Sergueï A. Nazarov

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Sergueï A. Nazarov

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#1658

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Mathematics

Sergueï A. Nazarov's Degrees

PhD Mathematics Princeton University
Masters Mathematics Moscow State University
Bachelors Mathematics Moscow State University

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Sergueï A. Nazarov's Published Works

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Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Elliptic Problems in Domains with Piecewise Smooth Boundaries (1994) (1033)
Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains: Volume I (2000) (560)
The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes (1999) (182)
Asymptotic analysis of shape functionals (2003) (179)
Asymptotic expansions of eigenvalues in the continuous spectrum of a regularly perturbed quantum waveguide (2011) (109)
Variational and Asymptotic Methods for Finding Eigenvalues below the Continuous Spectrum Threshold (2010) (86)
Junctions of singularly degenerating domains with different limit dimensions. II (1996) (85)
Enforced stability of a simple eigenvalue in the continuous spectrum of a waveguide (2013) (73)
Asymptotic solution of the Navier-Stokes problem on the flow of a thin layer of fluid (1990) (69)
A hinged plate equation and iterated Dirichlet Laplace operator on domains with concave corners (2007) (62)
Edge effect in the bending of a thin three-dimensional plate (1989) (59)
On steady Stokes and Navier-Stokes problems with zero velocity at infinity in a three-dimensional exterior domain (2000) (57)
Korn inequalities for elastic junctions of massive bodies, thin plates, and rods (2008) (56)
On the spectrum of the Steklov problem in a domain with a peak (2008) (55)
The asymptotics of the solution to the Neumann spectral problem in a domain of the “dense-comb” type (1997) (53)
The Augmented Scattering Matrix and Exponentially Decaying Solutions of an Elliptic Problem in a Cylindrical Domain (2002) (53)
Self-adjoint elliptic boundary-value problems. The polynomial property and formally positive operators (1998) (51)
Justification of the asymptotic theory of thin rods. Integral and pointwise estimates (1999) (50)
Korn's Inequalities for Junctions of Spatial Bodies and Thin Rods (1997) (49)
Self–adjoint Extensions for the Neumann Laplacian and Applications (2006) (47)
Spectral problems in singularly perturbed domains and selfadjoint extensions of differential operators (2000) (46)
Uniform Estimates of Remainders in Asymptotic Expansions of Solutions to the Problem on Eigenoscillations of a Piezoelectric Plate (2003) (45)
Opening of a gap in the continuous spectrum of a periodically perturbed waveguide (2010) (44)
Topological Derivatives for Semilinear Elliptic Equations (2009) (43)
Spectral stiff problems in domains surrounded by thin bands: Asymptotic and uniform estimates for eigenvalues (2006) (43)
Asymptotics of Solutions to General Elliptic Boundary Value Problems in Domains Perturbed Near Cone Vertices (2000) (42)
Vishik-Lyusternik method for elliptic boundary-value problems in regions with conical points. I. The problem in a cone (1981) (41)
Asymptotic structure of the spectrum of the Neumann problem in a thin comb-like domain (1994) (41)
Two-Term Asymptotics of Solutions of Spectral Problems with Singular Perturbations (1991) (40)
Asymptotic of the solution of a nonlinear equation in the neighborhood of an angular point of the boundary (1982) (39)
The Localization Effect for Eigenfunctions of the Mixed Boundary Value Problem in a Thin Cylinder with Distorted Ends (2009) (38)
Eigen-oscillations of contrasting non-homogeneous elastic bodies (2005) (38)
On the Solvability of the Stokes and Navier-Stokes Problems in the Domains That Are Layer-Like at Infinity (1999) (38)
