Chesnel, Lucas; Heleine, Jérémy; Nazarov, Sergei A. Acoustic passive cloaking using thin outer resonators. (English) Zbl 07517422 Z. Angew. Math. Phys. 73, No. 3, Paper No. 98, 31 p. (2022). MSC: 35P25 35B40 35J25 35Q60 41A60 78A40 78M35 PDF BibTeX XML Cite \textit{L. Chesnel} et al., Z. Angew. Math. Phys. 73, No. 3, Paper No. 98, 31 p. (2022; Zbl 07517422) Full Text: DOI OpenURL
Chesnel, Lucas; Heleine, Jérémy; Nazarov, Sergei A. Design of a mode converter using thin resonant ligaments. (English) Zbl 1483.35014 Commun. Math. Sci. 20, No. 2, 425-445 (2022). MSC: 35B25 35B40 35J25 35Q60 41A60 78A40 78M35 PDF BibTeX XML Cite \textit{L. Chesnel} et al., Commun. Math. Sci. 20, No. 2, 425--445 (2022; Zbl 1483.35014) Full Text: DOI arXiv OpenURL
Nazarov, S. A.; Chesnel, L. Almost complete transmission of waves through perforated cross-walls in a waveguide with Dirichlet boundary condition. (English. Russian original) Zbl 1462.35378 Sib. Math. J. 62, No. 2, 272-291 (2021); translation from Sib. Mat. Zh. 62, No. 2, 339-361 (2021). MSC: 35Q60 78A50 78A45 35B40 PDF BibTeX XML Cite \textit{S. A. Nazarov} and \textit{L. Chesnel}, Sib. Math. J. 62, No. 2, 272--291 (2021; Zbl 1462.35378); translation from Sib. Mat. Zh. 62, No. 2, 339--361 (2021) Full Text: DOI OpenURL
Nazarov, S. A. Threshold resonances and virtual levels in the spectrum of cylindrical and periodic waveguides. (English. Russian original) Zbl 1458.35031 Izv. Math. 84, No. 6, 1105-1160 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 6, 73-130 (2020). MSC: 35B25 35P05 35Q60 47A53 78A50 82D77 PDF BibTeX XML Cite \textit{S. A. Nazarov}, Izv. Math. 84, No. 6, 1105--1160 (2020; Zbl 1458.35031); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 6, 73--130 (2020) Full Text: DOI OpenURL
Nazarov, S. A. Asymptotics of the eigenvalues and eigenfunctions of a thin square Dirichlet lattice with a curved ligament. (English. Russian original) Zbl 1419.35144 Math. Notes 105, No. 4, 559-579 (2019); translation from Mat. Zametki 105, No. 4, 564-588 (2019). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P20 35J25 78A50 81Q37 PDF BibTeX XML Cite \textit{S. A. Nazarov}, Math. Notes 105, No. 4, 559--579 (2019; Zbl 1419.35144); translation from Mat. Zametki 105, No. 4, 564--588 (2019) Full Text: DOI OpenURL
Leugering, Günter; Nazarov, Sergei A.; Taskinen, Jari Umov-Poynting-Mandelstam radiation conditions in periodic composite piezoelectric waveguides. (English) Zbl 1420.35396 Asymptotic Anal. 111, No. 2, 69-111 (2019). MSC: 35Q60 35Q74 74F15 78A50 35B40 78A40 74B05 76Q05 PDF BibTeX XML Cite \textit{G. Leugering} et al., Asymptotic Anal. 111, No. 2, 69--111 (2019; Zbl 1420.35396) Full Text: DOI OpenURL
Chesnel, Lucas; Nazarov, Sergei A. Non reflection and perfect reflection via Fano resonance in waveguides. (English) Zbl 1421.78017 Commun. Math. Sci. 16, No. 7, 1779-1800 (2018). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A40 65N21 35J05 78A46 35Q60 78A50 78M35 PDF BibTeX XML Cite \textit{L. Chesnel} and \textit{S. A. Nazarov}, Commun. Math. Sci. 16, No. 7, 1779--1800 (2019; Zbl 1421.78017) Full Text: DOI arXiv OpenURL
