Nazarov, S. A. Parasitic eigenvalues of spectral problems for the Laplacian with third-type boundary conditions. (English. Russian original) Zbl 07752258 Comput. Math. Math. Phys. 63, No. 7, 1237-1253 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 7, 1128-1144 (2023). Reviewer: Denis Borisov (Ufa) MSC: 35P15 35B25 35C20 35J25 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Comput. Math. Math. Phys. 63, No. 7, 1237--1253 (2023; Zbl 07752258); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 7, 1128--1144 (2023) Full Text: DOI
Nazarov, Sergei A. “Far-field interaction” of concentrated masses in two-dimensional Neumann and Dirichlet problems. (English. Russian original) Zbl 07733650 Izv. Math. 87, No. 1, 61-112 (2023); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 1, 65-118 (2023). MSC: 74H45 49R50 35P10 35P20 74G70 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Izv. Math. 87, No. 1, 61--112 (2023; Zbl 07733650); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 1, 65--118 (2023) Full Text: DOI MNR
Nazarov, S. A. On the one-dimensional asymptotic models of thin Neumann lattices. (English. Russian original) Zbl 1511.35249 Sib. Math. J. 64, No. 2, 356-373 (2023); translation from Sib. Mat. Zh. 64, No. 2, 362-382 (2023). MSC: 35P20 35J25 35R02 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Sib. Math. J. 64, No. 2, 356--373 (2023; Zbl 1511.35249); translation from Sib. Mat. Zh. 64, No. 2, 362--382 (2023) Full Text: DOI
Nazarov, S. A.; Taskinen, J. Asymptotics of the spectrum of the mixed boundary value problem for the Laplace operator in a thin spindle-shaped domain. (English. Russian original) Zbl 1485.35310 St. Petersbg. Math. J. 33, No. 2, 283-325 (2022); translation from Algebra Anal. 33, No. 2, 136-196 (2021). MSC: 35P20 35B25 35J25 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{J. Taskinen}, St. Petersbg. Math. J. 33, No. 2, 283--325 (2022; Zbl 1485.35310); translation from Algebra Anal. 33, No. 2, 136--196 (2021) Full Text: DOI
Piat, V. Chiadò; D’Elia, L.; Nazarov, S. A. The stiff Neumann problem: asymptotic specialty and “kissing” domains. (English) Zbl 1507.35127 Asymptotic Anal. 128, No. 1, 113-148 (2022). MSC: 35P20 35B25 35J35 PDFBibTeX XMLCite \textit{V. C. Piat} et al., Asymptotic Anal. 128, No. 1, 113--148 (2022; Zbl 1507.35127) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
Chesnel, Lucas; Nazarov, Sergei A.; Taskinen, Jari Surface waves in a channel with thin tunnels and wells at the bottom: non-reflecting underwater topography. (English) Zbl 1451.35128 Asymptotic Anal. 118, No. 1-2, 81-122 (2020). MSC: 35Q35 76B15 35C20 35B40 PDFBibTeX XMLCite \textit{L. Chesnel} et al., Asymptotic Anal. 118, No. 1--2, 81--122 (2020; Zbl 1451.35128) Full Text: DOI arXiv
Bakharev, F. L.; Nazarov, S. A. The discrete spectrum of an infinite Kirchhoff plate in the form of a locally perturbed strip. (English. Russian original) Zbl 1443.35106 Sib. Math. J. 61, No. 2, 233-247 (2020); translation from Sib. Mat. Zh. 61, No. 2, 297-313 (2020). MSC: 35P05 35Q74 74K20 PDFBibTeX XMLCite \textit{F. L. Bakharev} and \textit{S. A. Nazarov}, Sib. Math. J. 61, No. 2, 233--247 (2020; Zbl 1443.35106); translation from Sib. Mat. Zh. 61, No. 2, 297--313 (2020) Full Text: DOI
Nazarov, S. A. Asymptotics of eigenvalues in spectral gaps of periodic waveguides with small singular perturbations. (English. Russian original) Zbl 1437.35518 J. Math. Sci., New York 243, No. 5, 746-773 (2019); translation from Zap. Nauchn. Semin. POMI 471, 168-210 (2018). Reviewer: Denis Borisov (Ufa) MSC: 35P20 PDFBibTeX XMLCite \textit{S. A. Nazarov}, J. Math. Sci., New York 243, No. 5, 746--773 (2019; Zbl 1437.35518); translation from Zap. Nauchn. Semin. POMI 471, 168--210 (2018) Full Text: DOI
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 PDFBibTeX XMLCite \textit{G. Leugering} et al., Asymptotic Anal. 111, No. 2, 69--111 (2019; Zbl 1420.35396) Full Text: DOI
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 PDFBibTeX XMLCite \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
