Edit Profile (opens in new tab) Nazarov, Sergeĭ Aleksandrovich Compute Distance To: Compute Author ID: nazarov.sergei-aleksandrovich Published as: Nazarov, S. A.; Nazarov, Sergei A.; Nazarov, Sergey A.; Nazarov, Serguei A.; Nazarov, Sergueï A.; Nazarov, Sergej A.; Nazarov, S.; Nazarov, Sergueï; Nazarov, Sergei; Nazarov, Sergej; Nazarov, Sergey; Nazarov, Sergei Aleksandrovich; Nazarov, Seguei A.; Nazarov, Sergeĭ A.; Nazarov, Sergeï A.; Nazarov, Sergey S.; Nazarov, Sergueí; Nazarov, Serguey; Nazarov, St. A. more...less Homepage: http://www.ipme.ru/ipme/labs/mmmm/nazarov.htm External Links: ORCID · Math-Net.Ru · dblp Documents Indexed: 646 Publications since 1978, including 4 Books Co-Authors: 110 Co-Authors with 371 Joint Publications 1,857 Co-Co-Authors all top 5 Co-Authors 248 single-authored 38 Taskinen, Jari 36 Plamenevskiĭ, Boris Alekseevich 31 Maz’ya, Vladimir Gilelevich 29 Specovius-Neugebauer, Maria Ursula 21 Cardone, Giuseppe 20 Pileckas, Konstantin 19 Sokołowski, Jan 15 Chesnel, Lucas 14 Videman, Juha Hans 13 Bakharev, Fedor L’vovich 13 Ruotsalainen, Keijo Matti 13 Slutskiĭ, A. S. 12 Sweers, Guido H. 11 Gómez, Delfina 10 Movchan, Alexander B. 10 Shojkhet, B. A. 9 Argatov, Ivan I. 9 Pérez, Eugenia 8 Kamotskĭ, Il’ya Vladimirovich 8 Polyakova, Oksana R. 7 Chiadò Piat, Valeria 7 Pérez-martínez, María-eugenia 6 Leugering, Günter 6 Slutskij, Andrey S. 5 Campbell, Alain 5 Durante, Tiziana 5 Izotova, O. V. 5 Morozov, Nikita Fedorovich 5 Sequeira, Adélia 5 Thäter, Gudrun 4 Arutyunyan, N. Kh. 4 Bonnet-Ben Dhia, Anne-Sophie 4 Chernyaev, P. K. 4 Claeys, Xavier 4 Golovatyj, Yuriy Danilovich 4 Matveenko, Sergeĭ G. 4 Oleĭnik, Ol’ga Arsen’evna 4 Piatnitski, Andrey L. 4 Proskura, A. V. 3 Buttazzo, Giuseppe 3 Chechkin, Gregory Aleksandrovich 3 Ghosh, Arpan 3 Kulikov, A. A. 3 Lobo, Miguel Sousa 3 Mel’nik, T. A. 3 Orive Illera, Rafael 3 Orlof, Anna 3 Zorin, I. S. 2 Akimova, E. A. 2 Bach, Michael 2 Berntsson, Fredrik 2 Bunoiu, Renata 2 Corbo Esposito, Antonio 2 Dudnikov, V. A. 2 Heleine, Jérémy 2 Hinder, Rainer 2 Langer, Susanne 2 Leora, S. N. 2 Mel’nyk, Taras A. 2 Motygin, Oleg Valer’evich 2 Olyushin, M. V. 2 Popoff, Nicolas 2 Romashev, Yu. A. 2 Semenov, Boris N. 2 Shanin, Andrey V. 2 Uusitalo, Pauliina 2 Wendland, Wolfgang L. 2 Zavorokhin, German L. 2 Zhuravlëv, Viktor Filippovich 1 Agalaryan, O. B. 1 Agratov, I. I. 1 Alain, Campbell 1 Aldoshina, I. A. 1 Alfutova, N. B. 1 Apushkinskaya, Darya E. 1 Blazy, Stephan 1 Cal, Filipe S. 1 Cardone, C. 1 Costabel, Martin 1 Dauge, Monique 1 D’Elia, Lorenza 1 Dias, Gonçalo A. S. 1 Eck, Christof 1 Iguernane, Mohamed 1 Karlsson, Matts 1 Kemppainen, Jukka T. 1 Kolton, Leonid H. 1 Laurain, Antoine 1 Lobo, M. I. 1 Lunéville, Eric 1 Martin, Jussi 1 Mbeutcha, Yves 1 Meister, Erhard V. 1 Narbut, Mikhaĭl Aleksandrovich 1 Novotný, Antonín 1 Pagneux, Vincent 1 Pankratova, Iryna L. 1 Peres, M. E. 1 Perugia, Carmen 1 Roche, Jean Rodolphe ...and 10 more Co-Authors all top 5 Serials 63 Journal of Mathematical Sciences (New York) 25 St. Petersburg Mathematical Journal 24 Journal of Applied Mathematics and Mechanics 23 Sbornik: Mathematics 21 Siberian Mathematical Journal 16 Doklady Mathematics 14 Mathematical Notes 14 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 14 Problemy Matematicheskogo Analiza 12 Asymptotic Analysis 11 Izvestiya: Mathematics 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Functional Analysis and its Applications 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 Comptes Rendus. Mécanique. Académie des Sciences, Paris 9 Prikladnaya Matematika i Mekhanika 9 Transactions of the Moscow Mathematical Society 9 Doklady Physics 8 Mathematical Methods in the Applied Sciences 8 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 8 Sibirskiĭ Matematicheskiĭ Zhurnal 8 Computational Mathematics and Mathematical Physics 8 Vestnik St. Petersburg University. Mathematics 7 Soviet Mathematics 7 Comptes Rendus de l’Académie des Sciences. Série I 7 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 6 Applicable Analysis 6 Russian Mathematical Surveys 6 Mathematische Nachrichten 6 Mathematics of the USSR. Izvestiya 6 Mathematics of the USSR, Sbornik 6 Soviet Physics. Doklady 6 Prikladnaya Mekhanika i Tekhnicheskaya Fizika 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Akademiya Nauk Armyanskoĭ SSR. Doklady 5 Journal of Differential Equations 5 Zeitschrift für Analysis und ihre Anwendungen 5 Leningrad University Mechanics Bulletin 5 Russian Journal of Mathematical Physics 5 Journal of Mathematical Fluid Mechanics 5 Differential Equations 5 Differentsial’nye Uravneniya i ikh Primenenie 4 Archive for Rational Mechanics and Analysis 4 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 4 Soviet Mathematics. Doklady 4 Izvestiya Akademii Nauk Armyanskoi SSR. Mekhanika 4 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 4 Journal of Elasticity 4 Vestnik Leningrad University. Mathematics 4 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 4 Networks and Heterogeneous Media 4 Mechanics of Solids 3 IMA Journal of Applied Mathematics 3 