Energy release caused by the kinking of a crack in a plane anisotropic solid (2002) (38)
Sufficient conditions on the existence of trapped modes in problems of the linear theory of surface waves (2010) (37)
Interaction of concentrated masses in a harmonically oscillating spatial body with Neumann boundary conditions (1993) (37)
A criterion for the existence of decaying solutions in the problem on a resonator with a cylindrical waveguide (2006) (35)
Enforced stability of an eigenvalue in the continuous spectrum of a waveguide with an obstacle (2012) (33)
The Topological Derivative of the Dirichlet Integral Under Formation of a Thin Ligament (2004) (33)
Discrete spectrum of cranked, branching, and periodic waveguides (2012) (32)
The Vishik-Lyusternik method for elliptic boundary-value problems in regions with conical points (1981) (32)
Junctions of singularly degenerating domains with different limit dimensions 1 (1996) (31)
Bounded solutions in a T-shaped waveguide and the spectral properties of the Dirichlet ladder (2014) (31)
On eigenfunctions localized in a neighborhood of the lateral surface of a thin domain (2000) (30)
Asymptotic Analysis, Polarization Matrices, and Topological Derivatives for Piezoelectric Materials with Small Voids (2009) (30)
Polarization matrices in anisotropic heterogeneous elasticity (2010) (30)
Spectral problems in the shape optimisation. Singular boundary perturbations (2008) (30)
On steady compressible Navier-Stokes equations in plane domains with corners (1996) (29)
The Asymptotic Properties of the Solution to the Stokes Problem in Domains That Are Layer-Like at Infinity (1999) (28)
The spectrum of the elasticity problem for a spiked body (2008) (28)
Asymptotic Analysis and Modeling of the Jointing of a Massive Body with Thin Rods (2005) (28)
On essential and continuous spectra of the linearized water-wave problem in a finite pond (2010) (26)
Trapped modes in a T-shaped waveguide (2010) (26)
Wood's anomalies and surface waves in the problem of scattering by a periodic boundary. II (1999) (25)
One-dimensional equations of deformation of thin slightly curved rods. Asymptotical analysis and justification (2000) (25)
Self adjoint extensions of differential operators in application to shape optimization (2003) (25)
Asymptotics of Eigenvalues of a Plate with Small Clamped Zone (2001) (25)
Asymptotics for the spectrum of the Wentzell problem with a small parameter and other related stiff problems (2006) (25)
Almost standing waves in a periodic waveguide with resonator, and near-threshold eigenvalues (2017) (24)
The asymptotic analysis of gaps in the spectrum of a waveguide perturbed with a periodic family of small voids (2012) (24)
Obstacles in acoustic waveguides becoming “invisible” at given frequencies (2013) (24)
Steklov problems in perforated domains with a coefficient of indefinite sign (2012) (24)
The interface crack in anisotropic bodies. stress singularities and invariant integrals (1998) (24)
Trapped modes in a cylindrical elastic waveguide with a damping gasket (2008) (23)
On the asymptotics of the spectrum of a thin plate problem of elasticity (2000) (23)
Selfadjoint Extensions of the Dirichlet Problem Operator in Weighted Function Spaces (1990) (23)
Eigenvalues of the laplace operator with the neumann conditions at regular perturbed walls of a waveguide (2011) (22)
Estimating the convergence rate for eigenfrequencies of anisotropic plates with variable thickness (2002) (22)
Spectral gaps in the dirichlet and neumann problems on the plane perforated by a doubleperiodic family of circular holes (2012) (22)
Simple method for finding trapped modes in problems of the linear theory of surface waves (2009) (22)
Weighted Spaces with Detached Asymptotics in Application to the Navier-Stokes Equations (2000) (22)
Weighted korn inequalities in paraboloidal domains (1997) (22)
Trapped waves in a cranked waveguide with hard walls (2011) (21)