Nazarov, S. A. Asymptotics of the deflection of a cruciform junction of two narrow Kirchhoff plates. (English. Russian original) Zbl 1402.35075 Comput. Math. Math. Phys. 58, No. 7, 1150-1171 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 7 (2018). MSC: 35C20 35B25 74K20 35J40 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Comput. Math. Math. Phys. 58, No. 7, 1150--1171 (2018; Zbl 1402.35075); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 7 (2018) Full Text: DOI
Bunoiu, Renata; Nazarov, Sergey A. Scalar problems in junctions of rods and a plate. II. Self-adjoint extensions and simulation models. (English) Zbl 1428.35038 ESAIM, Math. Model. Numer. Anal. 52, No. 2, 481-508 (2018). Reviewer: Igor Bock (Bratislava) MSC: 35B40 35C20 74K30 74K10 35P20 PDFBibTeX XMLCite \textit{R. Bunoiu} and \textit{S. A. Nazarov}, ESAIM, Math. Model. Numer. Anal. 52, No. 2, 481--508 (2018; Zbl 1428.35038) Full Text: DOI arXiv
Kozlov, V. A.; Nazarov, S. A. Waves and radiation conditions in a cuspidal sharpening of elastic bodies. (English) Zbl 1412.35324 J. Elasticity 132, No. 1, 103-140 (2018). Reviewer: Adina Chirila (Brasov) MSC: 35Q74 35B40 74J20 35C20 35C07 35P05 PDFBibTeX XMLCite \textit{V. A. Kozlov} and \textit{S. A. Nazarov}, J. Elasticity 132, No. 1, 103--140 (2018; Zbl 1412.35324) Full Text: DOI
Bakharev, F. L.; Matveenko, S. G.; Nazarov, S. A. Rectangular lattices of cylindrical quantum waveguides. I: Spectral problems on a finite cross. (English. Russian original) Zbl 1390.81186 St. Petersbg. Math. J. 29, No. 3, 423-437 (2018); translation from Algebra Anal. 29, No. 3, 1-22 (2017). MSC: 81Q37 PDFBibTeX XMLCite \textit{F. L. Bakharev} et al., St. Petersbg. Math. J. 29, No. 3, 423--437 (2018; Zbl 1390.81186); translation from Algebra Anal. 29, No. 3, 1--22 (2017) Full Text: DOI
Nazarov, Sergei A.; Pérez, M. Eugenia On multi-scale asymptotic structure of eigenfunctions in a boundary value problem with concentrated masses near the boundary. (English) Zbl 1382.35025 Rev. Mat. Complut. 31, No. 1, 1-62 (2018). MSC: 35B27 35B25 35P05 35B40 47A75 74H45 35J25 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{M. E. Pérez}, Rev. Mat. Complut. 31, No. 1, 1--62 (2018; Zbl 1382.35025) Full Text: DOI Link
Bakharev, F. L.; Cardone, G.; Nazarov, S. A.; Taskinen, J. Effects of Rayleigh waves on the essential spectrum in perturbed doubly periodic elliptic problems. (English) Zbl 1386.35280 Integral Equations Oper. Theory 88, No. 3, 373-386 (2017). MSC: 35P05 47A75 PDFBibTeX XMLCite \textit{F. L. Bakharev} et al., Integral Equations Oper. Theory 88, No. 3, 373--386 (2017; Zbl 1386.35280) Full Text: DOI arXiv Link
Bakharev, Fedor; Matveenko, Sergey; Nazarov, Sergey Examples of plentiful discrete spectra in infinite spatial cruciform quantum waveguides. (English) Zbl 1368.65225 Z. Anal. Anwend. 36, No. 3, 329-341 (2017). MSC: 65N25 47F05 47A75 PDFBibTeX XMLCite \textit{F. Bakharev} et al., Z. Anal. Anwend. 36, No. 3, 329--341 (2017; Zbl 1368.65225) Full Text: DOI arXiv
Nazarov, S. A. Open waveguides in a thin Dirichlet ladder. I: Asymptotic structure of the spectrum. (English. Russian original) Zbl 1367.81065 Comput. Math. Math. Phys. 57, No. 1, 156-174 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 1, 144-162 (2017). MSC: 81Q37 82D77 35J05 35P05 81Q10 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Comput. Math. Math. Phys. 57, No. 1, 156--174 (2017; Zbl 1367.81065); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 1, 144--162 (2017) Full Text: DOI
Nazarov, S. A. Almost standing waves in a periodic waveguide with resonator, and near-threshold eigenvalues. (English. Russian original) Zbl 1361.81059 St. Petersbg. Math. J. 28, No. 3, 377-410 (2017); translation from Algebra Anal. 28 No. 3, 111-160 (2016). MSC: 81Q37 81Q10 35J05 81U20 PDFBibTeX XMLCite \textit{S. A. Nazarov}, St. Petersbg. Math. J. 28, No. 3, 377--410 (2017; Zbl 1361.81059); translation from Algebra Anal. 28 No. 3, 111--160 (2016) Full Text: DOI
Nazarov, S. A. Discrete spectrum of cranked quantum and elastic waveguides. (English. Russian original) Zbl 1458.35288 Comput. Math. Math. Phys. 56, No. 5, 864-880 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 5, 879-895 (2016). MSC: 35P15 35J25 35Q74 81Q37 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Comput. Math. Math. Phys. 56, No. 5, 864--880 (2016; Zbl 1458.35288); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 5, 879--895 (2016) Full Text: DOI