Lithuanian Mathematical Journal 3 Uspekhi Matematicheskikh Nauk [N. S.] 3 Journal of Soviet Mathematics 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 SIAM Journal on Mathematical Analysis 3 Comptes Rendus de l’Académie des Sciences. Série II 3 Vestnik Sankt-Peterburgskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya 3 Doklady Akademii Nauk 3 Zapiski Nauchnykh Seminarov POMI 3 Journal of Applied Mechanics and Technical Physics 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Journal of Mathematical Analysis and Applications 2 Matematicheskie Zametki 2 Quarterly Journal of Mechanics and Applied Mathematics 2 Theoretical and Mathematical Physics 2 Wave Motion 2 Control and Cybernetics 2 Differential Equations 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Mathematische Annalen 2 Trudy Moskovskogo Matematicheskogo Obshchestva 2 Algebra i Analiz 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Litovskiĭ Matematicheskiĭ Sbornik 2 U.S.S.R. Computational Mathematics and Mathematical Physics 2 Russian Academy of Sciences. Izvestiya. Mathematics 2 Journal of Convex Analysis 2 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications in Mathematical Sciences 2 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 2 Operator Theory: Advances and Applications 1 Communications in Mathematical Physics 1 Dinamika Sploshnoĭ Sredy 1 Inverse Problems 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Soviet Applied Mechanics 1 Applied Mathematics and Computation 1 Integral Equations and Operator Theory 1 Journal of Functional Analysis 1 Journal of Mathematics of Kyoto University 1 Journal für die Reine und Angewandte Mathematik 1 Mathematica Scandinavica 1 Pacific Journal of Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 SIAM Journal on Control and Optimization ...and 34 more Serials all top 5 Fields 501 Partial differential equations (35-XX) 263 Mechanics of deformable solids (74-XX) 98 Fluid mechanics (76-XX) 48 Operator theory (47-XX) 38 Optics, electromagnetic theory (78-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 19 Quantum theory (81-XX) 15 Numerical analysis (65-XX) 14 Biology and other natural sciences (92-XX) 13 Statistical mechanics, structure of matter (82-XX) 8 Ordinary differential equations (34-XX) 7 Functional analysis (46-XX) 5 Potential theory (31-XX) 5 Approximations and expansions (41-XX) 4 Integral equations (45-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Geophysics (86-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 488 Publications have been cited 3,137 times in 1,112 Documents Cited by ▼ Year ▼ Elliptic problems in domains with piecewise smooth boundaries. Zbl 0806.35001Nazarov, Sergey A.; Plamenevsky, Boris A. 300 1994 The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes. Zbl 0970.35026Nazarov, S. A. 76 1999 Asymptotic analysis of shape functionals. Zbl 1031.35020Nazarov, Serguei A.; Sokołowski, Jan 62 2003 Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii. Zbl 1127.35301Maz’ya, V.; Nazarov, S.; Plamenevskii, B. 58 2000 Asymptotic expansions of eigenvalues in the continuous spectrum of a regularly perturbed quantum waveguide. Zbl 1274.81109Nazarov, S. A. 57 2011 Properties of spectra of boundary value problems in cylindrical and quasicylindrical domains. Zbl 1208.35093Nazarov, Sergey 38 2009 Variational and asymptotic methods for finding eigenvalues below the continuous spectrum threshold. Zbl 1205.35178Nazarov, S. A. 35 2010 A hinged plate equation and iterated Dirichlet Laplace operator on domains with concave corners. Zbl 1108.35043Nazarov, Sergueï A.; Sweers, Guido 31 2007 Enforced stability of a simple eigenvalue in the continuous spectrum of a waveguide. Zbl 1325.35120Nazarov, S. A. 30 2013 Asymptotic expansions of the eigenvalues of boundary value problems for the Laplace operator in domains with small holes. Zbl 0566.35031Maz’ya, V. G.; Nazarov, S. A.; Plamenevskij, B. A. 28 1985 The structure of the solutions of elliptic boundary value problems in thin domains. Zbl 0509.35008Nazarov, S. A. 28 1982 Eigen-oscillations of contrasting non-homogeneous elastic bodies: asymptotic and uniform estimates for eigenvalues. Zbl 1076.74024Lobo, Miguel; Nazarov, Serguei A.; Perez, Eugenia 24 2005 Junctions of singularly degenerating domains with different limit dimensions. Zbl 0862.35027Nazarov, S. A. 23 1996 Reynolds flow of a fluid in a thin three-dimensional channel. Zbl 0715.76011Nazarov, S. A.; Pileckas, K. I. 23 1990 Korn inequalities for elastic junctions of massive bodies, thin plates, and rods. Zbl 1155.74027Nazarov, S. A. 22 2008 Edge effect in the bending of a thin three-dimensional plate. Zbl 0722.73037Zorin, I. S.; Nazarov, S. A. 22 1989 Self-adjoint extensions for the Neumann Laplacian and applications. Zbl 1284.49048Nazarov, S. A.; Sokołowski, J. 22 2006 On the spectrum of the Steklov problem in a domain with a peak. Zbl 1171.35086Nazarov, S. A.; Taskinen, J. 21 2008 On steady Stokes and Navier-Stokes problems with zero velocity at infinity in a three-dimensional exterior domain. Zbl 