Eigenoscillations of a string with an additional mass (1988) (21)
The essential spectrum of boundary value problems for systems of differential equations in a bounded domain with a cusp (2009) (21)
Korn's Inequality for an Arbitrary System of Distorted Thin Rods (2002) (21)
Asymptotics of solutions of the Neumann problem in a domain with closely posed components of the boundary (2009) (20)
Artificial boundary conditions for finding surface waves in the problem of diffraction by a periodic boundary (2006) (20)
The spatial structure of the stress field in the neighbourhood of the corner point of a thin plate (1991) (19)
Asymptotic analysis of an arbitrary anisotropic plate of variable thickness (sloping shell) (2000) (19)
Artificial Boundary Conditions of Pressure Type for Viscous Flows in a System of Pipes (2007) (19)
On the two-dimensional aperture problem for Navier-Stokes equations (1996) (18)
Junction problem of shashlik (skewer) type (1993) (18)
Asymptotic behavior of spectral gaps in a regularly perturbed periodic waveguide (2013) (18)
Localization effects for eigenfunctions near to the edge of a thin domain (2002) (18)
Justification of the Kirchhoff hypotheses and error estimation for two-dimensional models of anisotropic and inhomogeneous plates, including laminated plates (2000) (18)
A generalized Green's formula for elliptic problems in domains with edges (1995) (18)
Weighted anisotropic Korn's inequality for a junction of a plate and a rod (2004) (18)
Neumann Laplacian on a domain with tangential components in the boundary (2008) (17)
Shape sensitivity analysis of eigenvalues revisited (2008) (17)
A one-dimensional model of viscous blood flow in an elastic vessel (2016) (17)
Stress intensity factors and crack deviation conditions in a brittle anisotropic solid (2005) (16)
Calculation of characteristics of trapped modes in T-shaped waveguides (2011) (15)
Homogenization of the Spectral Problem for Periodic Elliptic Operators with Sign-Changing Density Function (2011) (15)
Asymptotics of the solution of a dirichlet problem in an angular domain with a periodically changing boundary (1991) (15)
ASYMPTOTICS OF THE SOLUTION OF THE DIRICHLET PROBLEM FOR AN EQUATION WITH RAPIDLY OSCILLATING COEFFICIENTS IN A RECTANGLE (1992) (15)
Elasticity polarization tensor, surface enthalpy, and Eshelby theorem (2009) (15)
Gap in the essential spectrum of the Neumann problem for an elliptic system in a periodic domain (2009) (15)
The localization for eigenfunctions of the dirichlet problem in thin polyhedra near the vertices (2013) (15)
APPROXIMATION OF EXTERIOR PROBLEMS. OPTIMAL CONDITIONS FOR THE LAPLACIAN. (1996) (15)
Discrete Spectrum of Cross-Shaped Quantum Waveguides (2014) (15)
Asymptotics of solutions to Stokes and Navier-Stokes equations in domains with paraboloidal outlets to infinity (1998) (15)
Localization effect for Dirichlet eigenfunctions in thin non-smooth domains (2015) (15)
A curious instability phenomenon for a rounded corner in presence of a negative material (2013) (15)
Approximation of exterior boundary value problems for the Stokes system (1997) (15)
Junction problems of bee-on-ceiling type in the theory of anisotropic elasticity (1995) (14)
Modeling of a singularly perturbed spectral problem by means of self-adjoint extensions of the operators of the limit problems (2015) (14)
Asymptotics of an eigenvalue on the continuous spectrum of two quantum waveguides coupled through narrow windows (2013) (14)
Boundary Value Problems in Domains with Edges on the Boundary (2000) (14)
Asymptotic Analysis for a Mixed Boundary-Value Contact Problem (2001) (14)
QUIET FLOWS FOR STOKES AND NAVIER-STOKES PROBLEMS IN DOMAINS WITH CYLINDRICAL OUTLETS TO INFINITY (1999) (14)
Selfadjoint Extensions of the Neumann Laplacian in Domains with Cylindrical Outlets (1997) (14)
Asymptotics of eigenvalues of the Dirichlet problem in a skewed ℐ-shaped waveguide (2014) (14)