Nazarov, S. A.; Pérez, E.; Taskinen, J. Localization effect for Dirichlet eigenfunctions in thin non-smooth domains. (English) Zbl 1338.35318 Trans. Am. Math. Soc. 368, No. 7, 4787-4829 (2016). Reviewer: Sönke Hansen (Paderborn) MSC: 35P20 35B40 35J05 PDFBibTeX XMLCite \textit{S. A. Nazarov} et al., Trans. Am. Math. Soc. 368, No. 7, 4787--4829 (2016; Zbl 1338.35318) Full Text: DOI
Nazarov, S. A. Asymptotics of the eigenvalues of boundary value problems for the Laplace operator in a three-dimensional domain with a thin closed tube. (English. Russian original) Zbl 1336.35267 Trans. Mosc. Math. Soc. 2015, 1-53 (2015); translation from Tr. Mosk. Mat. O.-va 76, No. 1, 1-66 (2015). Reviewer: Petru A. Cojuhari (Kraków) MSC: 35P20 35J25 35B25 35B45 35S05 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Trans. Mosc. Math. Soc. 2015, 1--53 (2015; Zbl 1336.35267); translation from Tr. Mosk. Mat. O.-va 76, No. 1, 1--66 (2015) Full Text: DOI
Nazarov, S. A. Eigenmodes of a thin elastic layer between periodic rigid profiles. (English. Russian original) Zbl 1336.74028 Comput. Math. Math. Phys. 55, No. 10, 1684-1697 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 10, 1713-1726 (2015). MSC: 74H45 35Q74 35B10 35B25 35B27 35C20 74H10 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Comput. Math. Math. Phys. 55, No. 10, 1684--1697 (2015; Zbl 1336.74028); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 10, 1713--1726 (2015) Full Text: DOI
Chesnel, Lucas; Claeys, Xavier; Nazarov, Sergei A. Spectrum of a diffusion operator with coefficient changing sign over a small inclusion. (English) Zbl 1328.35132 Z. Angew. Math. Phys. 66, No. 5, 2173-2196 (2015). MSC: 35P20 35P15 35Q60 65N25 PDFBibTeX XMLCite \textit{L. Chesnel} et al., Z. Angew. Math. Phys. 66, No. 5, 2173--2196 (2015; Zbl 1328.35132) Full Text: DOI arXiv
Bakharev, F. L.; Nazarov, St. A. Gaps in the spectrum of a waveguide composed of domains with different limiting dimensions. (English. Russian original) Zbl 1327.35262 Sib. Math. J. 56, No. 4, 575-592 (2015); translation from Sib. Mat. Zh. 56, No. 4, 732-751 (2015). MSC: 35P05 35J05 PDFBibTeX XMLCite \textit{F. L. Bakharev} and \textit{St. A. Nazarov}, Sib. Math. J. 56, No. 4, 575--592 (2015; Zbl 1327.35262); translation from Sib. Mat. Zh. 56, No. 4, 732--751 (2015) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S. A. Nazarov} et al., J. Math. Phys. 56, No. 2, 021505, 24 p. (2015; Zbl 1323.35117) Full Text: DOI
Nazarov, S. A.; Taskinen, J. Properties of the spectrum in the John problem on a freely floating submerged body in a finite basin. (English. Russian original) Zbl 1294.35110 Differ. Equ. 49, No. 12, 1544-1559 (2013); translation from Differ. Uravn. 49, No. 12, 1591-1606 (2013). MSC: 35Q35 76B15 35P20 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{J. Taskinen}, Differ. Equ. 49, No. 12, 1544--1559 (2013; Zbl 1294.35110); translation from Differ. Uravn. 49, No. 12, 1591--1606 (2013) Full Text: DOI
Bakharev, F. L.; Nazarov, S. A.; Ruotsalainen, K. M. A gap in the spectrum of the Neumann-Laplacian on a periodic waveguide. (English) Zbl 1302.35266 Appl. Anal. 92, No. 9, 1889-1915 (2013). MSC: 35P05 34E05 34E10 76M45 PDFBibTeX XMLCite \textit{F. L. Bakharev} et al., Appl. Anal. 92, No. 9, 1889--1915 (2013; Zbl 1302.35266) Full Text: DOI arXiv
Nazarov, S. A. The localization for eigenfunctions of the Dirichlet problem in thin polyhedra near the vertices. (English. Russian original) Zbl 1307.35178 Sib. Math. J. 54, No. 3, 517-532 (2013); translation from Sib. Mat. Zh. 54, No. 3, 655-672 (2013). MSC: 35P15 35P20 35J25 35P05 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Sib. Math. J. 54, No. 3, 517--532 (2013; Zbl 1307.35178); translation from Sib. Mat. Zh. 54, No. 3, 655--672 (2013) Full Text: DOI
Cardone, Giuseppe; Nazarov, Sergei A.; Ruotsalainen, Keijo Bound states of a converging quantum waveguide. (English) Zbl 1333.35131 ESAIM, Math. Model. Numer. Anal. 47, No. 1, 305-315 (2013). MSC: 35P15 47A75 49R05 PDFBibTeX XMLCite \textit{G. Cardone} et al., ESAIM, Math. Model. Numer. Anal. 47, No. 1, 305--315 (2013; Zbl 1333.35131) Full Text: DOI
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 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Russ. J. Math. Phys. 19, No. 2, 216--233 (2012; Zbl 1287.78009) Full Text: DOI