0976.35051Nazarov, S. A.; Pileckas, K. 21 2000 Asymptotic solution of the Navier-Stokes problem on the flow of a thin layer of fluid. Zbl 0712.76037Nazarov, S. A. 21 1990 Spectral stiff problems in domains surrounded by thin bands: asymptotic and uniform estimates for eigenvalues. Zbl 1168.35310Gómez, D.; Lobo, M.; Nazarov, S. A.; Pérez, E. 20 2006 Self-adjoint elliptic boundary-value problems. The polynomial property and formally positive operators. Zbl 0945.35029Nazarov, S. A. 19 1997 Exponentially decreasing solutions of diffraction problems on a rigid periodic boundary. Zbl 1156.78309Kamotskii, I. V.; Nazarov, S. A. 19 2003 Asymptotic structure of the spectrum of the Neumann problem in a thin comb-like domain. Zbl 0814.73017Mel’nyk, Taras A.; Nazarov, Serguei A. 18 1994 A gap in the essential spectrum of a cylindrical waveguide with a periodic perturbation of the surface. Zbl 1213.35327Cardone, Giuseppe; Nazarov, Sergey A.; Perugia, Carmen 18 2010 Elliptic boundary value problems with periodic coefficients in a cylinder. Zbl 0462.35034Nazarov, S. A. 18 1981 Umov-Mandelshtam radiation conditions in elastic periodic waveguides. Zbl 1304.35677Nazarov, S. A. 18 2014 Elliptic boundary value problems with periodic coefficients in a cylinder. Zbl 0483.35032Nazarov, S. A. 18 1982 Polarization matrices in anisotropic heterogeneous elasticity. Zbl 1213.35386Nazarov, S. A.; Sokolowski, J.; Specovius-Neugebauer, M. 17 2010 General averaging procedure for selfadjoint elliptic systems in many-dimensional domains, including thin ones. Zbl 0859.35025Nazarov, S. A. 16 1995 Uniform estimates of remainders in asymptotic expansions of solutions to the problem on eigenoscillations of a piezoelectric plate. Zbl 1054.35108Nazarov, S. A. 16 2003 Enforced stability of an eigenvalue in the continuous spectrum of a waveguide with an obstacle. Zbl 1249.78029Nazarov, S. A. 16 2012 The localization effect for eigenfunctions of the mixed boundary value problem in a thin cylinder with distorted ends. Zbl 1219.35147Cardone, G.; Durante, T.; Nazarov, S. A. 16 2010 The augmented scattering matrix and exponentially decaying solutions of an elliptic problem in a cylindrical domain. Zbl 1040.35053Kamotskii, I. V.; Nazarov, S. A. 16 2000 Essential spectrum of a periodic elastic waveguide May contain arbitrarily many gaps. Zbl 1186.35123Nazarov, Sergey A.; Ruotsalainen, Keijo; Taskinen, Jari 15 2010 Wood’s anomalies and surface waves in the problem of scattering by a periodic boundary. II. Zbl 0937.76082Kamotskii, I. V.; Nazarov, S. A. 15 1999 The Korn inequalities asymptotically exact for thin domains. Zbl 0773.73018Nazarov, S. A. 15 1992 Trapped modes in angular joints of 2D waveguides. Zbl 1287.35049Nazarov, S. A.; Shanin, A. V. 15 2014 On steady compressible Navier-Stokes equations in plane domains with corners. Zbl 0844.35083Nazarov, S. A.; Novotný, A.; Pileckas, K. 14 1996 Korn’s inequalities for junctions of spatial bodies and thin rods. Zbl 0880.35040Nazarov, Serguei A. 14 1997 Topological derivatives for semilinear elliptic equations. Zbl 1167.49039Iguernane, Mohamed; Nazarov, Serguei A.; Roche, Jean-Rodolphe; Sokołowski, Jan; Szulc, Katarzyna 14 2009 Opening of a gap in the continuous spectrum of a periodically perturbed waveguide. Zbl 1291.35143Nazarov, S. A. 14 2010 Bounded solutions in a \(t\)-shaped waveguide and the spectral properties of the Dirichlet ladder. Zbl 1313.78038Nazarov, S. A. 14 2014 The spectrum of the elasticity problem for a spiked body. Zbl 1224.35397Nazarov, S. A. 13 2008 Radiation conditions at the top of a rotational cusp in the theory of water-waves. Zbl 1267.76013Nazarov, Sergey A.; Taskinen, Jari 13 2011 Asymptotics of solutions to elliptic boundary value problems under singular perturbations of domains. (Асимптотика решений ѐллиптических краевых задач при сингулярных возмущениях области.) Zbl 0462.35001Maz’ya, V. G.; Nazarov, S. A.; Plamenevskiĭ, B. A. 13 1981 A criterion for the existence of decaying solutions in the problem on a resonator with a cylindrical waveguide. Zbl 1162.35342Nazarov, S. A. 13 2006 Asymptotic analysis of an arbitrarily anisotropic plate of variable thickness (shallow shell). Zbl 0988.74042Nazarov, S. A. 12 2000 Elastic waves localized near periodic families of defects. Zbl 1060.74559Kamotskii, I. V.; Nazarov, S. A. 12 1999 Energy release caused by the kinking of a crack in a plane anisotropic solid. Zbl 1066.74578Argatov, I. I.; Nazarov, S. A. 12 2002 Justification of the asymptotic theory of thin rods. Integral and pointwise estimates. Zbl 0917.35029Nazarov, S. A. 12 1997 Non-scattering wavenumbers and far field invisibility for a finite set of incident/scattering directions. Zbl 1319.65106Dhia, Anne-Sophie Bonnet-Ben; Chesnel, Lucas; Nazarov, Sergei A. 12 2015 A gap in the spectrum of the Neumann-Laplacian on a periodic waveguide. Zbl 1302.35266Bakharev, F. L.; Nazarov, S. A.; Ruotsalainen, K. M. 12 2013 Noncompact free boundary problems for the plane stationary Navier-Stokes equations. Zbl 0767.35111Nazarov, Sergei; Pileckas, Konstantin 12 1993 The