Sergueï A. Nazarov
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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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(Suggest an Edit or Addition)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)
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- Artificial boundary conditions for the exterior spatial Navier–Stokes problem (2000) (2)
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- Dirichlet and Neumann Problems in Domains with Singularly Perturbed Boundaries (2000) (1)
- Asymptotic Expansions of Eigenvalues of Classic Boundary Value Problems (2000) (1)
- Asymptotic behavior of solutions to problems of elasticity theory at infinity in flat parabolic domains (1996) (1)
- Spectral Stiff Problems in Domains with a Strongly Oscillating Boundary (2011) (1)
- The Dirichlet Problem in Domains with Thin Ligaments (2000) (1)
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- ASYMPTOTIC SOLUTION OF A VARIATIONAL INEQUALITY MODELING FRICTION (1991) (1)
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- Spectral Problems in Elasticity. Singular Boundary Perturbations (2008) (1)
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