Nazarov, S. A. On the asymptotics and stability of the point spectrum of a waveguide with thin shielding obstacle. (English. Russian original) Zbl 1304.35457 J. Math. Sci., New York 178, No. 3, 292-312 (2011); translation from Zap. Nauchn. Semin. POMI 385, 98-134 (2010). MSC: 35P20 PDFBibTeX XMLCite \textit{S. A. Nazarov}, J. Math. Sci., New York 178, No. 3, 292--312 (2011; Zbl 1304.35457); translation from Zap. Nauchn. Semin. POMI 385, 98--134 (2010) Full Text: DOI
Izotova, O. V.; Nazarov, S. A.; Sweers, G. Asymptotics of solutions and modeling of the von Karman equations in a singularly perturbed domain. (English. Russian original) Zbl 1294.35162 J. Math. Sci., New York 173, No. 5, 571-608 (2011); translation from Probl. Mat. Anal. 54, 113-143 (2011). Reviewer: Luisa Fattorusso (Raggio Calabria) MSC: 35Q74 35B40 74K20 PDFBibTeX XMLCite \textit{O. V. Izotova} et al., J. Math. Sci., New York 173, No. 5, 571--608 (2011; Zbl 1294.35162); translation from Probl. Mat. Anal. 54, 113--143 (2011) Full Text: DOI
Nazarov, S. A.; Taskinen, J. On the spectrum of the Robin problem in a domain with a peak. (English. Russian original) Zbl 1271.35056 Funct. Anal. Appl. 45, No. 1, 77-79 (2011); translation from Funkts. Anal. Prilozh. 45, No. 1, 93-96 (2011). MSC: 35P05 35J25 47A10 47F05 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{J. Taskinen}, Funct. Anal. Appl. 45, No. 1, 77--79 (2011; Zbl 1271.35056); translation from Funkts. Anal. Prilozh. 45, No. 1, 93--96 (2011) Full Text: DOI
Cardone, G.; Nazarov, S. A.; Piatnitski, A. L. On the rate of convergence for perforated plates with a small interior Dirichlet zone. (English) Zbl 1264.74189 Z. Angew. Math. Phys. 62, No. 3, 439-468 (2011). MSC: 74Q05 74K20 35B27 PDFBibTeX XMLCite \textit{G. Cardone} et al., Z. Angew. Math. Phys. 62, No. 3, 439--468 (2011; Zbl 1264.74189) Full Text: DOI
Nazarov, S. A.; Sweers, G. H.; Slutskij, A. S. Homogenization of a thin plate reinforced with periodic families of rigid rods. (English. Russian original) Zbl 1415.74044 Sb. Math. 202, No. 8, 1127-1168 (2011); translation from Mat. Sb. 202, No. 8, 41-80 (2011). MSC: 74Q05 74K20 74E30 35B27 PDFBibTeX XMLCite \textit{S. A. Nazarov} et al., Sb. Math. 202, No. 8, 1127--1168 (2011; Zbl 1415.74044); translation from Mat. Sb. 202, No. 8, 41--80 (2011) Full Text: DOI
Nazarov, S. A.; Slutskij, A. S. The buffer boundary layer in a mixed boundary value problem with contrasting coefficients. (Russian) Zbl 1249.35042 Sib. Zh. Ind. Mat. 14, No. 4, 63-75 (2011). MSC: 35C20 35B27 35K20 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{A. S. Slutskij}, Sib. Zh. Ind. Mat. 14, No. 4, 63--75 (2011; Zbl 1249.35042)
Nazarov, S. A. Trapped modes in a cylindrical elastic waveguide with a damping gasket. (Russian, English) Zbl 1164.74458 Zh. Vychisl. Mat. Mat. Fiz. 48, No. 5, 863-881 (2008); translation in Comput. Math. Math. Phys. 48, No. 5, 816-833 (2008). MSC: 74K10 74J05 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Zh. Vychisl. Mat. Mat. Fiz. 48, No. 5, 863--881 (2008; Zbl 1164.74458); translation in Comput. Math. Math. Phys. 48, No. 5, 816--833 (2008) Full Text: DOI
Videman, Yu. G.; Nazarov, S. A. An improved nonlinear Reynolds equation for a thin flow of a viscous incompressible fluid. (English. Russian original) Zbl 1152.76013 Vestn. St. Petersbg. Univ., Math. 41, No. 2, 171-175 (2008); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2008, No. 2, 97-102 (2008). MSC: 76A20 76D05 76M45 PDFBibTeX XMLCite \textit{Yu. G. Videman} and \textit{S. A. Nazarov}, Vestn. St. Petersbg. Univ., Math. 41, No. 2, 171--175 (2008; Zbl 1152.76013); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2008, No. 2, 97--102 (2008) Full Text: DOI
Nazarov, S. A. Dirichlet problem in an angular domain with rapidly oscillating boundary: Modeling of the problem and asymptotics of the solution. (English. Russian original) Zbl 1156.35012 St. Petersbg. Math. J. 19, No. 2, 297-326 (2008); translation from Algebra Anal. 19, No. 2, 183-225 (2007). Reviewer: Aleksander Pankov (Baltimore) MSC: 35B40 35J25 PDFBibTeX XMLCite \textit{S. A. Nazarov}, St. Petersbg. Math. J. 19, No. 2, 297--326 (2008; Zbl 1156.35012); translation from Algebra Anal. 19, No. 2, 183--225 (2007) Full Text: DOI