Vishik-Lyusternik method for elliptic boundary value problems in domains with conic points. I: The problem in the cone. Zbl 0479.35032Nazarov, S. A. 12 1981 Change of the intensity factor in case of fracture of the cross connection between two collinear cracks. Zbl 0538.73126Nazarov, S. A.; Romashev, Yu. A. 12 1982 Interaction of concentrated masses in a harmonically oscillating spatial body with Neumann boundary conditions. Zbl 0791.35090Nazarov, S. A. 11 1993 Asymptotic solution to the problem of an elastic body lying on several small supports. Zbl 0822.73062Argatov, I. I.; Nazarov, S. A. 11 1994 Deduction of limit equations for elliptic problems in thin domains by means of electronic computers. Zbl 0626.65129Leora, S. N.; Nazarov, S. A.; Proskura, A. V. 11 1986 Eigenvalues of the Laplace operator with the Neumann conditions at regular perturbed walls of a waveguide. Zbl 1219.35149Nazarov, S. A. 11 2011 On the solvability of the Stokes and Navier-Stokes problems in the domains that are layer-like at infinity. Zbl 0941.35062Nazarov, S. A.; Pileckas, K. 11 1999 Wood’s anomalies and surface waves in the problem of scattering by a periodic boundary. I. Zbl 0937.76081Kamotskii, I. V.; Nazarov, S. A. 11 1999 A sufficient condition for the existence of trapped modes for oblique waves in a two-layer fluid. Zbl 1195.76166Nazarov, Sergey A.; Videman, Juha H. 11 2009 Asymptotics for the spectrum of the Wentzell problem with a small parameter and other related stiff problems. Zbl 1241.35010Gómez, D.; Lobo, M.; Nazarov, S. A.; Pérez, E. 11 2006 Asymptotic behaviour of an eigenvalue in the continuous spectrum of a narrowed waveguide. Zbl 1238.35071Cardone, G.; Nazarov, S. A.; Ruotsalainen, K. 11 2012 On the structure of the spectrum for the elasticity problem in a body with a supersharp spike. Zbl 1224.35395Bakharev, F. L.; Nazarov, S. A. 10 2009 Steklov problems in perforated domains with a coefficient of indefinite sign. Zbl 1262.35025Piat, Valeria Chiado; Nazarov, Sergey S.; Piatnitski, Andrey 10 2012 Spectra of open waveguides in periodic media. Zbl 1322.35097Cardone, G.; Nazarov, S. A.; Taskinen, J. 10 2015 Estimating the convergence rate for eigenfrequencies of anisotropic plates with variable thickness. Zbl 1177.74192Nazarov, Serguei A. 10 2002 Spectral problems in the shape optimisation. Singular boundary perturbations. Zbl 1157.35006Nazarov, S. A.; Sokolowski, J. 10 2008 Gaps in the essential spectrum of periodic elastic waveguides. Zbl 1189.35201Cardone, C.; Minutolo, V.; Nazarov, S. A. 10 2009 Two-term asymptotics of solutions of spectral problems with singular perturbations. Zbl 0732.35004Nazarov, S. A. 10 1991 Almost standing waves in a periodic waveguide with resonator, and near-threshold eigenvalues. Zbl 1361.81059Nazarov, S. A. 10 2017 The Mandelstam energy radiation conditions and the Umov-Poynting vector in elastic waveguides. Zbl 1308.35302Nazarov, S. A. 10 2013 Trapped modes in a cylindrical elastic waveguide with a damping gasket. Zbl 1164.74458Nazarov, S. A. 9 2008 Asymptotic conditions at infinity for the Stokes and Navier-Stokes problems in domains with cylindrical outlets to infinity. Zbl 0948.35099Nazarov, Serguei A.; Pileckas, Konstantin 9 1999 Junctions of singularly degenerating domains with different limit dimensions. II. Zbl 0976.35013Nazarov, S. A. 9 1997 One-dimensional equations of deformation of thin slightly curved rods. Asymptotical analysis and justification. Zbl 0996.74051Nazarov, S. A.; Slutskij, A. S. 9 2000 Asymptotics of eigenvalues of a plate with small clamped zone. Zbl 1029.74031Campbell, Alain; Nazarov, Sergueï A. 9 2001 Rupture criteria, asymptotic condition at crack tips, and selfadjoint extensions of the Lamé operator. Zbl 0906.73048Nazarov, S. A.; Polyakova, O. R. 9 1996 Asymptotics of energy integrals under small perturbations of the boundary close to angular and conic points. Zbl 0668.35027Maz’ya, V. G.; Nazarov, S. A. 9 1987 The asymptotic properties of the solution to the Stokes problem in domains that are layer-like at infinity. Zbl 0940.35155Nazarov, S. A.; Pileckas, K. 9 1999 Trapping of water waves by freely floating structures in a channel. Zbl 1243.76015Nazarov, Sergey A.; Videman, Juha H. 9 2011 Paradoxes of limit passage in solutions of boundary value problems involving the approximation of smooth domains by polygonal domains. Zbl 0635.73062Maz’ya, V. G.; Nazarov, S. A. 9 1987 Asymptotic analysis, polarization matrices, and topological derivatives for piezoelectric materials with small voids. Zbl 1204.35158Cardone, G.; Nazarov, S. A.; Sokolowski, J. 9 2010 The asymptotic analysis of gaps in the spectrum of a waveguide perturbed with a periodic family of small voids. Zbl 1307.35100Nazarov, S. A. 9 2012 Hinged and supported plates with corners. Zbl 1325.74093Nazarov, Sergey A.; Stylianou, Athanasios; Sweers, Guido 9 2012 Scattering anomalies in a resonator above the thresholds of the continuous spectrum. Zbl 1332.35248Nazarov, S. A. 9 2015 Neumann Laplacian on a domain with tangential components in the boundary. Zbl 