Cancedda, Andrea; Chiadó Piat, Valeria; Nazarov, Sergei A.; Taskinen, Jari Spectral gaps for the linear water-wave problem in a channel with thin structures. (English) Zbl 1523.35131 Math. Nachr. 295, No. 4, 657-682 (2022). MSC: 35J05 35J25 35P15 47A10 PDFBibTeX XMLCite \textit{A. Cancedda} et al., Math. Nachr. 295, No. 4, 657--682 (2022; Zbl 1523.35131) Full Text: DOI OA License
Nazarov, S. A. Abnormal transmission of elastic waves through a thin ligament connecting two planar isotropic waveguides. (English. Russian original) Zbl 1516.74058 Mech. Solids 57, No. 8, 1908-1922 (2022); translation from Prikl. Mat. Mekh. 86, No. 6, 977-997 (2022). MSC: 74J20 74H10 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Mech. Solids 57, No. 8, 1908--1922 (2022; Zbl 1516.74058); translation from Prikl. Mat. Mekh. 86, No. 6, 977--997 (2022) Full Text: DOI
Mel’nyk, Taras A.; Klevtsovskiy, Arsen V. Asymptotic expansion for the solution of a convection-diffusion problem in a thin graph-like junction. (English) Zbl 1503.35177 Asymptotic Anal. 130, No. 3-4, 505-530 (2022). MSC: 35Q35 76R50 35C20 35B40 35R02 PDFBibTeX XMLCite \textit{T. A. Mel'nyk} and \textit{A. V. Klevtsovskiy}, Asymptotic Anal. 130, No. 3--4, 505--530 (2022; Zbl 1503.35177) Full Text: DOI arXiv
Chesnel, Lucas; Heleine, Jérémy; Nazarov, Sergei A. Acoustic passive cloaking using thin outer resonators. (English) Zbl 1487.35265 Z. Angew. Math. Phys. 73, No. 3, Paper No. 98, 31 p. (2022). MSC: 35P25 35B40 35J25 35Q60 41A60 78A40 78M35 PDFBibTeX XMLCite \textit{L. Chesnel} et al., Z. Angew. Math. Phys. 73, No. 3, Paper No. 98, 31 p. (2022; Zbl 1487.35265) Full Text: DOI arXiv
Aiyappan, Srinivasan; Cardone, Giuseppe; Perugia, Carmen; Prakash, Ravi Homogenization of a nonlinear monotone problem in a locally periodic domain via unfolding method. (English) Zbl 1485.35025 Nonlinear Anal., Real World Appl. 66, Article ID 103537, 15 p. (2022). MSC: 35B27 35J25 35J62 35B40 47H05 74K30 PDFBibTeX XMLCite \textit{S. Aiyappan} et al., Nonlinear Anal., Real World Appl. 66, Article ID 103537, 15 p. (2022; Zbl 1485.35025) Full Text: DOI arXiv
Mel’nyk, Taras Asymptotic approximations for eigenvalues and eigenfunctions of a spectral problem in a thin graph-like junction with a concentrated mass in the node. (English) Zbl 1476.35023 Anal. Appl., Singap. 19, No. 5, 875-939 (2021). MSC: 35B25 35B40 35C20 35J25 35P05 47A75 74K30 PDFBibTeX XMLCite \textit{T. Mel'nyk}, Anal. Appl., Singap. 19, No. 5, 875--939 (2021; Zbl 1476.35023) Full Text: DOI arXiv
Nazarov, S. A.; Chesnel, L. Anomalies of acoustic wave propagation in two semi-infinite cylinders connected by a flattened ligament. (English. Russian original) Zbl 1465.76093 Comput. Math. Math. Phys. 61, No. 4, 646-663 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 4, 666-683 (2021). MSC: 76Q05 76M45 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{L. Chesnel}, Comput. Math. Math. Phys. 61, No. 4, 646--663 (2021; Zbl 1465.76093); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 4, 666--683 (2021) Full Text: DOI
Nazarov, Sergei A. Waveguide with double threshold resonance at a simple threshold. (English. Russian original) Zbl 1454.35063 Sb. Math. 211, No. 8, 1080-1126 (2020); translation from Mat. Sb. 211, No. 8, 20-67 (2020). MSC: 35J05 35J25 35P05 35P25 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Sb. Math. 211, No. 8, 1080--1126 (2020; Zbl 1454.35063); translation from Mat. Sb. 211, No. 8, 20--67 (2020) Full Text: DOI
Nazarov, S. A. Waves in a plane rectangular lattice of thin elastic waveguides. (English. Russian original) Zbl 1450.74020 J. Math. Sci., New York 242, No. 2, 227-279 (2019); translation from Probl. Mat. Anal. 99, 47-88 (2019). Reviewer: Panagiotis Koumantos (Athína) MSC: 74J20 74B05 35Q74 35P15 PDFBibTeX XMLCite \textit{S. A. Nazarov}, J. Math. Sci., New York 242, No. 2, 227--279 (2019; Zbl 1450.74020); translation from Probl. Mat. Anal. 99, 47--88 (2019) Full Text: DOI