Nazarov, S. A. Various manifestations of wood anomalies in locally distorted quantum waveguides. (English. Russian original) Zbl 1421.78020 Comput. Math. Math. Phys. 58, No. 11, 1838-1855 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 11, 1911-1931 (2018). MSC: 78A50 78A45 78M35 35J05 35Q60 35B25 81V80 81Q37 82D77 PDF BibTeX XML Cite \textit{S. A. Nazarov}, Comput. Math. Math. Phys. 58, No. 11, 1838--1855 (2018; Zbl 1421.78020); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 11, 1911--1931 (2018) Full Text: DOI OpenURL
Nazarov, S. A. Breakdown of cycles and the possibility of opening spectral gaps in a square lattice of thin acoustic waveguides. (English. Russian original) Zbl 1406.35210 Izv. Math. 82, No. 6, 1148-1195 (2018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 6, 78-127 (2018). Reviewer: Rodica Luca (Iaşi) MSC: 35P20 35Q60 47A75 78A50 PDF BibTeX XML Cite \textit{S. A. Nazarov}, Izv. Math. 82, No. 6, 1148--1195 (2018; Zbl 1406.35210); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 6, 78--127 (2018) Full Text: DOI OpenURL
Chesnel, Lucas; Nazarov, Sergei A.; Pagneux, Vincent Invisibility and perfect reflectivity in waveguides with finite length branches. (English) Zbl 1394.35578 SIAM J. Appl. Math. 78, No. 4, 2176-2199 (2018). MSC: 35R30 65N21 35J05 78A46 78A40 PDF BibTeX XML Cite \textit{L. Chesnel} et al., SIAM J. Appl. Math. 78, No. 4, 2176--2199 (2018; Zbl 1394.35578) Full Text: DOI arXiv OpenURL
Nazarov, S. A. Transmission of waves through a small aperture in the cross-wall in an acoustic waveguide. (English. Russian original) Zbl 1394.35146 Sib. Math. J. 59, No. 1, 85-101 (2018); translation from Sib. Mat. Zh. 59, No. 1, 110-129 (2018). MSC: 35J05 78A50 PDF BibTeX XML Cite \textit{S. A. Nazarov}, Sib. Math. J. 59, No. 1, 85--101 (2018; Zbl 1394.35146); translation from Sib. Mat. Zh. 59, No. 1, 110--129 (2018) Full Text: DOI OpenURL
Cardone, Giuseppe; Durante, T.; Nazarov, S. A. Embedded eigenvalues of the Neumann problem in a strip with a box-shaped perturbation. (English. French summary) Zbl 06854639 J. Math. Pures Appl. (9) 112, 1-40 (2018). MSC: 35J05 35B27 35P05 35P15 47A75 78A50 94A20 PDF BibTeX XML Cite \textit{G. Cardone} et al., J. Math. Pures Appl. (9) 112, 1--40 (2018; Zbl 06854639) Full Text: DOI arXiv OpenURL
Nazarov, S. A. Open waveguides in a thin Dirichlet lattice. II: Localized waves and radiation conditions. (English. Russian original) Zbl 1434.78020 Comput. Math. Math. Phys. 57, No. 2, 236-252 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 2, 237-254 (2017). MSC: 78A50 35J05 81Q37 78M35 78A40 82D77 35B40 PDF BibTeX XML Cite \textit{S. A. Nazarov}, Comput. Math. Math. Phys. 57, No. 2, 236--252 (2017; Zbl 1434.78020); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 2, 237--254 (2017) Full Text: DOI OpenURL