1172.35016Nazarov, Serguei A.; Sokolowski, Jan; Taskinen, Jari 9 2009 Asymptotics of solutions of the Neumann problem in a domain with closely posed components of the boundary. Zbl 1175.35040Cardone, G.; Nazarov, S. A.; Sokolowski, J. 9 2009 Eigenoscillations of a string with an additional mass. Zbl 0702.34050Golovatyĭ, Yu. D.; Nazarov, S. A.; Oleĭnik, O. A.; Soboleva, T. S. 9 1988 On radiation conditions for selfadjoint elliptic problems. Zbl 0725.35072Nazarov, S. A.; Plamenevskij, B. A. 9 1990 The spectra of rectangular lattices of quantum waveguides. Zbl 1364.35217Nazarov, S. A. 9 2017 Asymptotic of the solution of a nonlinear equation in the neighborhood of an angular point of the boundary. Zbl 0528.35039Nazarov, S. A. 9 1982 Discrete spectrum of cranked, branching, and periodic waveguides. Zbl 1238.35075Nazarov, S. A. 9 2012 Sufficient conditions on the existence of trapped modes in problems of the linear theory of surface waves. Zbl 1288.35398Nazarov, S. A. 9 2010 Asymptotic solution of a problem with small obstacles. Zbl 0862.35018Nazarov, S. A. 8 1995 Selfadjoint extensions of the Neumann Laplacian in domains with cylindrical outlets. Zbl 0880.35036Nazarov, S. A.; Specovius-Neugebauer, M. 8 1997 Asymptotics of solutions to the Poisson problem in a perforated domain with corners. Zbl 0906.35011Blanc, F.; Nazarov, S. A. 8 1997 The topological derivative of the Dirichlet integral under formation of a thin ligament. Zbl 1071.35037Nazarov, S. A.; Sokolowski, Jan 8 2004 Design of a mode converter using thin resonant ligaments. Zbl 1483.35014Chesnel, Lucas; Heleine, Jérémy; Nazarov, Sergei A. 1 2022 Acoustic passive cloaking using thin outer resonators. Zbl 1487.35265Chesnel, Lucas; Heleine, Jérémy; Nazarov, Sergei A. 1 2022 Localization effects for Dirichlet problems in domains surrounded by thin stiff and heavy bands. Zbl 1451.35016Gómez, Delfina; Nazarov, Sergei A.; Pérez-Martínez, Maria-Eugenia 2 2021 Homogenization of Kirchhoff plates joined by rivets which are modeled by the Sobolev point conditions. Zbl 1467.74073Nazarov, S. A. 1 2021 Anomalies of acoustic wave propagation in two semi-infinite cylinders connected by a flattened ligament. Zbl 1465.76093Nazarov, S. A.; Chesnel, L. 1 2021 Trapping of waves in semiinfinite Kirchhoff plate with periodically damaged edge. Zbl 1473.35300Nazarov, S. A. 1 2021 Threshold resonances and virtual levels in the spectrum of cylindrical and periodic waveguides. Zbl 1458.35031Nazarov, S. A. 4 2020 Exact zero transmission during the Fano resonance phenomenon in non-symmetric waveguides. Zbl 1440.35044Chesnel, Lucas; Nazarov, Sergei A. 3 2020 Surface waves in a channel with thin tunnels and wells at the bottom: non-reflecting underwater topography. Zbl 1451.35128Chesnel, Lucas; Nazarov, Sergei A.; Taskinen, Jari 3 2020 Waves trapped by semi-infinite Kirchhoff plate at ultra-low frequencies. Zbl 1460.74049Nazarov, S. A. 2 2020 “Blinking eigenvalues” of the Steklov problem generate the continuous spectrum in a cuspidal domain. Zbl 1442.35102Nazarov, Sergei A.; Taskinen, Jari 2 2020 Asymptotic analysis of an elastic rod with rounded ends. Zbl 1451.74141Nazarov, Sergey A.; Slutskij, Andrey S.; Taskinen, Jari 2 2020 A Dirichlet spectral problem in domains surrounded by thin stiff and heavy bands. Zbl 1451.35098Gómez, Delfina; Nazarov, Sergey A.; Pérez-Martínez, Maria-Eugenia 1 2020 Homogenization of Kirchhoff plates with oscillating edges and point supports. Zbl 1446.35018Nazarov, Sergeĭ A. 1 2020 Asymptotics for spectral problems with rapidly alternating boundary conditions on a strainer Winkler foundation. Zbl 1458.35041Gómez, Delfina; Nazarov, Sergei A.; Pérez-Martínez, María-Eugenia 1 2020 Constructing a trapped mode at low frequencies in an elastic waveguide. Zbl 1447.74020Nazarov, S. A. 1 2020 Waveguide with double threshold resonance at a simple threshold. Zbl 1454.35063Nazarov, Sergei A. 1 2020 The band-gap structure of the spectrum in a periodic medium of masonry type. Zbl 1454.35130Leugering, Günter; Nazarov, Sergei A.; Taskinen, Jari 1 2020 Non reflection and perfect reflection via Fano resonance in waveguides. Zbl 1421.78017Chesnel, Lucas; Nazarov, Sergei A. 6 2019 Asymptotic structure of the spectrum in a Dirichlet-strip with double periodic perforations. Zbl 1435.35267Nazarov, Sergei A.; Orive-Illera, Rafael; Pérez-Martínez, María-Eugenia 2 2019 Infinite Kirchhoff plate on a compact elastic foundation may have an arbitrarily small eigenvalue. Zbl 1458.74100Nazarov, S. A. 2 2019 ‘Blinking’ and ‘gliding’ eigenfrequencies of oscillations of elastic bodies with blunted cuspidal sharpenings. Zbl 1458.35410Nazarov, S. A. 1 2019 Eigenvalue asymptotics of long Kirchhoff plates with clamped edges. Zbl 1417.35079Bakharev, F. L.; Nazarov, S. A. 1 2019 Perfect transmission invisibility for waveguides with sound hard walls. Zbl 1397.35197Bonnet-Ben Dhia, Anne-Sophie; Chesnel, Lucas; Nazarov, Sergei A. 8 2018 On multi-scale asymptotic structure of eigenfunctions in a boundary value problem with concentrated masses near the boundary. Zbl 1382.35025Nazarov, Sergei