JUSTIFICATION OF ASYMPTOTIC EXPANSIONS OF THE EIGENVALUES OF NONSELFADJOINT SINGULARLY PERTURBED ELLIPTIC BOUNDARY VALUE PROBLEMS (1987) (14)
Elliptic boundary value problems in hybrid domains (2004) (14)
On three-dimensional effects near the vertex of a crack in a thin plate (1991) (13)
Korn’s Inequalities for Junctions of Elastic Bodies with Thin Plates (2005) (13)
Localized elastic fields in periodic waveguides with defects (2011) (13)
ELLIPTIC PROBLEMS WITH RADIATION CONDITIONS ON EDGES OF THE BOUNDARY (1994) (13)
ASYMPTOTICS OF THE SOLUTION OF A BOUNDARY VALUE PROBLEM IN A THIN CYLINDER WITH NONSMOOTH LATERAL SURFACE (1994) (13)
ASYMPTOTICS OF THE SOLUTION OF THE NEUMANN PROBLEM AT A POINT OF TANGENCY OF SMOOTH COMPONENTS OF THE BOUNDARY OF THE DOMAIN (1995) (13)
Thin elastic plates supported over small areas. II. Variational-asymptotic models (2016) (13)
Derivation of limiting equations for elliptic problems in thin domains using computers (1988) (13)
Affine Transforms of Three-Dimensional Anisotropic Media and Explicit Formulas for Fundamental Matrices (2006) (13)
On the Fredholm Property of the Stokes Operator in a Layer-Like Domain (2001) (13)
Asymptotics of solutions and modelling the problems of elasticity theory in domains with rapidly oscillating boundaries (2008) (13)
On the flow the water under a still stone (1995) (13)
Use of the energy criterion of fracture to determine the shape of a slightly curved crack (2006) (12)
Dirichlet problem in an angular domain with rapidly oscillating boundary: Modeling of the problem and asymptotics of the solution (2008) (12)
Incomplete comparison principle in problems about surface waves trapped by fixed and freely floating bodies (2011) (12)
Gaps and eigenfrequencies in the spectrum of a periodic acoustic waveguide (2013) (12)
Asymptotic expansions for eigenvalues of the Steklov problem in singularly perturbed domains (2015) (12)
Asymptotic analysis of problems on junctions of domains of different limit dimensions. A body pierced by a thin rod (1996) (12)
Asymptotic solution to the problem of an elastic body lying on several small supports (1994) (12)
Asymptotics of the solution to the Neumann problem in a thin domain with sharp edge (2007) (12)
On the accuracy of asymptotic approximations for longitudinal deformation of a thin plate (1996) (12)
Spectral properties of a thin layer with a doubly periodic family of thinning regions (2013) (11)
Full steady Stokes system in domains with cylindrical outlets (1999) (11)
Equilibrium of an elastic body pierced by horizontal thin elastic bars (1999) (11)
The quasistatic growth of a semi-infinite crack in a plane containing small defects (1991) (11)
On the spectrum of the Laplace operator on the infinite Dirichlet ladder (2012) (11)
Gap in the essential spectrum of an elliptic formally self-adjoint system of differential equations (2010) (11)
On singularities of the stress function at the corner points of the transverse cross-section of a twisted bar with a thin reinforcing layer (1983) (11)
Elastic waves localized near periodic sets of flaws (1999) (11)
Thin elastic plates supported over small areas. I. Korn's inequalities and boundary layers (2015) (11)
Non-self-adjoint elliptic problems with a polynomial property in domains possessing cylindrical outlets to infinity (2000) (11)
The pressure of a narrow ring-shaped punch on an elastic half-space (1996) (11)
Perturbations of solutions of the sinorini problem for a second-order scalar equation (1990) (10)
The discrete spectrum of cross-shaped waveguides (2017) (10)
Spectral stiff problems in domains surrounded by thin stiff and heavy bands: Local effects for eigenfunctions (2011) (10)
Nonlinear artificial boundary conditions for the Navier‐Stokes equations in an aperture domain (2004) (10)
Asymptotic model of interaction of blood flow with vein walls and the surrounding muscular tissue (2012) (10)
