ser. 23, No. 2, 237-248 (2007). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 35B25 35J25 PDFBibTeX XMLCite \textit{G. A. Chechkin} and \textit{R. R. Gadyl'shin}, Acta Math. Sin., Engl. Ser. 23, No. 2, 237--248 (2007; Zbl 1116.35010) Full Text: DOI
Chechkin, Gregory A.; Gadyl’shin, Rustem R. On boundary-value problems for the Laplacian in bounded and in unbounded domains with perforated boundaries. (English) Zbl 1077.35016 J. Differ. Equations 216, No. 2, 502-522 (2005). Reviewer: Marco Biroli (Milano) MSC: 35B27 35J25 PDFBibTeX XMLCite \textit{G. A. Chechkin} and \textit{R. R. Gadyl'shin}, J. Differ. Equations 216, No. 2, 502--522 (2005; Zbl 1077.35016) Full Text: DOI arXiv
Belyaev, A. Yu.; Chechkin, G. A. Averaging operators with boundary conditions of fine-scaled structure. (English. Russian original) Zbl 0970.35019 Math. Notes 65, No. 4, 418-429 (1999); translation from Mat. Zametki 65, No. 4, 496-510 (1999). Reviewer: T.A.Dzhangveladze (Tbilisi) MSC: 35J25 35B25 35B27 PDFBibTeX XMLCite \textit{A. Yu. Belyaev} and \textit{G. A. Chechkin}, Math. Notes 65, No. 4, 418--429 (1999; Zbl 0970.35019); translation from Mat. Zametki 65, No. 4, 496--510 (1999) Full Text: DOI
Chechkin, Gregory A.; Piatnitski, Andrey L. Homogenization of boundary-value problem in a locally periodic perforated domain. (English) Zbl 1030.35009 Appl. Anal. 71, No. 1-4, 215-235 (1999). Reviewer: Dan Polisevski (Bucureşti) MSC: 35B27 35C20 35J25 74Q05 PDFBibTeX XMLCite \textit{G. A. Chechkin} and \textit{A. L. Piatnitski}, Appl. Anal. 71, No. 1--4, 215--235 (1999; Zbl 1030.35009) Full Text: DOI
Belyaev, A. G.; Pyatnitskij, A. L.; Chechkin, G. A. Asymptotic behavior of a solution to a boundary value problem in a perforated domain with oscillating boundary. (English. Russian original) Zbl 0918.35043 Sib. Math. J. 39, No. 4, 621-644 (1998); translation from Sib. Mat. Zh. 39, No. 4, 730-754 (1998). Reviewer: V.Grebenev (Novosibirsk) MSC: 35J25 35B40 35J05 35C20 35A20 35B27 PDFBibTeX XMLCite \textit{A. G. Belyaev} et al., Sib. Math. J. 39, No. 4, 730--754 (1998; Zbl 0918.35043); translation from Sib. Mat. Zh. 39, No. 4, 730--754 (1998) Full Text: DOI