A.; Pérez, M. Eugenia 7 2018 A one dimensional model of blood flow through a curvilinear artery. Zbl 1480.76169Berntsson, Fredrik; Ghosh, Arpan; Kozlov, Vladimir A.; Nazarov, S. A. 5 2018 A fractal graph model of capillary type systems. Zbl 1391.76896Kozlov, Vladimir; Nazarov, Sergei; Zavorokhin, German 5 2018 The asymptotics of natural oscillations of a long two-dimensional Kirchhoff plate with variable cross-section. Zbl 1471.35214Nazarov, S. A. 5 2018 Homogenization of Winkler-Steklov spectral conditions in three-dimensional linear elasticity. Zbl 1402.35033Gómez, D.; Nazarov, S. A.; Pérez, M. E. 4 2018 Various manifestations of wood anomalies in locally distorted quantum waveguides. Zbl 1421.78020Nazarov, S. A. 4 2018 Self-adjoint and skew-symmetric extensions of the Laplacian with singular Robin boundary condition. (Extensions self-adjointes et anti-symétriques du laplacien, avec condition à la frontière de type Robin singulière.) Zbl 1429.35072Nazarov, Sergei A.; Popoff, Nicolas 4 2018 Waves and radiation conditions in a cuspidal sharpening of elastic bodies. Zbl 1412.35324Kozlov, V. A.; Nazarov, S. A. 3 2018 Essential spectrum of a periodic waveguide with non-periodic perturbation. Zbl 1437.35515Nazarov, Sergei A.; Taskinen, Jari 3 2018 Scalar problems in junctions of rods and a plate. II. Self-adjoint extensions and simulation models. Zbl 1428.35038Bunoiu, Renata; Nazarov, Sergey A. 3 2018 Embedded eigenvalues of the Neumann problem in a strip with a box-shaped perturbation. Zbl 1491.35132Cardone, Giuseppe; Durante, T.; Nazarov, S. A. 2 2018 Singularities at the contact point of two kissing Neumann balls. Zbl 1387.35055Nazarov, Sergey A.; Taskinen, Jari 2 2018 Invisibility and perfect reflectivity in waveguides with finite length branches. Zbl 1394.35578Chesnel, Lucas; Nazarov, Sergei A.; Pagneux, Vincent 2 2018 Asymptotics of the deflection of a cruciform junction of two narrow Kirchhoff plates. Zbl 1402.35075Nazarov, S. A. 2 2018 Oscillating behaviour of the spectrum for a plasmonic problem in a domain with a rounded corner. Zbl 07006977Chesnel, Lucas; Claeys, Xavier; Nazarov, Sergei A. 2 2018 Breakdown of cycles and the possibility of opening spectral gaps in a square lattice of thin acoustic waveguides. Zbl 1406.35210Nazarov, S. A. 2 2018 Transmission of waves through a small aperture in the cross-wall in an acoustic waveguide. Zbl 1394.35146Nazarov, S. A. 1 2018 Finite-dimensional approximations of the Steklov-Poincaré operator for the Helmholtz equation in periodic waveguides. Zbl 1401.35039Nazarov, S. A. 1 2018 Embedded eigenvalues for water-waves in a three-dimensional channel with a thin screen. Zbl 1447.35232Chiadó Piat, Valeria; Nazarov, Sergey A.; Taskinen, Jari 1 2018 A two-dimensional model of the thin laminar wall of a curvilinear flexible pipe. Zbl 1448.74008Ghosh, A.; Kozlov, V. A.; Nazarov, S. A.; Rule, D. 1 2018 Almost standing waves in a periodic waveguide with resonator, and near-threshold eigenvalues. Zbl 1361.81059Nazarov, S. A. 10 2017 The spectra of rectangular lattices of quantum waveguides. Zbl 1364.35217Nazarov, S. A. 9 2017 Thin elastic plates supported over small areas. II: Variational-asymptotic models. Zbl 1462.74103Buttazzo, Giuseppe; Cardone, Giuseppe; Nazarov, Sergei A. 7 2017 A one-dimensional model of flow in a junction of thin channels, including arterial trees. Zbl 1386.76062Kozlov, Vladimir A.; Nazarov, Sergei A. 7 2017 Examples of plentiful discrete spectra in infinite spatial cruciform quantum waveguides. Zbl 1368.65225Bakharev, Fedor; Matveenko, Sergey; Nazarov, Sergey 5 2017 Effects of Rayleigh waves on the essential spectrum in perturbed doubly periodic elliptic problems. Zbl 1386.35280Bakharev, F. L.; Cardone, G.; Nazarov, S. A.; Taskinen, J. 5 2017 The discrete spectrum of cross-shaped waveguides. Zbl 1356.81137Bakharev, F. L.; Matveenko, S. G.; Nazarov, S. A. 4 2017 A method to build non-scattering perturbations of two-dimensional acoustic waveguides. Zbl 1358.35113Dhia, A. S. Bonnet-Ben; Lunéville, E.; Mbeutcha, Y.; Nazarov, S. A. 2 2017 Asymptotics of eigenvalues in spectral gaps under regular perturbations of walls of a periodic waveguide. Zbl 1439.35145Nazarov, S. A. 2 2017 The spectrum, radiation conditions and the Fredholm property for the Dirichlet Laplacian in a perforated plane with semi-infinite inclusions. Zbl 1386.35281Cardone, G.; Durante, T.; Nazarov, S. A. 2 2017 Open waveguides in a thin Dirichlet ladder. I: Asymptotic structure of the spectrum. Zbl 1367.81065Nazarov, S. A. 2 2017 Open waveguides in a thin Dirichlet lattice. II: Localized waves and radiation conditions. Zbl 1434.78020Nazarov, S. A. 2 2017 Trapped modes in zigzag graphene nanoribbons. Zbl 1386.35314Kozlov, V. A.; Nazarov, S. A.; Orlof, A. 1 2017 Transmission conditions in a one-dimensional model of bifurcating arteries with elastic walls. Zbl 1394.76162Kozlov, V. A.; Nazarov, S. A. 1 2017 Radiation conditions for the linear water-wave problem in periodic channels. Zbl 1379.35068Nazarov, Sergey A.; Taskinen, Jari 1 2017 Wave