Markou, George; Mourlas, Christos; Papadrakakis, Manolis Computationally efficient and robust nonlinear 3D cyclic modeling of RC structures through a hybrid finite element model (HYMOD). (English) Zbl 1404.74149 Int. J. Comput. Methods 16, No. 1, Article ID 1850125, 40 p. (2019). MSC: 74R10 74S05 65N30 PDFBibTeX XMLCite \textit{G. Markou} et al., Int. J. Comput. Methods 16, No. 1, Article ID 1850125, 40 p. (2019; Zbl 1404.74149) Full Text: DOI
Bonnet-Ben Dhia, Anne-Sophie; Chesnel, Lucas; Nazarov, Sergei A. Perfect transmission invisibility for waveguides with sound hard walls. (English. French summary) Zbl 1397.35197 J. Math. Pures Appl. (9) 111, 79-105 (2018). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q35 76Q05 65N30 35C20 35R30 65N21 65N25 35J05 35B25 PDFBibTeX XMLCite \textit{A.-S. Bonnet-Ben Dhia} et al., J. Math. Pures Appl. (9) 111, 79--105 (2018; Zbl 1397.35197) Full Text: DOI arXiv
Mel’nyk, Taras A.; Klevtsovskiy, Arsen V. Asymptotic approximation for the solution to a semi-linear elliptic problem in a thin aneurysm-type domain. (English) Zbl 1382.35107 Open Math. 15, 1351-1370 (2017). MSC: 35J61 PDFBibTeX XMLCite \textit{T. A. Mel'nyk} and \textit{A. V. Klevtsovskiy}, Open Math. 15, 1351--1370 (2017; Zbl 1382.35107) Full Text: DOI
Klevtsovskiy, A. V.; Mel’nyk, T. A. Asymptotic approximations of the solution to a boundary value problem in a thin aneurysm type domain. (English. Russian original) Zbl 1458.35144 J. Math. Sci., New York 224, No. 5, 667-693 (2017); translation from Probl. Mat. Anal. 88, 59-81 (2017); erratum ibid. 226, No. 4, 545 (2017). MSC: 35J05 35J25 PDFBibTeX XMLCite \textit{A. V. Klevtsovskiy} and \textit{T. A. Mel'nyk}, J. Math. Sci., New York 224, No. 5, 667--693 (2017; Zbl 1458.35144); translation from Probl. Mat. Anal. 88, 59--81 (2017); erratum ibid. 226, No. 4, 545 (2017) Full Text: DOI arXiv
Klevtsovskiy, A. V.; Mel’nyk, T. A. Asymptotic expansion for the solution to a boundary-value problem in a thin cascade domain with a local joint. (English) Zbl 1348.35019 Asymptotic Anal. 97, No. 3-4, 265-290 (2016). Reviewer: Hussein Fakih (Nabatieh) MSC: 35B25 35C20 35J05 35B40 35J25 PDFBibTeX XMLCite \textit{A. V. Klevtsovskiy} and \textit{T. A. Mel'nyk}, Asymptotic Anal. 97, No. 3--4, 265--290 (2016; Zbl 1348.35019) Full Text: DOI arXiv
Klevtsovs’kyi, A. V.; Mel’nyk, T. A. Asymptotic expansion of the solution of an elliptic boundary-value problem in a thin cascade domain. (English. Ukrainian original) Zbl 1303.35004 J. Math. Sci., New York 198, No. 3, 303-327 (2014); translation from Neliniĭni Kolyvannya 16, No. 2, 214-237 (2013). Reviewer: Andreas Kleefeld (Cottbus) MSC: 35J05 PDFBibTeX XMLCite \textit{A. V. Klevtsovs'kyi} and \textit{T. A. Mel'nyk}, J. Math. Sci., New York 198, No. 3, 303--327 (2014; Zbl 1303.35004); translation from Neliniĭni Kolyvannya 16, No. 2, 214--237 (2013) Full Text: DOI arXiv
Abatangelo, Laura; Felli, Veronica; Terracini, Susanna On the sharp effect of attaching a thin handle on the spectral rate of convergence. (English) Zbl 1285.35055 J. Funct. Anal. 266, No. 6, 3632-3684 (2014). MSC: 35P20 PDFBibTeX XMLCite \textit{L. Abatangelo} et al., J. Funct. Anal. 266, No. 6, 3632--3684 (2014; Zbl 1285.35055) Full Text: DOI arXiv
Chechkina, T. P. Averaging in cascade junctions with a “wide” transmission domain. (English. Russian original) Zbl 1277.74063 J. Math. Sci., New York 190, No. 1, 157-169 (2013); translation from Sovrem. Mat., Fundam. Napravl. 39, 151-162 (2011). MSC: 74Q05 35Q74 35B27 35J25 74K30 PDFBibTeX XMLCite \textit{T. P. Chechkina}, J. Math. Sci., New York 190, No. 1, 157--169 (2013; Zbl 1277.74063); translation from Sovrem. Mat., Fundam. Napravl. 39, 151--162 (2011) Full Text: DOI