Selfadjoint Extensions for the Elasticity System in Shape Optimization (2004) (10)
ASYMPTOTICS OF SOLUTIONS OF THE DIRICHLET PROBLEM IN A DOMAIN WITH A TRUNCATED THIN TUBE (1983) (10)
On the rate of convergence for perforated plates with a small interior Dirichlet zone (2011) (10)
Asymptotics of solutions to the poisson problem in a perforated domain with corners (1997) (10)
“Absorption” effect for elastic waves by the beak-shaped boundary irregularity (2009) (9)
A modified nonlinear Reynolds equation for thin viscous flows in lubrication (2007) (9)
Approximation of smooth contours by polygonal ones. Paradoxes in problems for the Lame system (1997) (9)
Discrete spectrum of cranked quantum and elastic waveguides (2016) (9)
Neumann problem in a perforated layer (sieve) (2005) (9)
The asymptotic form of the stress-strain state near a spatial singularity of the boundary of the “beak tip” type☆ (1993) (9)
Asymptotics of negative eigenvalues of the Dirichlet problem with the density changing sign (2009) (9)
Steady flows of Jeffrey–Hamel type from the half-plane into an infinite channel. 2. Linearization on a symmetric solution (2001) (9)
Neumann problem in angular regions with periodic and parabolic perturbations of the boundary (2008) (9)
Structure of the spectrum of a net of quantum waveguides and bounded solutions of a model problem at the threshold (2014) (8)
Waves and Radiation Conditions in a Cuspidal Sharpening of Elastic Bodies (2018) (8)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: On the asymptotic behaviour of solutions of the Dirichlet problem in a domain with a thin tube excluded (1981) (8)
Concentrated masses problems for a spatial elastic body (1993) (8)
Reynolds type equation for a thin flow under intensive transverse percolation (2004) (8)
Asymptotic solution to the Signorini problem with small parts of the free boundary (1994) (8)
Estimates for the Second Order Derivatives of Eigenvectors in Thin Anisotropic Plates with Variable Thickness (2006) (8)
Saint-venant principle for paraboloidal elastic bodies (2000) (8)
Effects of Rayleigh Waves on the Essential Spectrum in Perturbed Doubly Periodic Elliptic Problems (2016) (8)
Asymptotic analysis of problems in junctions of domains of different limit dimension. An elastic body pierced by thin rods (2000) (8)
Asymptotic behavior of the eigenvalues of the Steklov problem on a junction of domains of different limiting dimensions (2012) (8)
Estimates for the accuracy of modelling boundary-value problems at the junction of domains with different limit dimensions (2004) (8)
ASYMPTOTICS OF SOLUTIONS TO THE NAVIER-STOKES EQUATIONS IN THE EXTERIOR OFA BOUNDED BODY (1999) (8)
Rayleigh waves in an elastic half-layer with partly jammed periodic boundary (2008) (8)
Asymptotic behavior of trapped modes in two-layer fluids (2013) (8)
The Navier―Stokes Problem in a Two-Dimensional Domain with Angular Outlets to Infinity (2002) (8)
The flexural rigidity of a thin plate reinforced with periodic systems of separated rods (2010) (8)
The interaction of cracks in brittle fracture. Force and energy approaches (2000) (7)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: The asymptotic behaviour of eigenvalues and eigenfunctions in problems on vibrations of a medium with singular perturbation of the density (1988) (7)
Gap detection in the spectrum of an elastic periodic waveguide with a free surface (2009) (7)
Localization near the corner point of the principal eigenfunction of the Dirichlet problem in a domain with thin edging (2011) (7)
Singularities of the gradient of the solution of the Neumann problem at the vertex of a cone (1987) (7)
Singular perturbations of curved boundaries in dimension three. The spectrum of the Neumann Laplacian (2010) (7)
The Eshelby Theorem and Application to the Optimization of an Elastic Patch (2012) (7)