scattering in the joint of a straight and a periodic waveguide. Zbl 1440.74174Nazarov, S. A. 1 2017 Asymptotic models of anisotropic heterogeneous elastic walls of blood vessels. Zbl 1344.35144Kozlov, Vladimir A.; Nazarov, S. A. 7 2016 Localization effect for Dirichlet eigenfunctions in thin non-smooth domains. Zbl 1338.35318Nazarov, S. A.; Pérez, E.; Taskinen, J. 7 2016 Thin elastic plates supported over small areas. I: Korn’s inequalities and boundary layers. Zbl 1349.74234Buttazzo, G.; Cardone, G.; Nazarov, S. A. 6 2016 A one-dimensional model of viscous blood flow in an elastic vessel. Zbl 1410.76480Berntsson, Fredrik; Karlsson, Matts; Kozlov, Vladimir; Nazarov, Sergey A. 6 2016 Team organization may help swarms of flies to become invisible in closed waveguides. Zbl 1348.35254Chesnel, Lucas; Nazarov, Sergei A. 4 2016 Discrete spectrum of cranked quantum and elastic waveguides. Zbl 1458.35288Nazarov, S. A. 4 2016 On the spectrum of an elastic solid with cusps. Zbl 1375.35543Kozlov, Vladimir; Nazarov, Sergei A. 4 2016 Transmission conditions in one-dimensional model of a rectangular lattice of thin quantum waveguides. Zbl 1365.81059Nazarov, S. A. 3 2016 Trapped modes supported by localized potentials in the zigzag graphene ribbon. (Modes piégés supportés par des potentiels localisés dans des bandes de graphène en zigzag.) Zbl 1338.35382Kozlov, Vladimir A.; Nazarov, Sergei A.; Orlof, Anna 3 2016 A simple one-dimensional model of a false aneurysm in the femoral artery. Zbl 1341.92014Kozlov, V. A.; Nazarov, S. A. 2 2016 Asymptotic analysis of an \(L\)-shaped junction of two elastic beams. Zbl 1382.35297Nazarov, S. A.; Slutskij, A. S. 2 2016 Trapped modes in piezoelectric and elastic waveguides. Zbl 1352.37198Nazarov, Sergei A.; Ruotsalainen, Keijo M.; Silvola, Minna 1 2016 A rigorous interpretation of approximate computations of embedded eigenfrequencies of water waves. Zbl 1338.74056Nazarov, Sergei A.; Routsalaien, Keijo M. 1 2016 Non-scattering wavenumbers and far field invisibility for a finite set of incident/scattering directions. Zbl 1319.65106Dhia, Anne-Sophie Bonnet-Ben; Chesnel, Lucas; Nazarov, Sergei A. 12 2015 Spectra of open waveguides in periodic media. Zbl 1322.35097Cardone, G.; Nazarov, S. A.; Taskinen, J. 10 2015 Scattering anomalies in a resonator above the thresholds of the continuous spectrum. Zbl 1332.35248Nazarov, S. A. 9 2015 Gaps in the spectrum of a waveguide composed of domains with different limiting dimensions. Zbl 1327.35262Bakharev, F. L.; Nazarov, St. A. 8 2015 Modeling of a singularly perturbed spectral problem by means of self-adjoint extensions of the operators of the limit problems. Zbl 1325.47093Nazarov, S. A. 6 2015 One-dimensional model of viscoelastic blood flow through a thin elastic vessel. Zbl 1321.35165Kozlov, V. A.; Nazarov, S. A. 6 2015 Spectral gaps for periodic piezoelectric waveguides. Zbl 1333.35275Nazarov, Sergei A.; Taskinen, Jari 4 2015 Spectra of three-dimensional cruciform and lattice quantum waveguides. Zbl 1334.82086Bakharev, F. L.; Matveenko, S. G.; Nazarov, S. A. 3 2015 Underwater topography invisible for surface waves at given frequencies. Zbl 07064022Bonnet-Ben Dhia, Anne-Sophie; Nazarov, Sergey A.; Taskinen, Jari 2 2015 Spectrum of a diffusion operator with coefficient changing sign over a small inclusion. Zbl 1328.35132Chesnel, Lucas; Claeys, Xavier; Nazarov, Sergei A. 2 2015 Asymptotic expansions for eigenvalues of the Steklov problem in singularly perturbed domains. Zbl 1456.35149Nazarov, Sergei Aleksandrovich 2 2015 The Eshelby theorem and its variants for piezoelectric media. Zbl 1309.35163Leugering, G.; Nazarov, S. A. 2 2015 Near-threshold effects of the scattering of waves in a distorted elastic two-dimensional waveguide. Zbl 1432.35156Nazarov, S. A. 2 2015 Spectrum of the linear water model for a two-layer liquid with cuspidal geometries at the interface. Zbl 1329.76038Martin, Jussi; Nazarov, Sergey A.; Taskinen, Jari 1 2015 Asymptotics of the eigenvalues of boundary value problems for the Laplace operator in a three-dimensional domain with a thin closed tube. Zbl 1336.35267Nazarov, S. A. 1 2015 Bound states of waveguides with two right-angled bends. Zbl 1323.35117Nazarov, S. A.; Ruotsalainen, K.; Uusitalo, P. 1 2015 Linearised theory for surface and interfacial waves interacting with freely floating bodies in a two-layer fluid. Zbl 1320.35273Cal, Filipe S.; Dias, Gonçalo A. S.; Nazarov, Serguei A.; Videman, Juha H. 1 2015 Gap opening around a given point of the spectrum of a cylindrical waveguide by means of a gentle periodic perturbation of walls. Zbl 1348.35148Nazarov, S. A. 1 2015 Asymptotics of the natural oscillations of a thin elastic gasket between absolutely rigid profiles. Zbl 1432.74143Nazarov, S. A. 1 2015 Umov-Mandelshtam radiation conditions in elastic periodic waveguides. Zbl 1304.35677Nazarov, S. A. 18 2014 Trapped modes in angular joints of 2D waveguides. Zbl 1287.35049Nazarov, S. A.; Shanin, A. V. 15 2014 Bounded solutions in a \(t\)-shaped waveguide and the spectral properties of the Dirichlet