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Found 82 Documents (Results 1–82)

Parasitic eigenvalues of spectral problems for the Laplacian with third-type boundary conditions. (English. Russian original) Zbl 07752258

Comput. Math. Math. Phys. 63, No. 7, 1237-1253 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 7, 1128-1144 (2023).
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“Far-field interaction” of concentrated masses in two-dimensional Neumann and Dirichlet problems. (English. Russian original) Zbl 07733650

Izv. Math. 87, No. 1, 61-112 (2023); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 1, 65-118 (2023).
MSC:  74H45 49R50 35P10 35P20 74G70
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Asymptotics of the spectrum of the mixed boundary value problem for the Laplace operator in a thin spindle-shaped domain. (English. Russian original) Zbl 1485.35310

St. Petersbg. Math. J. 33, No. 2, 283-325 (2022); translation from Algebra Anal. 33, No. 2, 136-196 (2021).
MSC:  35P20 35B25 35J25
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Almost complete transmission of waves through perforated cross-walls in a waveguide with Dirichlet boundary condition. (English. Russian original) Zbl 1462.35378

Sib. Math. J. 62, No. 2, 272-291 (2021); translation from Sib. Mat. Zh. 62, No. 2, 339-361 (2021).
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Asymptotics of eigenvalues in spectral gaps of periodic waveguides with small singular perturbations. (English. Russian original) Zbl 1437.35518

J. Math. Sci., New York 243, No. 5, 746-773 (2019); translation from Zap. Nauchn. Semin. POMI 471, 168-210 (2018).
MSC:  35P20
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Various manifestations of wood anomalies in locally distorted quantum waveguides. (English. Russian original) Zbl 1421.78020

Comput. Math. Math. Phys. 58, No. 11, 1838-1855 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 11, 1911-1931 (2018).
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Open waveguides in a thin Dirichlet ladder. I: Asymptotic structure of the spectrum. (English. Russian original) Zbl 1367.81065

Comput. Math. Math. Phys. 57, No. 1, 156-174 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 1, 144-162 (2017).
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Asymptotics of the eigenvalues of boundary value problems for the Laplace operator in a three-dimensional domain with a thin closed tube. (English. Russian original) Zbl 1336.35267

Trans. Mosc. Math. Soc. 2015, 1-53 (2015); translation from Tr. Mosk. Mat. O.-va 76, No. 1, 1-66 (2015).
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Eigenmodes of a thin elastic layer between periodic rigid profiles. (English. Russian original) Zbl 1336.74028

Comput. Math. Math. Phys. 55, No. 10, 1684-1697 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 10, 1713-1726 (2015).
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Properties of the spectrum in the John problem on a freely floating submerged body in a finite basin. (English. Russian original) Zbl 1294.35110

Differ. Equ. 49, No. 12, 1544-1559 (2013); translation from Differ. Uravn. 49, No. 12, 1591-1606 (2013).
MSC:  35Q35 76B15 35P20
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Asymptotics of solutions and modeling of the von Karman equations in a singularly perturbed domain. (English. Russian original) Zbl 1294.35162

J. Math. Sci., New York 173, No. 5, 571-608 (2011); translation from Probl. Mat. Anal. 54, 113-143 (2011).
MSC:  35Q74 35B40 74K20
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An improved nonlinear Reynolds equation for a thin flow of a viscous incompressible fluid. (English. Russian original) Zbl 1152.76013

Vestn. St. Petersbg. Univ., Math. 41, No. 2, 171-175 (2008); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2008, No. 2, 97-102 (2008).
MSC:  76A20 76D05 76M45
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Dirichlet problem in an angular domain with rapidly oscillating boundary: Modeling of the problem and asymptotics of the solution. (English. Russian original) Zbl 1156.35012

St. Petersbg. Math. J. 19, No. 2, 297-326 (2008); translation from Algebra Anal. 19, No. 2, 183-225 (2007).
MSC:  35B40 35J25
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Asymptotics of solutions and modelling the problems of elasticity theory in domains with rapidly oscillating boundaries. (English. Russian original) Zbl 1159.35071

Izv. Math. 72, No. 3, 509-564 (2008); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 72, No. 3, 103-158 (2008).
MSC:  35Q72 74B05 35B40 35C20
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Estimates for second order derivatives of eigenvectors in thin anisotropic plates with variable thickness. (Russian, English) Zbl 1087.35090

J. Math. Sci., New York 132, No. 1, 91-102 (2006); translation from Zap. Nauchn. Semin. POMI 308, 161-181, 254-255 (2004).
MSC:  35Q72 35B45 35P20 74G99 74K20
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Asymptotics of solutions to the Navier-Stokes equations in the exterior of a bounded body. (English. Russian original) Zbl 0961.35103

Dokl. Math. 60, No. 1, 133-135 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 367, No. 4, 461-463 (1999).
MSC:  35Q30 76D05
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Approximation of unbounded domains by bounded domains. Boundary value problems for the Lamé operator. (English. Russian original) Zbl 0888.35006

St. Petersbg. Math. J. 8, No. 5, 879-912 (1997); translation from Algebra Anal. 8, No. 5, 239-268 (1996).
MSC:  35A35 35J25
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Asymptotics of the energy integrals for problems with small parameter at higher derivatives. (English. Russian original) Zbl 0833.35009

Russ. Math. 37, No. 1, 10-15 (1993); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1993, No. 1, 12-16 (1993).
MSC:  35B25 35B40 35J40
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The asymptotic structure of the spectrum in the problem of harmonic oscillations of a hub with heavy spokes. (English. Russian original) Zbl 0827.35093

Russ. Acad. Sci., Dokl., Math. 48, No. 3, 428-432 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 333, No. 1, 13-15 (1993).
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The asymptotic behavior of energy integrals under small perturbations of the boundary near corner points and conical points. (English. Russian original) Zbl 0699.35072

Trans. Mosc. Math. Soc. 1988, 77-127 (1988); translation from Tr. Mosk. Mat. O.-va 50, 79-129 (1987).
MSC:  35J55 35B20 35B40 35B65 74R05
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Asymptotics at infinity for a solution of the von Neumann problem with conjugate conditions in an angle. (English. Russian original) Zbl 0552.35024

Sov. Math. 28, No. 1, 19-27 (1984); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1984, No. 1(260), 18-25 (1984).
Reviewer: S.L’vin
MSC:  35J25 35R05 35C20
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