Concentration of the point spectrum on the continuous one in problems of linear water-wave theory (2008) (7)
Korn Inequalities for a Reinforced Plate (2012) (7)
Asymptotically sharp uniform estimates in a scalar spectral stiff problem (2003) (7)
Asymptotics of the solution of the Steklov spectral problem in a domain with a blunted peak (2009) (7)
Asymptotic formula for an eigenvalue of the dirichlet problem in a cranked waveguide (2011) (7)
Boundary Layers and Boundary Hinge-Support Conditions for Thin Plates (2002) (7)
Asymptotic behaviour at infinity of three-dimensional steady viscoelastic flows (2002) (7)
Weighted Korn inequalities for thin-walled elastic structures ✩ (2006) (7)
A novel approach for detecting trapped surface waves in a canal with periodic underwater topography (2009) (7)
Asymptotic expansion of eigenvalues of the neumann problem in a domain with a thin bridge (1992) (7)
Asymptotic solution of the Signorini problem with an obstacle on a thin elongated set (1996) (7)
The Navier‐Stokes Problem in Thin or Long Tubes with Periodically Varying Cross‐Sections (2000) (7)
Artificial boundary conditions on polyhedral truncation surfaces for three-dimensional elasticity systems (2004) (7)
Asymptotics of the Stokes system solutions at a surfaces contact point (1991) (7)
Embedded eigenvalues of the Neumann problem in a strip with a box-shaped perturbation (2015) (7)
A crack at the interface of anisotropic bodies. Singularities of the elastic fields and a criterion for fracture when the crack surfaces are in contact (2005) (7)
Asymptotics of the frequencies of elastic waves trapped by a small crack in a cylindrical waveguide (2010) (7)
A gap in the continuous spectrum of an elastic waveguide (2008) (7)
On the spectrum of the Robin problem in a domain with a peak (2011) (6)
Artificial boundary conditions for Petrovsky systems of second order in exterior domains and in other domains of conical type (2004) (6)
Artificial Boundary Conditions for the Stokes and Navier–Stokes Equations in Domains that are Layer-Like at Infinity (2008) (6)
A quasistatic model of the evolution of an interface inside a deformed solid (2006) (6)
On asymptotic analysis of spectral problems in elasticity (2011) (6)
Comparison of the Griffith and Irwin Criteria for a Crack Asymmetrically Propagating in the Plane (2000) (6)
Trapped modes, surface waves and Wood's anomalies for gently sloped periodic boundaries (2000) (6)
An asymptotic study of a plate problem by a rearrangement method. Application to the mechanical impedance (1998) (6)
Korn's inequality for periodic solids and convergence rate of homogenization (2009) (6)
Examples of Plentiful Discrete Spectra in0 Infinite Spatial Cruciform Quantum Waveguides (2016) (6)
Transmission Conditions in One-Dimensional Model of a Rectangular Lattice of Thin Quantum Waveguides (2016) (5)
Asymptotic Modeling of a Piston with Completely Wetted Surface (2005) (5)
Asymptotic behavior of the solution of an elliptic boundary value problem in a thin domain (1993) (5)
Open waveguides in a thin Dirichlet lattice: II. localized waves and radiation conditions (2017) (5)
Spectra of Two-Dimensional Models for Thin Plates with Sharp Edges (2010) (5)
Quasistatic propagation of a mode-I crack in an elastic space (1992) (5)
Effective one-dimensional images of arterial trees in the cardiovascular system (2017) (5)
Modeling of Topology Variations in Elasticity (2003) (5)
Eigenoscillations of an elastic body with a rough surface (2007) (5)
Asymptotically exact joining conditions at the junction of plates with very different characteristics (1998) (5)
Thin elastic coatings and surface enthalpy (2007) (5)
Crack propagation in anisotropic composite structures (2014) (5)
Optimal results for the Brezzi-Pitkäranta approximation of viscous flow problems (2004) (5)
Self-adjoint extensions of differential operators and exterior topological derivatives in shape optimization (2005) (5)