ladder. Zbl 1313.78038Nazarov, S. A. 14 2014 The Y-junction of quantum waveguides. Zbl 1302.81104Nazarov, S. A.; Ruotsalainen, K.; Uusitalo, P. 6 2014 Structure of the spectrum of a net of quantum waveguides and bounded solutions of a model problem at the threshold. Zbl 1307.81041Nazarov, S. A. 6 2014 A curious instability phenomenon for a rounded corner in presence of a negative material. Zbl 1294.35153Chesnel, Lucas; Claeys, Xavier; Nazarov, Sergey A. 6 2014 Asymptotics of eigenvalues of the Dirichlet problem in a skewed \(\mathcal\Gamma\)-shaped waveguide. Zbl 1313.78037Nazarov, S. A. 5 2014 Discrete spectrum of cross-shaped quantum waveguides. Zbl 1301.81069Nazarov, S. A. 3 2014 ...and 388 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,004 Authors 280 Nazarov, Sergeĭ Aleksandrovich 27 Pileckas, Konstantin 27 Taskinen, Jari 25 Sokołowski, Jan 22 Novotny, Antonio André 21 Argatov, Ivan I. 21 Borisov, Denis Ivanovich 21 Mel’nyk, Taras A. 19 Cardone, Giuseppe 19 Chechkin, Gregory Aleksandrovich 17 Brenner, Susanne Cecelia 17 Chesnel, Lucas 15 Bakharev, Fedor L’vovich 15 Sweers, Guido H. 13 Amstutz, Samuel 13 Panasenko, Grigory P. 12 Gómez, Delfina 12 Khludnev, Aleksandr Mikhaĭlovich 12 Piatnitski, Andrey L. 12 Plamenevskiĭ, Boris Alekseevich 11 Videman, Juha Hans 10 Gazzola, Filippo 10 Maz’ya, Vladimir Gilelevich 9 Bonnet-Ben Dhia, Anne-Sophie 9 Claeys, Xavier 9 Pérez-martínez, María-eugenia 8 Dauge, Monique 8 Gaudiello, Antonio 8 Giusti, Sebastián M. 8 Kweon, Jae Ryong 8 Laurain, Antoine 8 Leugering, Günter 8 Pérez, Eugenia 8 Sarafanov, Oleg V. 8 Zochowski, Antoni 7 Kovtunenko, Viktor Anatolievich 7 Movchan, Alexander B. 7 Nistor, Victor 7 Rossmann, Jürgen 7 Ruotsalainen, Keijo Matti 7 Slutskiĭ, A. S. 7 Specovius-Neugebauer, Maria Ursula 6 Amirat, Youcef Aït 6 Apel, Thomas 6 Chechkina, Aleksandra Grigorievna 6 Ciarlet, Patrick jun. 6 Cui, Jintao 6 Dambrine, Marc 6 de Souza Neto, Eduardo Alberto 6 Durante, Tiziana 6 Gadyl’shin, Rustem R. 6 Khrabustovskyi, Andrii 6 Pankrashkin, Konstantin 6 Poretskiĭ, Aleksandr S. 6 Vasilyev, Vladimir Borisovich 6 Vial, Grégory 5 Bacuta, Constantin 5 Bonnaillie-Noël, Virginie 5 Dalla Riva, Matteo 5 Gangl, Peter 5 Kaulakytė, Kristina 5 Li, Hengguang 5 Matveenko, Sergeĭ G. 5 Musolino, Paolo 5 Nazarov, Alexander I. 5 Nicaise, Serge 5 Russo, Remigio 5 Sequeira, Adélia 5 Sturm, Kevin 5 Zhevandrov, Peter N. 4 Berchio, Elvise 4 Costabel, Martin 4 De Maio, Umberto 4 Golovatyj, Yuriy Danilovich 4 Harutyunyan, Davit 4 Kamotskĭ, Il’ya Vladimirovich 4 Kuznetsov, Nikolai Germanovich 4 Mel’nik, T. A. 4 Merzon, Anatolĭ E. 4 Motygin, Oleg Valer’evich 4 Polyakova, Oksana R. 4 Rodríguez, M. I. Romero 4 Shakhmurov, Veli B. 4 Skubachevskiĭ, Aleksandr Leonidovich 4 Szulc, Katarzyna 4 Wittwer, Peter 3 Ammari, Habib M. 3 Assous, Franck 3 Babuška, Ivo 3 Berntsson, Fredrik 3 Bochniak, Marius 3 Bodart, Olivier 3 Bramble, James H. 3 Bucur, Dorin 3 Bunoiu, Renata 3 Cakoni, Fioralba 3 Chasman, L. Mercredi 3 Chiadò Piat, Valeria 3 Choi, Hyungjun 3 D’Apice, Ciro ...and 904 more Authors all top 5 Cited in 234 Serials 97 Journal of Mathematical Sciences (New York) 42 Mathematical Methods in the Applied Sciences 33 Journal of Differential Equations 28 Journal of Applied Mathematics and Mechanics 28 Journal de Mathématiques Pures et Appliquées. Neuvième Série 28 St. Petersburg Mathematical Journal 23 Applicable Analysis 22 Journal of Mathematical Analysis and Applications 20 Siberian Mathematical Journal 19 Prikladnaya Matematika i Mekhanika 18 ZAMP. 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Scienze Matematiche 3 Nonlinear Oscillations 3 Complex Analysis and Operator Theory ...and 134 more Serials all top 5 Cited in 43 Fields 809 Partial differential equations (35-XX) 350 Mechanics of deformable solids (74-XX) 206 Fluid mechanics (76-XX) 126 Numerical analysis (65-XX) 98 Operator theory (47-XX) 95 Calculus of variations and optimal control; optimization (49-XX) 90 Optics, electromagnetic theory (78-XX) 44 Quantum theory (81-XX) 27 Functional analysis (46-XX) 27 Global analysis, analysis on manifolds (58-XX) 25 Ordinary differential equations (34-XX) 24 Biology and other natural sciences (92-XX) 23 Potential theory (31-XX) 17 Statistical mechanics, structure of matter (82-XX) 14 Integral equations (45-XX) 9 Operations research, mathematical programming (90-XX) 8 Functions of a complex variable (30-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Approximations and expansions (41-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Systems theory; control (93-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Differential geometry (53-XX) 6 Probability theory and stochastic processes (60-XX) 5 Algebraic geometry (14-XX) 5 Geophysics (86-XX) 4 Real functions (26-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Information and communication theory, circuits (94-XX) 3 Combinatorics (05-XX) 3 Measure and integration (28-XX) 3 Mechanics of particles and systems (70-XX) 2 \(K\)-theory (19-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) Citations by Year