Nazarov, S. A. Asymptotics of solutions and modelling the problems of elasticity theory in domains with rapidly oscillating boundaries. (English. Russian original) Zbl 1159.35071 Izv. Math. 72, No. 3, 509-564 (2008); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 72, No. 3, 103-158 (2008). Reviewer: Georg V. Jaiani (Tbilisi) MSC: 35Q72 74B05 35B40 35C20 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Izv. Math. 72, No. 3, 509--564 (2008; Zbl 1159.35071); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 72, No. 3, 103--158 (2008) Full Text: DOI
Cardone, Giuseppe; Nazarov, Sergey A.; Sokolowski, Jan; Taskinen, Jari Asymptotics of Neumann harmonics when a cavity is close to the exterior boundary of the domain. (English) Zbl 1133.35038 C. R., Méc., Acad. Sci. Paris 335, No. 12, 763-767 (2007). MSC: 35J25 35B40 35B25 PDFBibTeX XMLCite \textit{G. Cardone} et al., C. R., Méc., Acad. Sci. Paris 335, No. 12, 763--767 (2007; Zbl 1133.35038) Full Text: DOI
Nazarov, S. A. Quasistatic evolution model for an interphase surface inside a strained solid body. (Russian) Zbl 1126.74397 Prikl. Mat. Mekh. 70, No. 3, 458-472 (2006); translation in J. Appl. Math. Mech. 70, No. 3, 416-429 (2006). Reviewer: Ju. N. Podilchuk (Kyïv) MSC: 74F20 74A60 74H55 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Prikl. Mat. Mekh. 70, No. 3, 458--472 (2006; Zbl 1126.74397); translation in J. Appl. Math. Mech. 70, No. 3, 416--429 (2006)
Nazarov, S. A. Estimates for second order derivatives of eigenvectors in thin anisotropic plates with variable thickness. (Russian, English) Zbl 1087.35090 J. Math. Sci., New York 132, No. 1, 91-102 (2006); translation from Zap. Nauchn. Semin. POMI 308, 161-181, 254-255 (2004). Reviewer: Petar Popivanov (Sofia) MSC: 35Q72 35B45 35P20 74G99 74K20 PDFBibTeX XMLCite \textit{S. A. Nazarov}, J. Math. Sci., New York 132, No. 1, 161--181, 254--255 (2004; Zbl 1087.35090); translation from Zap. Nauchn. Semin. POMI 308, 161--181, 254--255 (2004) Full Text: DOI EuDML
Nazarov, Sergueí; Videman, Juha H. Reynolds type equation for a thin flow under intensive transverse percolation. (English) Zbl 1061.35077 Math. Nachr. 269-270, 189-209 (2004). Reviewer: A. Cichocka (Katowice) MSC: 35Q30 76D08 76D10 76M45 76D05 PDFBibTeX XMLCite \textit{S. Nazarov} and \textit{J. H. Videman}, Math. Nachr. 269--270, 189--209 (2004; Zbl 1061.35077) Full Text: DOI
Nazarov, Serguei A.; Sokolowski, Jan Self-adjoint extensions of differential operators in application to shape optimization. (English) Zbl 1177.74315 C. R., Méc., Acad. Sci. Paris 331, No. 10, 667-672 (2003). MSC: 74P99 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{J. Sokolowski}, C. R., Méc., Acad. Sci. Paris 331, No. 10, 667--672 (2003; Zbl 1177.74315) Full Text: DOI
Nazarov, S. A. On the asymptotics of the spectrum of a thin plate problem of elasticity. (Russian, English) Zbl 1150.74367 Sib. Mat. Zh. 41, No. 4, 895-912 (2000); translation in Sib. Math. J. 41, No. 4, 744-759 (2000). Reviewer: V. Grebenev (Novosibirsk) MSC: 74B20 74K20 35J55 35B34 35C20 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Sib. Mat. Zh. 41, No. 4, 895--912 (2000; Zbl 1150.74367); translation in Sib. Math. J. 41, No. 4, 744--759 (2000) Full Text: EuDML
Nazarov, S. A. Asymptotic analysis of an arbitrarily anisotropic plate of variable thickness (shallow shell). (English. Russian original) Zbl 0988.74042 Sb. Math. 191, No. 7, 1075-1106 (2000); translation from Mat. Sb. 191, No. 7, 129-159 (2000). MSC: 74K25 74G10 74E10 35Q72 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Sb. Math. 191, No. 7, 1075--1106 (2000; Zbl 0988.74042); translation from Mat. Sb. 191, No. 7, 129--159 (2000) Full Text: DOI
Nazarov, S. A. The Navier-Stokes problem in thin or long tubes with periodically varying cross-sections. (English) Zbl 0991.76013 ZAMM, Z. Angew. Math. Mech. 80, No. 9, 591-612 (2000). MSC: 76D05 76D03 76M45 76S05 35Q30 PDFBibTeX XMLCite \textit{S. A. Nazarov}, ZAMM, Z. Angew. Math. Mech. 80, No. 9, 591--612 (2000; Zbl 0991.76013) Full Text: DOI
Nazarov, S. A.; Pileckas, K. I. Asymptotics of solutions to the Navier-Stokes equations in the exterior of a bounded body. (English. Russian original) Zbl 0961.35103 Dokl. Math. 60, No. 1, 133-135 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 367, No. 4, 461-463 (1999). Reviewer: Vladimir Mityushev (Paris) MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{K. I. Pileckas}, Dokl. Math. 60, No. 1, 461--463 (1999; Zbl 0961.35103); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 367, No. 4, 461--463 (1999)