Cardone, G.; Durante, T.; Nazarov, S. A. The spectrum, radiation conditions and the Fredholm property for the Dirichlet Laplacian in a perforated plane with semi-infinite inclusions. (English) Zbl 1386.35281 J. Differ. Equations 263, No. 2, 1387-1418 (2017). Reviewer: Jonathan Rohleder (Hamburg) MSC: 35P05 47A75 49R05 78A50 PDF BibTeX XML Cite \textit{G. Cardone} et al., J. Differ. Equations 263, No. 2, 1387--1418 (2017; Zbl 1386.35281) Full Text: DOI arXiv OpenURL
Bakharev, F. L.; Nazarov, S. A. Open waveguides in doubly periodic junctions of domains with different limit dimensions. (English. Russian original) Zbl 1365.35099 Sib. Math. J. 57, No. 6, 943-956 (2016); translation from Sib. Mat. Zh. 57, No. 6, 1208-1223 (2016). MSC: 35P25 78A50 35P20 35J05 PDF BibTeX XML Cite \textit{F. L. Bakharev} and \textit{S. A. Nazarov}, Sib. Math. J. 57, No. 6, 943--956 (2016; Zbl 1365.35099); translation from Sib. Mat. Zh. 57, No. 6, 1208--1223 (2016) Full Text: DOI OpenURL
Nazarov, Sergei A.; Ruotsalainen, Keijo M.; Silvola, Minna Trapped modes in piezoelectric and elastic waveguides. (English) Zbl 1352.37198 J. Elasticity 124, No. 2, 193-223 (2016). MSC: 37N15 35P15 35Q74 74F15 74F20 37N20 78A50 PDF BibTeX XML Cite \textit{S. A. Nazarov} et al., J. Elasticity 124, No. 2, 193--223 (2016; Zbl 1352.37198) Full Text: DOI OpenURL
Nazarov, S. A. Gap opening around a given point of the spectrum of a cylindrical waveguide by means of a gentle periodic perturbation of walls. (English. Russian original) Zbl 1348.35148 J. Math. Sci., New York 206, No. 3, 288-314 (2015); translation from Zap. Nauchn. Semin. POMI 422, 90-130 (2014). Reviewer: J. M. Hoff da Silva (Guaratinguetá) MSC: 35P05 35C20 35G05 35J25 35B10 35B27 35J05 74J05 78A50 PDF BibTeX XML Cite \textit{S. A. Nazarov}, J. Math. Sci., New York 206, No. 3, 288--314 (2015; Zbl 1348.35148); translation from Zap. Nauchn. Semin. POMI 422, 90--130 (2014) Full Text: DOI OpenURL
Cardone, G.; Nazarov, S. A.; Taskinen, J. Spectra of open waveguides in periodic media. (English) Zbl 1322.35097 J. Funct. Anal. 269, No. 8, 2328-2364 (2015). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35P05 47A75 49R05 78A50 PDF BibTeX XML Cite \textit{G. Cardone} et al., J. Funct. Anal. 269, No. 8, 2328--2364 (2015; Zbl 1322.35097) Full Text: DOI arXiv OpenURL
Dhia, Anne-Sophie Bonnet-Ben; Chesnel, Lucas; Nazarov, Sergei A. Non-scattering wavenumbers and far field invisibility for a finite set of incident/scattering directions. (English) Zbl 1319.65106 Inverse Probl. 31, No. 4, Article ID 045006, 24 p. (2015). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N21 65N25 35J05 78A46 78A40 PDF BibTeX XML Cite \textit{A.-S. B. B. Dhia} et al., Inverse Probl. 31, No. 4, Article ID 045006, 24 p. (2015; Zbl 1319.65106) Full Text: DOI arXiv OpenURL