A body traps as many water-wave modes in a symmetric channel as it wishes (2011) (5)
Linearised theory for surface and interfacial waves interacting with freely floating bodies in a two-layer fluid (2015) (5)
Waves trapped by a thin curved screen in a waveguide with rigid walls (2012) (5)
Various Manifestations of Wood Anomalies in Locally Distorted Quantum Waveguides (2018) (4)
Nonreflection and trapping of elastic waves in a slightly curved isotropic strip (2014) (4)
Localization of surface waves by small perturbations of the boundary of a semisubmerged body (2012) (4)
Asymptotic analysis of 3D thin anisotropic plates with a piezoelectric patch (2012) (4)
Homogenization of the mixed boundary-value problem for a formally selfadjoint elliptic system in a periodically punched domain (2010) (4)
Transmission of Waves Through a Small Aperture in the Cross-Wall in an Acoustic Waveguide (2018) (4)
Branching periodicity: Homogenization of the Dirichlet problem for an elliptic system (2004) (4)
Spectral Anomalies of the Robin Laplacian in Non-Lipschitz Domains (2013) (4)
Eigenoscillations of a strongly inhomogeneous elastic body: Asymptotics and uniform estimates of remainders (2003) (4)
Deformation of elastic bodies with thin ligaments (1992) (4)
Surface enthalpy (2008) (4)
Crack growth direction according to the Novozhilov criterion (2004) (4)
Gap opening in the essential spectrum of the elasticity theory problem in a periodic half-layer (2010) (4)
Asymptotic behaviour of stress-strain state in the vicinity of sharp defects in an elastic body (1992) (4)
Transmission eigenvalues and far field invisibility for a finite number of incident/scattering directions (2014) (4)
Enhancement and Smoothing of Near-Threshold Wood Anomalies in an Acoustic Waveguide (2018) (4)
Near-threshold effects of the scattering of waves in a distorted elastic two-dimensional waveguide☆ (2015) (4)
ASYMPTOTICS OF THE SOLUTION OF THE NONLINEAR DIRICHLET PROBLEM HAVING A STRONG SINGULARITY NEAR A CORNER POINT (1985) (4)
Three-dimensional formulation of the Novozhilov criterion for mode I cracks (2005) (4)
Stress intensity factors for parallel cracks lying close together in a plane region (1990) (4)
Notes to the proof of a weighted Korn inequality for an elastic body with peak-shaped cusps (2012) (4)
The eigenfrequencies of a slightly curved isotropic strip clamped between absolutely rigid profiles (2014) (4)
Fracture of a narrow bridge between cracks lying in the same plane (1991) (4)
Localization of elastic oscillations in cross-shaped planar orthotropic waveguides (2014) (4)
Asymptotic behaviour of solutions of boundary-value problems for equations with rapidly oscillating coefficients in a domain with a small cavity (1998) (4)
Spectra of three-dimensional cruciform and lattice quantum waveguides (2015) (4)
Elliptic Boundary Value Problems with Rapidly Oscillating Coefficients (2000) (4)
On the asymptotics and stability of the point spectrum of a waveguide with thin shielding obstacle (2011) (4)
A one-dimensional model of a false aneurysm (2017) (4)
Open waveguides in a thin Dirichlet ladder: I. Asymptotic structure of the spectrum (2017) (3)
The asymptotic form of the stressed state near a three-dimensional boundary singularity of the "claw" type † (1999) (3)
Asymptotic formulas for trapped modes and for eigenvalues below the threshold of the continuous spectrum of a waveguide with a thin screening barrier (2012) (3)
The Eshelby theorem and patch optimization problem (2010) (3)
Asymptotics at infinity of solutions to the Neumann problem in a sieve-type layer (2003) (3)
Spin-orbit transformation of Bessel light beams by electrically controlled liquid-crystal elements (2018) (3)
Scheme for interpretation of approximately computed eigenvalues embedded in a continuous spectrum (2013) (3)