Nazarov, S. A.; Slutskij, A. S. The Saint-Venant principle for paraboloidal elastic bodies. (English. Russian original) Zbl 0944.35017 J. Math. Sci., New York 98, No. 6, 717-752 (2000); translation from Probl. Mat. Anal. 18, 133-180 (1998). Reviewer: V.Grebenev (Novosibirsk) MSC: 35J25 74B20 74G70 35B40 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{A. S. Slutskij}, Probl. Mat. Anal. 18, 133--180 (1998; Zbl 0944.35017); translation from Probl. Mat. Anal. 18, 133--180 (1998)
Hinder, Rainer; Nazarov, Sergueï A. Asymptotics of the circulation around a three-dimensional thin wing. (English) Zbl 0942.76030 Asymptotic Anal. 18, No. 3-4, 279-305 (1998). Reviewer: M.L.Mehra (Bornheim) MSC: 76G25 76M45 76B10 PDFBibTeX XMLCite \textit{R. Hinder} and \textit{S. A. Nazarov}, Asymptotic Anal. 18, No. 3--4, 279--305 (1998; Zbl 0942.76030)
Nazarov, S. A.; Specovius-Neugebauer, M. Approximation of unbounded domains by bounded domains. Boundary value problems for the Lamé operator. (English. Russian original) Zbl 0888.35006 St. Petersbg. Math. J. 8, No. 5, 879-912 (1997); translation from Algebra Anal. 8, No. 5, 239-268 (1996). Reviewer: A.Martynyuk (Kyïv) MSC: 35A35 35J25 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{M. Specovius-Neugebauer}, St. Petersbg. Math. J. 8, No. 5, 229--268 (1996; Zbl 0888.35006); translation from Algebra Anal. 8, No. 5, 239--268 (1996)
Nazarov, Serguei A. On the two-dimensional aperture problem for Navier-Stokes equations. (English. Abridged French version) Zbl 0860.35096 C. R. Acad. Sci., Paris, Sér. I 323, No. 6, 699-703 (1996). MSC: 35Q30 35B40 76D05 PDFBibTeX XMLCite \textit{S. A. Nazarov}, C. R. Acad. Sci., Paris, Sér. I 323, No. 6, 699--703 (1996; Zbl 0860.35096)
Nazarov, S. A. On the flow of water under a still stone. (English. Russian original) Zbl 0863.35078 Sb. Math. 186, No. 11, 1621-1658 (1995); translation from Mat. Sb. 186, No. 11, 75-110 (1995). MSC: 35Q30 35B40 76D05 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Sb. Math. 186, No. 11, 1621--1658 (1995; Zbl 0863.35078); translation from Mat. Sb. 186, No. 11, 75--110 (1995) Full Text: DOI
Mel’nik, T. A.; Nazarov, S. A. Asymptotics of Neumann problem eigenvalues in a “dense comb” type domain. (English. Russian original) Zbl 0879.35027 Dokl. Math. 51, No. 3, 326-328 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 342, No. 1, 23-25 (1995). MSC: 35B40 35P20 35J25 PDFBibTeX XMLCite \textit{T. A. Mel'nik} and \textit{S. A. Nazarov}, Dokl. Math. 51, No. 3, 326--328 (1995; Zbl 0879.35027); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 342, No. 1, 23--25 (1995)
Zorin, I. S.; Nazarov, S. A. Asymptotics of the energy integrals for problems with small parameter at higher derivatives. (English. Russian original) Zbl 0833.35009 Russ. Math. 37, No. 1, 10-15 (1993); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1993, No. 1, 12-16 (1993). MSC: 35B25 35B40 35J40 PDFBibTeX XMLCite \textit{I. S. Zorin} and \textit{S. A. Nazarov}, Russ. Math. 37, No. 1, 10--15 (1993; Zbl 0833.35009); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1993, No. 1, 12--16 (1993)
Mel’nik, T. A.; Nazarov, S. A. The asymptotic structure of the spectrum in the problem of harmonic oscillations of a hub with heavy spokes. (English. Russian original) Zbl 0827.35093 Russ. Acad. Sci., Dokl., Math. 48, No. 3, 428-432 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 333, No. 1, 13-15 (1993). MSC: 35P20 35C20 35J25 35B25 PDFBibTeX XMLCite \textit{T. A. Mel'nik} and \textit{S. A. Nazarov}, Russ. Acad. Sci., Dokl., Math. 48, No. 3, 1 (1993; Zbl 0827.35093); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 333, No. 1, 13--15 (1993)
Nazarov, S. A. New series of asymptotics of eigenvalues of the Sturm-Liouville problem with rapidly oscillating coefficients. (English. Russian original) Zbl 0807.34093 Math. Notes 52, No. 5, 1134-1136 (1992); translation from Mat. Zametki 52, No. 5, 83-87 (1992). Reviewer: P.Zabreiko (Minsk) MSC: 34L20 34B24 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Math. Notes 52, No. 5, 1 (1992; Zbl 0807.34093); translation from Mat. Zametki 52, No. 5, 83--87 (1992) Full Text: DOI