Nazarov, S. A.; Ruotsalainen, K.; Uusitalo, P. Bound states of waveguides with two right-angled bends. (English) Zbl 1323.35117 J. Math. Phys. 56, No. 2, 021505, 24 p. (2015). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P15 35P20 35J05 78A50 PDF BibTeX XML Cite \textit{S. A. Nazarov} et al., J. Math. Phys. 56, No. 2, 021505, 24 p. (2015; Zbl 1323.35117) Full Text: DOI OpenURL
Nazarov, S. A. Bounded solutions in a \(t\)-shaped waveguide and the spectral properties of the Dirichlet ladder. (Russian, English) Zbl 1313.78038 Zh. Vychisl. Mat. Mat. Fiz. 54, No. 8, 1299-1318 (2014); translation in Comput. Math. Math. Phys. 54, No. 8, 1261-1279 (2014). MSC: 78A50 81V80 PDF BibTeX XML Cite \textit{S. A. Nazarov}, Zh. Vychisl. Mat. Mat. Fiz. 54, No. 8, 1299--1318 (2014; Zbl 1313.78038); translation in Comput. Math. Math. Phys. 54, No. 8, 1261--1279 (2014) Full Text: DOI Link OpenURL
Nazarov, S. A. Asymptotics of eigenvalues of the Dirichlet problem in a skewed \(\mathcal\Gamma\)-shaped waveguide. (Russian, English) Zbl 1313.78037 Zh. Vychisl. Mat. Mat. Fiz. 54, No. 5, 793- 814 (2014); translation in Comput. Math. Math. Phys. 54, No. 5, 811-830 (2014). MSC: 78A50 PDF BibTeX XML Cite \textit{S. A. Nazarov}, Zh. Vychisl. Mat. Mat. Fiz. 54, No. 5, 793- 814 (2014; Zbl 1313.78037); translation in Comput. Math. Math. Phys. 54, No. 5, 811--830 (2014) Full Text: DOI Link OpenURL
Chesnel, Lucas; Claeys, Xavier; Nazarov, Sergey A. A curious instability phenomenon for a rounded corner in presence of a negative material. (English) Zbl 1294.35153 Asymptotic Anal. 88, No. 1-2, 43-74 (2014). MSC: 35Q60 35C20 78A40 PDF BibTeX XML Cite \textit{L. Chesnel} et al., Asymptotic Anal. 88, No. 1--2, 43--74 (2014; Zbl 1294.35153) Full Text: DOI arXiv OpenURL
Nazarov, S. A. Enforced stability of a simple eigenvalue in the continuous spectrum of a waveguide. (English. Russian original) Zbl 1325.35120 Funct. Anal. Appl. 47, No. 3, 195-209 (2013); translation from Funkts. Anal. Prilozh. 47, No. 3, 37-53 (2013). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P05 47F05 35J05 78A50 PDF BibTeX XML Cite \textit{S. A. Nazarov}, Funct. Anal. Appl. 47, No. 3, 195--209 (2013; Zbl 1325.35120); translation from Funkts. Anal. Prilozh. 47, No. 3, 37--53 (2013) Full Text: DOI OpenURL
Nazarov, S. A. Asymptotics of the reflection coefficient at critical frequencies in a narrowing waveguide. (English) Zbl 1287.78009 Russ. J. Math. Phys. 19, No. 2, 216-233 (2012). Reviewer: Guy Jumarie (Montréal) MSC: 78A50 82D77 PDF BibTeX XML Cite \textit{S. A. Nazarov}, Russ. J. Math. Phys. 19, No. 2, 216--233 (2012; Zbl 1287.78009) Full Text: DOI OpenURL
Nazarov, S. A. Asymptotics of eigenfrequencies that arise in gaps caused by a perturbation of a periodic waveguide. (English. Russian summary) Zbl 1398.35039 Dokl. Math. 86, No. 3, 871-875 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 447, No. 4, 382-386 (2012). MSC: 35J25 35B25 35C20 35P05 78A35 PDF BibTeX XML Cite \textit{S. A. Nazarov}, Dokl. Math. 86, No. 3, 871--875 (2012; Zbl 1398.35039); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 447, No. 4, 382--386 (2012) Full Text: DOI OpenURL