Mel’nik, T. A.; Sadovyi, D. Yu. Homogenization of boundary value problems in two-level thick junctions consisting of thin disks with rounded or sharp edges. (English. Russian original) Zbl 1268.74031 J. Math. Sci., New York 191, No. 2, 254-279 (2013); translation from Probl. Mat. Anal. 70, 139-160 (2013). MSC: 74K25 35Q74 35J05 74Q10 74K35 PDFBibTeX XMLCite \textit{T. A. Mel'nik} and \textit{D. Yu. Sadovyi}, J. Math. Sci., New York 191, No. 2, 254--279 (2013; Zbl 1268.74031); translation from Probl. Mat. Anal. 70, 139--160 (2013) Full Text: DOI
Nazarov, S. A. Asymptotics of eigen-oscillations of a massive elastic body with a thin baffle. (English) Zbl 1333.74036 Izv. Math. 77, No. 1, 87-142 (2013). MSC: 74G10 74K30 74H45 35Q74 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Izv. Math. 77, No. 1, 87--142 (2013; Zbl 1333.74036) Full Text: DOI
Mel’nyk, T. A.; Nakvasiuk, Iu. A. Homogenization of a parabolic Signorini boundary value problem in a thick plane junction. (English. Russian original) Zbl 1348.35022 J. Math. Sci., New York 181, No. 5, 613-631 (2012); translation from Probl. Mat. Anal. 63, 67-82 (2012). MSC: 35B27 35D30 35K20 PDFBibTeX XMLCite \textit{T. A. Mel'nyk} and \textit{Iu. A. Nakvasiuk}, J. Math. Sci., New York 181, No. 5, 613--631 (2012; Zbl 1348.35022); translation from Probl. Mat. Anal. 63, 67--82 (2012) Full Text: DOI
Nazarov, S. A. Asymptotics of solutions to the spectral elasticity problem for a spatial body with a thin coupler. (English. Russian original) Zbl 1414.74005 Sib. Math. J. 53, No. 2, 274-290 (2012); translation from Sib. Mat. Zh. 53, No. 2, 345-364 (2012). MSC: 74B05 74K30 74E10 74G10 35Q74 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Sib. Math. J. 53, No. 2, 274--290 (2012; Zbl 1414.74005); translation from Sib. Mat. Zh. 53, No. 2, 345--364 (2012) Full Text: DOI
Chechkin, Gregory A.; Mel’nyk, Taras A. Asymptotics of eigenelements to spectral problem in thick cascade junction with concentrated masses. (English) Zbl 1254.35168 Appl. Anal. 91, No. 6, 1055-1095 (2012). Reviewer: Alain Brillard (Riedisheim) MSC: 35P20 35B27 35B40 47A75 74K30 PDFBibTeX XMLCite \textit{G. A. Chechkin} and \textit{T. A. Mel'nyk}, Appl. Anal. 91, No. 6, 1055--1095 (2012; Zbl 1254.35168) Full Text: DOI
Chechkin, G. A.; Koroleva, Yu. O.; Persson, L.-E.; Wall, P. On spectrum of the Laplacian in a circle perforated along the boundary: application to a Friedrichs-type inequality. (English) Zbl 1239.35106 Int. J. Differ. Equ. 2011, Article ID 619623, 22 p. (2011). MSC: 35P20 35R05 35J05 PDFBibTeX XMLCite \textit{G. A. Chechkin} et al., Int. J. Differ. Equ. 2011, Article ID 619623, 22 p. (2011; Zbl 1239.35106) 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
Blanco, P. J.; Feijóo, R. A.; Urquiza, S. A. A variational approach for coupling kinematically incompatible structural models. (English) Zbl 1194.74187 Comput. Methods Appl. Mech. Eng. 197, No. 17-18, 1577-1602 (2008). MSC: 74K99 74S05 PDFBibTeX XMLCite \textit{P. J. Blanco} et al., Comput. Methods Appl. Mech. Eng. 197, No. 17--18, 1577--1602 (2008; Zbl 1194.74187) Full Text: DOI
Maz’ya, V. G.; Movchan, A. B. Dynamic singular perturbation problems for multi-structures. (English) Zbl 0972.60081 Appl. Stoch. Models Bus. Ind. 16, No. 4, 249-278 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60J50 62P30 60G60 PDFBibTeX XMLCite \textit{V. G. Maz'ya} and \textit{A. B. Movchan}, Appl. Stoch. Models Bus. Ind. 16, No. 4, 249--278 (2000; Zbl 0972.60081) Full Text: DOI