The operator of a boundary value problem with Chaplygin-Zhukovskii-Kutta type conditions on an edge of the boundary has the fredholm property (1997) (3)
On correct formulations of lekhnitskii problems (1986) (3)
The influence of small surface irregularities on the stress state of a body and the energy balance for a growing crack (1991) (3)
The errors due to approximating unbounded elastic bodies by bounded ones (1998) (3)
Scenarios for the quasistatic growth of a slightly curved and kinked crack (2008) (3)
Cracks in composite materials. 1. Semi-infinite crack in an elastic plane with an orthotropic composite strip (1991) (3)
Vishik-Lyusternik method for elliptic boundary-value problems in domains with conical points. III. Problem with degeneracy at a conical point (1984) (3)
Strange Behavior of Natural Oscillations of an Elastic Body with a Blunted Peak (2019) (3)
Nonreflecting distortions of an isotropic strip clamped between rigid punches (2013) (3)
Gap in a continuous spectrum of an elastic waveguide with a partly clamped surface (2010) (3)
Selfadjoint extensions of the operator of the Dirichlet problem in a 3-dimensional region with an edge (2009) (3)
Modeling of Cracks with Nonlinear Effects at the Tip Zones and the Generalized Energy Criterion (2011) (3)
Griffith formula for a crack in a piezoelectric body (2004) (3)
Opening gaps in the spectrum of the water-wave problem in a periodic channel (2010) (3)
On the Neumann Problem in Domains with Edges (1992) (3)
Trapped surface waves in a periodic layer of a heavy liquid (2011) (3)
About singularities at angular points of a trailing edge under the Joukowskii-Kutta Condition (1998) (3)
On the 3D formulation for the novozhilov criterion for quasi-static fracture (2006) (3)
Asymptotics of solutions to the spectral elasticity problem for a spatial body with a thin coupler (2012) (3)
Asymptotically sharp weight Korn’s inequality for thin-walled elastic structures (2008) (3)
Localization Estimates for Eigenfrequencies of Waves Trapped by a Freely Floating Body in a Channel (2013) (3)
Transmission Conditions in a One-Dimensional Model of Bifurcating Arteries with Elastic Walls (2017) (3)
Asymptotic analysis and polarization matrices (2009) (3)
Singular perturbations in shape optimization for the Dirichlet Laplacian (2005) (3)
Asymptotics near the tip of a crack of the state of stress and strain of inhomogeneously aging bodies (1983) (3)
A boundary-value problem for the biharmonic equation and the iterated Laplacian in a 3D-domain with an edge (2007) (3)
Bound states of waveguides with two right-angled bends (2015) (3)
Rectangular lattices of cylindrical quantum waveguides. I. Spectral problems on a finite cross (2018) (2)
An improved nonlinear Reynolds equation for a thin flow of a viscous incompressible fluid (2008) (2)
Approximation of Thin Three-Dimensional Plates with Smooth Lateral Surface by Polygonal Plates (2015) (2)
An asymptotic model of the Griffith criterion under small kinking and curving of a crack (2006) (2)
Three-dimensional effects at plate crack tips (1992) (2)
Gaps in the spectrum of the neumann problem on a perforated plane (2012) (2)
Homogenization of Kirchhoff plates joined by rivets which are modeled by the Sobolev point conditions (2021) (2)
Cracks with smoothly closing edges under plane deformation (1987) (2)
ASYMPTOTIC SOLUTION OF VARIATIONAL INEQUALITIES FOR A LINEAR OPERATOR WITH A SMALL PARAMETER ON THE HIGHEST DERIVATIVES (1991) (2)
Finite-Dimensional Approximations of the Steklov–Poincaré Operator for the Helmholtz Equation in Periodic Waveguides (2018) (2)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: On the Noether property and asymptotic solutions of elliptic boundary-value problems with periodic coefficients in a cylinder (1981) (2)
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Spectral Problems in Elasticity. Singular Boundary Perturbations (2008) (1)
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