Nazarov, S. A. Enforced stability of an eigenvalue in the continuous spectrum of a waveguide with an obstacle. (Russian, English) Zbl 1249.78029 Zh. Vychisl. Mat. Mat. Fiz. 52, No. 3, 521-538 (2012); translation in Comput. Math. Math. Phys. 52, No. 3, 448-464 (2012). MSC: 78A50 35P15 35J05 PDF BibTeX XML Cite \textit{S. A. Nazarov}, Zh. Vychisl. Mat. Mat. Fiz. 52, No. 3, 521--538 (2012; Zbl 1249.78029); translation in Comput. Math. Math. Phys. 52, No. 3, 448--464 (2012) Full Text: DOI OpenURL
Nazarov, S. A. Discrete spectrum of cranked, branching, and periodic waveguides. (English. Russian original) Zbl 1238.35075 St. Petersbg. Math. J. 23, No. 2, 351-379 (2012); translation from Algebra Anal. 23, No. 2, 206-247 (2011). MSC: 35P15 35J20 35J05 78A50 PDF BibTeX XML Cite \textit{S. A. Nazarov}, St. Petersbg. Math. J. 23, No. 2, 351--379 (2012; Zbl 1238.35075); translation from Algebra Anal. 23, No. 2, 206--247 (2011) Full Text: DOI OpenURL
Nazarov, S. A. Asymptotic formula for an eigenvalue of the Dirichlet problem in a cranked waveguide. (English. Russian original) Zbl 1254.35169 Vestn. St. Petersbg. Univ., Math. 44, No. 3, 190-196 (2011); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2011, No. 3, 29-35 (2011). MSC: 35P20 82D77 78A50 35J05 PDF BibTeX XML Cite \textit{S. A. Nazarov}, Vestn. St. Petersbg. Univ., Math. 44, No. 3, 190--196 (2011; Zbl 1254.35169); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2011, No. 3, 29--35 (2011) Full Text: DOI OpenURL
Nazarov, S. A. Perturbation of an eigenvalue in the continuous spectrum of a waveguide with an asymmetric obstacle. (English. Russian original) Zbl 1234.35165 Dokl. Math. 84, No. 2, 734-739 (2011); translation from Dokl. Akad. Nauk 440, No. 3, 317-322 (2011). Reviewer: Georg Hebermehl (Berlin) MSC: 35P20 78A50 PDF BibTeX XML Cite \textit{S. A. Nazarov}, Dokl. Math. 84, No. 2, 734--739 (2011; Zbl 1234.35165); translation from Dokl. Akad. Nauk 440, No. 3, 317--322 (2011) Full Text: DOI OpenURL
Nazarov, S. A. Eigenvalues of the Laplace operator with the Neumann conditions at regular perturbed walls of a waveguide. (English. Russian original) Zbl 1219.35149 J. Math. Sci., New York 172, No. 4, 555-588 (2011); translation from Probl. Mat. Anal. 53, 113-140 (2010). MSC: 35P05 35J25 78A50 PDF BibTeX XML Cite \textit{S. A. Nazarov}, J. Math. Sci., New York 172, No. 4, 555--588 (2011; Zbl 1219.35149); translation from Probl. Mat. Anal. 53, 113--140 (2010) Full Text: DOI OpenURL
Nazarov, S. A.; Shanin, A. V. Calculation of characteristics of trapped modes in \(T\)-shaped waveguides. (Russian, English) Zbl 1224.78032 Zh. Vychisl. Mat. Mat. Fiz. 51, No. 1, 104-119 (2011); translation in Comput. Math. Math. Phys. 51, No. 1, 96-110 (2011). MSC: 78A50 PDF BibTeX XML Cite \textit{S. A. Nazarov} and \textit{A. V. Shanin}, Zh. Vychisl. Mat. Mat. Fiz. 51, No. 1, 104--119 (2011; Zbl 1224.78032); translation in Comput. Math. Math. Phys. 51, No. 1, 96--110 (2011) Full Text: DOI OpenURL
