Search Results - "Nazarov, Sergei A."

Exact zero transmission during the Fano resonance phenomenon in non-symmetric waveguides by Chesnel, Lucas, Nazarov, Sergei A.

“…We investigate a time-harmonic wave problem in a waveguide. We work at low frequency so that only one mode can propagate. It is known that the scattering…”
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Band-gap structure of the spectrum of the water-wave problem in a shallow canal with a periodic family of deep pools by Nazarov, Sergei A., Taskinen, Jari

“…We consider the linear water-wave problem in a periodic channel Π h ⊂ R 3 , which is shallow except for a periodic array of deep potholes in it. Motivated by…”
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INVISIBILITY AND PERFECT REFLECTIVITY IN WAVEGUIDES WITH FINITE LENGTH BRANCHES by CHESNEL, LUCAS, NAZAROV, SERGEI A., PAGNEUX, VINCENT

“…We consider a time-harmonic wave problem, appearing, for example, in water-wave theory, in acoustics, or in electromagnetism, in a setting such that the…”
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Curved channels with constant cross sections may support trapped surface waves by Nazarov, Sergei A., Ruotsalainen, Keijo M.

“…Curved channels with constant cross sections are constructed which support a trapped surface wave. Since corresponding eigenvalues are embedded in the…”
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Acoustic passive cloaking using thin outer resonators by Chesnel, Lucas, Heleine, Jérémy, Nazarov, Sergei A.

“…We consider the propagation of acoustic waves in a 2D waveguide unbounded in one direction and containing a compact obstacle. The wavenumber is fixed so that…”
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Spectral gaps for the linear water‐wave problem in a channel with thin structures by Cancedda, Andrea, Chiadó Piat, Valeria, Nazarov, Sergei A., Taskinen, Jari

“…We consider the linear water‐wave problem in a periodic channel Πh⊂R2$\Pi ^h \subset {\mathbb {R}}^2$, which consists of infinitely many identical containers…”
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Asymptotic stability of the spectrum of a parametric family of homogenization problems associated with a perforated waveguide by Gómez, Delfina, Nazarov, Sergei A., Orive‐Illera, Rafael, Pérez‐Martínez, María‐Eugenia

“…In this paper, we provide uniform bounds for convergence rates of the low frequencies of a parametric family of problems for the Laplace operator posed on a…”
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Asymptotics for Spectral Problems with Rapidly Alternating Boundary Conditions on a Strainer Winkler Foundation by Gómez, Delfina, Nazarov, Sergei A., Pérez-Martínez, María-Eugenia

“…We consider a spectral homogenization problem for the linear elasticity system posed in a domain Ω of the upper half-space R 3 + , a part of its boundary Σ…”
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Spectral gaps for periodic piezoelectric waveguides by Nazarov, Sergei A., Taskinen, Jari

“…We construct a family of periodic piezoelectric waveguides Π ɛ , depending on a small geometrical parameter, with the following property: as ɛ → +0, the number…”
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Small obstacle asymptotics for a 2D semi-linear convex problem by Chesnel, Lucas, Claeys, Xavier, Nazarov, Sergei A.

“…We study a 2D semi-linear equation in a domain with a small Dirichlet obstacle of size . Using the method of matched asymptotic expansions, we compute an…”
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On multi-scale asymptotic structure of eigenfunctions in a boundary value problem with concentrated masses near the boundary by Nazarov, Sergei A., Pérez, M. Eugenia

“…We construct two-term asymptotics λ k ε = ε m - 2 ( M + ε μ k + O ( ε 3 / 2 ) ) of eigenvalues of a mixed boundary-value problem in Ω ⊂ R 2 with many heavy ( m…”
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Asymptotic analysis of a bit brace shaped junction of thin rods by Leugering, Günter, Nazarov, Sergei A., Slutskij, Andrey S., Taskinen, Jari

“…We present a 1‐D model of a junction of five thin elastic rods forming the shape of a bit brace (hand drill), or, a crankshaft. The distinguishing feature of…”
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Stabilizing solutions at thresholds of the continuous spectrum and anomalous transmission of waves by Korolkov, A. I., Nazarov, Sergei A., Shanin, A. V.

“…A problem of scattering by a resonator connecting two 2D waveguides is studied. The incident wave is one of the waveguide modes taken at the spectral parameter…”
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Trapped Modes in Piezoelectric and Elastic Waveguides by Nazarov, Sergei A., Ruotsalainen, Keijo M., Silvola, Minna

“…We derive a sufficient condition for the existence of trapped modes in a cylindrical piezoelectric waveguide Ω with a compact void Θ . An infinite part Γ D of…”
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Spectrum of the Laplacian with mixed boundary conditions in a chamfered quarter of layer by Chesnel, Lucas, Nazarov, Sergei A., Taskinen, Jari

“…We investigate the spectrum of a Laplace operator with mixed boundary conditions in an unbounded chamfered quarter of layer. This problem arises in the study…”
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Spectrum of the Laplacian with mixed boundary conditions in a chamfered quarter of layer by Chesnel, Lucas, Nazarov, Sergei A., Taskinen, Jari

“…We investigate the spectrum of a Laplace operator with mixed boundary conditions in an unbounded chamfered quarter of layer. This problem arises in the study…”
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Abnormal acoustic transmission in a waveguide with perforated screens by Chesnel, Lucas, Nazarov, Sergei A.

“…We consider the propagation of the piston mode in an acoustic waveguide obstructed by two screens with small holes. In general, due to the features of the…”
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Localization effects for Dirichlet problems in domains surrounded by thin stiff and heavy bands by Gómez, Delfina, Nazarov, Sergei A., Pérez-Martínez, Maria-Eugenia

“…We consider a Dirichlet spectral problem for a second order differential operator, with piecewise constant coefficients, in a domain Ωε in the plane R2. Here…”
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Spectrum of a diffusion operator with coefficient changing sign over a small inclusion by Chesnel, Lucas, Claeys, Xavier, Nazarov, Sergei A.

“…We study a spectral problem ( P δ ) for a diffusion-like equation in a 3D domain Ω . The main originality lies in the presence of a parameter σ δ , whose sign…”
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Modeling of Fluid Flow in a Flexible Vessel with Elastic Walls by Kozlov, Vladimir, Nazarov, Sergei, Zavorokhin, German

“…We exploit a two-dimensional model (Ghosh et al. in Q J Mech Appl Math 71(3):349–367, 2018; Kozlov and Nazarov in Dokl Phys 56(11):560–566, 2011, J Math Sci…”
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