Nazarov, S. A.; Plamenevskij, B. A. Elliptic problems with radiation conditions on the edges of the boundary. (Russian) Zbl 0779.35036 Mat. Sb. 183, No. 10, 13-44 (1992). Reviewer: O.Titow (Berlin) MSC: 35J40 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{B. A. Plamenevskij}, Mat. Sb. 183, No. 10, 13--44 (1992; Zbl 0779.35036)
Nazarov, S. A.; Plamenevskij, B. A. Elliptic problems with radiation conditions on edges of the boundary. (English. Russian original) Zbl 0789.35048 Russ. Acad. Sci., Sb., Math. 77, No. 1, 149-176 (1994); translation from Mat. Sb. 183, No. 10, 13-44 (1992). MSC: 35J40 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{B. A. Plamenevskij}, Russ. Acad. Sci., Sb., Math. 77, No. 1, 149--176 (1992; Zbl 0789.35048); translation from Mat. Sb. 183, No. 10, 13--44 (1992) Full Text: DOI
Nazarov, S. A. Asymptotic behaviour of solutions of the Signorini problem without friction or with small friction. (Russian) Zbl 0899.73082 Probl. Mat. Anal. 12, 82-110 (1992). MSC: 74B99 74A55 74M15 35Q72 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Probl. Mat. Anal. 12, 82--110 (1992; Zbl 0899.73082)
Nazarov, Sergey A. Asymptotics of the Stokes system solutions at a surfaces contact point. (English) Zbl 0713.76032 C. R. Acad. Sci., Paris, Sér. I 312, No. 1, 207-211 (1991). MSC: 76D07 35Q30 PDFBibTeX XMLCite \textit{S. A. Nazarov}, C. R. Acad. Sci., Paris, Sér. I 312, No. 1, 207--211 (1991; Zbl 0713.76032)
Movchan, A. B.; Morozov, N. F.; Nazarov, S. A. Three-dimensional crack with gradually converging sides. (English. Russian original) Zbl 0711.73187 Leningr. Univ. Mech. Bull. 1989, No. 3, 30-33 (1989); translation from Vestn. Leningr. Univ., Ser. I 1989, No. 3, 60-62 (1989). MSC: 74R99 74G70 PDFBibTeX XMLCite \textit{A. B. Movchan} et al., Leningr. Univ. Mech. Bull. 1989, No. 3, 30--33 (1989; Zbl 0711.73187); translation from Vestn. Leningr. Univ., Ser. I 1989, No. 3, 60--62 (1989)
Maz’ya, V. G.; Nazarov, S. A. The asymptotic behavior of energy integrals under small perturbations of the boundary near corner points and conical points. (English. Russian original) Zbl 0699.35072 Trans. Mosc. Math. Soc. 1988, 77-127 (1988); translation from Tr. Mosk. Mat. O.-va 50, 79-129 (1987). MSC: 35J55 35B20 35B40 35B65 74R05 PDFBibTeX XMLCite \textit{V. G. Maz'ya} and \textit{S. A. Nazarov}, Trans. Mosc. Math. Soc. 1988, 77--127 (1987; Zbl 0699.35072); translation from Tr. Mosk. Mat. O.-va 50, 79--129 (1987)
Maz’ya, V. G.; Nazarov, S. A. Asymptotics of energy integrals under small perturbations of the boundary close to angular and conic points. (Russian) Zbl 0668.35027 Tr. Mosk. Mat. O.-va 50, 79-129 (1987). Reviewer: J.H.Tian MSC: 35J55 35B20 35B40 35B65 PDFBibTeX XMLCite \textit{V. G. Maz'ya} and \textit{S. A. Nazarov}, Tr. Mosk. Mat. O.-va 50, 79--129 (1987; Zbl 0668.35027)
Nazarov, S. A. Asymptotics of eigenvalues of the Dirichlet problem in a thin domain. (English. Russian original) Zbl 0664.35064 Sov. Math. 31, No. 11, 68-80 (1987); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1987, No. 11(306), 54-64 (1987). Reviewer: G.Popov MSC: 35P20 35J25 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Sov. Math. 31, No. 11, 68--80 (1987; Zbl 0664.35064); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1987, No. 11(306), 54--64 (1987)
Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. On the singularities of solutions of the Dirichlet problem in the exterior of a slender cone. (English) Zbl 0599.35056 Math. USSR, Sb. 50, 415-437 (1985). MSC: 35J40 35B40 35A20 35P99 35J55 PDFBibTeX XMLCite \textit{V. G. Maz'ya} et al., Math. USSR, Sb. 50, 415--437 (1985; Zbl 0599.35056) Full Text: DOI
Nazarov, S. A. Asymptotics at infinity for a solution of the von Neumann problem with conjugate conditions in an angle. (English. Russian original) Zbl 0552.35024 Sov. Math. 28, No. 1, 19-27 (1984); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1984, No. 1(260), 18-25 (1984). Reviewer: S.L’vin MSC: 35J25 35R05 35C20 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Sov. Math. 28, No. 1, 19--27 (1984; Zbl 0552.35024); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1984, No. 1(260), 18--25 (1984)
Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. Evaluation of the asymptotic form of the ”intensity coefficients” on approaching corner or conical points. (English) Zbl 0551.35008 U.S.S.R. Comput. Math. Math. Phys. 23, No. 2, 50-58 (1983). MSC: 35C20 35B40 35J05 PDFBibTeX XMLCite \textit{V. G. Maz'ya} et al., U.S.S.R. Comput. Math. Math. Phys. 23, No. 2, 50--58 (1983; Zbl 0551.35008) Full Text: DOI
Nazarov, S. A.; Shojkhet, B. A. Asymptotic behavior of the solution of a certain integro-differential equation near an angular point of the boundary. (English) Zbl 0529.45008 Math. Notes 33, 300-306 (1983). MSC: 45K05 45M05 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{B. A. Shojkhet}, Math. Notes 33, 300--306 (1983; Zbl 0529.45008) Full Text: DOI
Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. Calculation of the asymptotics of the ”intensity coefficients” in case of approach of angular or conic points. (Russian) Zbl 0523.35009 Zh. Vychisl. Mat. Mat. Fiz. 23, No. 2, 333-346 (1983). MSC: 35C20 35B40 35J05 PDFBibTeX XMLCite \textit{V. G. Maz'ya} et al., Zh. Vychisl. Mat. Mat. Fiz. 23, No. 2, 333--346 (1983; Zbl 0523.35009)
Nazarov, S. A.; Shojkhet, B. A. Asymptotics of the solution of a certain integro-differential equation close to an angular boundary point. (Russian) Zbl 0516.45017 Mat. Zametki 33, No. 4, 583-594 (1983). MSC: 45K05 45M05 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{B. A. Shojkhet}, Mat. Zametki 33, No. 4, 583--594 (1983; Zbl 0516.45017)
Zhuravlev, V. P.; Nazarov, S. A.; Shojkhet, B. A. Asymptotics near the tip of crack of the stress-strained state of inhomogeneously aging bodies. (Russian) Zbl 0564.73043 Dokl. Akad. Nauk Arm. SSR 74, 26-29 (1982). MSC: 74D99 74R05 PDFBibTeX XMLCite \textit{V. P. Zhuravlev} et al., Dokl., Akad. Nauk Arm. SSR 74, 26--29 (1982; Zbl 0564.73043)
Mazya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. On homogeneous solutions of the Dirichlet problem in the exterior of a slender cone. (English. Russian original) Zbl 0518.35033 Sov. Math., Dokl. 26, 320-323 (1982); translation from Dokl. Akad. Nauk SSSR 266, 281-284 (1982). MSC: 35J55 35B25 35P15 PDFBibTeX XMLCite \textit{V. G. Mazya} et al., Sov. Math., Dokl. 26, 320--323 (1982; Zbl 0518.35033); translation from Dokl. Akad. Nauk SSSR 266, 281--284 (1982)
Nazarov, S. Asymptotics of solutions of elliptic equations in narrow domains with a piecewise smooth boundary. (Russian) Zbl 0518.35032 Differ. Uravn. Primen. 32, 62-83 (1982). MSC: 35J30 35B40 PDFBibTeX XMLCite \textit{S. Nazarov}, Differ. Uravn. Primen. 32, 62--83 (1982; Zbl 0518.35032)
Nazarov, S. A. On the Noether property and asymptotic solutions of elliptic boundary- value problems with periodic coefficients in a cylinder. (English) Zbl 0483.35031 Russ. Math. Surv. 36, No. 1, 246-247 (1981). MSC: 35J55 35B10 47A53 35A05 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Russ. Math. Surv. 36, No. 1, 246--247 (1981; Zbl 0483.35031) Full Text: DOI
Nazarov, S. A. On the noetherianness and asymptotics of the solutions of elliptic boundary value problems with periodic coefficients in a cylinder. (Russian) Zbl 0462.35035 Usp. Mat. Nauk 36, No. 1(217), 217-218 (1981). MSC: 35J55 35A05 35B10 47A53 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Usp. Mat. Nauk 36, No. 1(217), 217--218 (1981; Zbl 0462.35035)
Nazarov, S. A. Small parameter asymptotics of a solution for a second-order differential equation in a manifold with angles. (English) Zbl 0466.35007 Sov. Math. 24, No. 9, 18-26 (1980). MSC: 35B40 35G05 35B25 35J99 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Sov. Math. 24, No. 9, 18--26 (1980; Zbl 0466.35007)
Maz’ya, Vladimir; Nazarov, Sergej; Plamenevskij, Boris On asymptotics of the solution of a quasilinear equation in a nonregular perturbed domain. (Russian) Zbl 0463.35038 Differ. Uravn. Primen. 27, 17-50 (1980). MSC: 35J65 35C10 35B20 PDFBibTeX XMLCite \textit{V. Maz'ya} et al., Differ. Uravn. Primen. 27, 17--50 (1980; Zbl 0463.35038)
Nazarov, S. A. The asymptotics with respect to a small parameter for the solution of a boundary value problem, elliptic in the sense of Agranovich-Vishik, in a domain with conic points. (Russian) Zbl 0417.35015 Probl. Mat. Anal. 7, 146-167 (1979). MSC: 35B40 35B25 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Probl. Mat. Anal. 7, 146--167 (1979; Zbl 0417.35015)