Cardone, G.; Nazarov, S. A.; Sokolowski, J. Asymptotic analysis, polarization matrices, and topological derivatives for piezoelectric materials with small voids. (English) Zbl 1204.35158 SIAM J. Control Optim. 48, No. 6, 3925-3961 (2010). MSC: 35Q60 49J20 49Q10 78M50 78A25 35A16 PDF BibTeX XML Cite \textit{G. Cardone} et al., SIAM J. Control Optim. 48, No. 6, 3925--3961 (2010; Zbl 1204.35158) Full Text: DOI arXiv OpenURL
Nazarov, S. A. An example of multiple gaps in the spectrum of a periodic waveguide. (English. Russian original) Zbl 1193.35038 Sb. Math. 201, No. 4, 569-594 (2010); translation from Mat. Sb. 201, No. 4, 99-124 (2010). MSC: 35J57 35J20 35P15 78A50 PDF BibTeX XML Cite \textit{S. A. Nazarov}, Sb. Math. 201, No. 4, 569--594 (2010; Zbl 1193.35038); translation from Mat. Sb. 201, No. 4, 99--124 (2010) Full Text: DOI OpenURL
Nazarov, S. A. Gap detection in the spectrum of an elastic periodic waveguide with a free surface. (Russian) Zbl 1187.78042 Zh. Vychisl. Mat. Mat. Fiz. 49, No. 2, 332-343 (2009). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 78A50 34Lxx 34B24 74B05 74J15 34L16 PDF BibTeX XML Cite \textit{S. A. Nazarov}, Zh. Vychisl. Mat. Mat. Fiz. 49, No. 2, 332--343 (2009; Zbl 1187.78042) OpenURL
Nazarov, S. A. A criterion for the existence of decaying solutions in the problem on a resonator with a cylindrical waveguide. (English. Russian original) Zbl 1162.35342 Funct. Anal. Appl. 40, No. 2, 97-107 (2006); translation from Funkts. Anal. Prilozh. 40, No. 2, 20-32 (2006). MSC: 35J05 78A50 PDF BibTeX XML Cite \textit{S. A. Nazarov}, Funct. Anal. Appl. 40, No. 2, 97--107 (2006; Zbl 1162.35342); translation from Funkts. Anal. Prilozh. 40, No. 2, 20--32 (2006) Full Text: DOI OpenURL
Kamotskii, I. V.; Nazarov, S. A. Exponentially decreasing solutions of diffraction problems on a rigid periodic boundary. (English. Russian original) Zbl 1156.78309 Math. Notes 73, No. 1, 129-131 (2003); translation from Mat. Zametki 73, No. 1, 138-140 (2003). MSC: 78A45 35B10 35J05 35P25 PDF BibTeX XML Cite \textit{I. V. Kamotskii} and \textit{S. A. Nazarov}, Math. Notes 73, No. 1, 129--131 (2003; Zbl 1156.78309); translation from Mat. Zametki 73, No. 1, 138--140 (2003) Full Text: DOI OpenURL
Nazarov, Sergey A.; Plamenevsky, Boris A. Elliptic problems in domains with piecewise smooth boundaries. (English) Zbl 0806.35001 De Gruyter Expositions in Mathematics. 13. Berlin: de Gruyter. vii, 525 p. (1994). Reviewer: A. Movchan (Bath) MSC: 35-02 35J25 35C20 74R99 35A20 35B40 35Jxx 78A25 PDF BibTeX XML Cite \textit{S. A. Nazarov} and \textit{B. A. Plamenevsky}, Elliptic problems in domains with piecewise smooth boundaries. Berlin: de Gruyter (1994; Zbl 0806.35001) OpenURL