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Shamaev Aleksey Stanislavovich

Publications in Math-Net.Ru

  1. On the existence of a wave front in the Cauchy problem for the Gurtin–Pipkin equation

    Mat. Zametki, 116:4 (2024),  636–640
  2. Homogenization of motion equations for medium consisting of elastic material and incompessible Kelvin-Voigt fluid

    Ufimsk. Mat. Zh., 16:1 (2024),  99–110
  3. Controllability to Rest for the “Plate Oscillation” Equation on the Torus in the Case of Local Force Action

    Mat. Zametki, 113:4 (2023),  618–621
  4. Mathematical model of the wastewater treatment process using biofilm

    Sib. Zh. Ind. Mat., 26:2 (2023),  25–36
  5. Effective acoustic equations for a layered material described by the fractional Kelvin–Voigt model

    J. Sib. Fed. Univ. Math. Phys., 14:3 (2021),  351–359
  6. Spectrum of one-dimensional natural vibrations of layered medium consisting of elastic material and viscous incompressible fluid

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 4,  53–57
  7. Simulation of influence of the surface disturbance on the ocean self radiation spectrum

    Program Systems: Theory and Applications, 7:2 (2016),  73–84
  8. Homogenization of the equations of state for a heterogeneous layered medium consisting of two creep materials

    Trudy Mat. Inst. Steklova, 295 (2016),  229–240
  9. Asymptotic behavior of the spectrum of one-dimensional vibrations in a layered medium consisting of elastic and Kelvin–Voigt viscoelastic materials

    Trudy Mat. Inst. Steklova, 295 (2016),  218–228
  10. A local perturbation method for the approximate calculation of the acoustic wave diffraction with impedance interface conditions

    Trudy Mat. Inst. Steklova, 295 (2016),  184–194
  11. Some problems of distributed and boundary control for systems with integral aftereffect

    Tr. Semim. im. I. G. Petrovskogo, 31 (2016),  134–157
  12. Homogenization of acoustic equations for a partially perforated elastic material with slightly viscous fluid

    J. Sib. Fed. Univ. Math. Phys., 8:3 (2015),  356–370
  13. Scientific heritage of Vladimir Mikhailovich Millionshchikov

    Tr. Semim. im. I. G. Petrovskogo, 30 (2014),  5–41
  14. On the problem of precise control of the system obeying the delay string equation

    Avtomat. i Telemekh., 2013, no. 11,  49–61
  15. О спектре одномерных колебаний в среде из слоев упругого материала и вязкоупругого материала Кельвина–Фойгта

    Zh. Vychisl. Mat. Mat. Fiz., 53:2 (2013),  282–290
  16. Analysis of operator models arising in problems of hereditary mechanics

    CMFD, 45 (2012),  43–61
  17. On the spectrum of one-dimensional oscillations of a laminated composite with components of elastic and viscoelastic materials

    Sib. Zh. Ind. Mat., 15:4 (2012),  124–134
  18. Spectral analysis and correct solvability of abstract integrodifferential equations arising in thermophysics and acoustics

    CMFD, 39 (2011),  36–65
  19. Some problems in acoustics of emulsions

    Tr. Semim. im. I. G. Petrovskogo, 28 (2011),  114–146
  20. Spectral properties of some problems in mechanics of strongly inhomogeneous media

    CMFD, 17 (2006),  88–109
  21. On the averaging of solutions of a boundary value problem for the Laplace equation in a partially punctured domain with Dirichlet boundary conditions on the boundary of cavities

    Dokl. Akad. Nauk, 337:2 (1994),  168–171
  22. On the averaging problem for the Laplace equation in a partially perforated domain

    Dokl. Akad. Nauk, 333:4 (1993),  424–427
  23. Diffraction of a plane wave by a rapidly-oscillating surface

    Zh. Vychisl. Mat. Mat. Fiz., 32:8 (1992),  1258–1272
  24. Comparison of two-numerical methods for solving the problem of the diffraction of an $E$-polarized plane wave by an ideally conducting periodic surface

    Zh. Vychisl. Mat. Mat. Fiz., 30:5 (1990),  697–704
  25. On the limiting behaviour of the spectrum of a sequence of operators defined on different Hilbert spaces

    Uspekhi Mat. Nauk, 44:3(267) (1989),  157–158
  26. Averaging of solutions of the Neumann problem for a second-order elliptic equation and systems in elasticity theory with rapidly oscillating periodic coefficients on a perforated domain

    Uspekhi Mat. Nauk, 42:6(258) (1987),  195–196
  27. On the eigenvalues of boundary value problems for the system of elasticity theory with rapidly oscillating coefficients in a perforated domain

    Mat. Sb. (N.S.), 132(174):4 (1987),  517–530
  28. Averaging elliptic equations that describe processes in stratified media

    Uspekhi Mat. Nauk, 41:3(249) (1986),  185–186
  29. Asymptotic expansion of solutions of the Dirichlet problem for elliptic equations and systems for the theory of elasticity in a perforated domain

    Dokl. Akad. Nauk SSSR, 284:5 (1985),  1062–1066
  30. Asymptotic expansion of eigenvalues and eigenfunctions of the Sturm–Liouville problem with rapidly oscillating coefficients

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1985, no. 6,  37–46
  31. Evolution equations for slow variables in the theory of singularly perturbed systems

    Dokl. Akad. Nauk SSSR, 277:2 (1984),  315–318
  32. Convergence of the energy, stress tensors, and frequencies of natural oscillations in averaging problems arising in elasticity theory

    Dokl. Akad. Nauk SSSR, 274:6 (1984),  1329–1333
  33. Averaging of eigenvalues of a boundary value problem of elasticity theory with rapidly oscillating periodic coefficients

    Sibirsk. Mat. Zh., 24:5 (1983),  50–58
  34. Averaging of eigenvalues and eigenfunctions of a boundary value problem of elasticity theory in a perforated domain

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 4,  53–63
  35. Averaging of solutions and eigenvalues for boundary-value problems for elliptic equations in perforated domains

    Uspekhi Mat. Nauk, 37:2(224) (1982),  243–244
  36. Spectral problems in the theory of averaging and $G$-convergence

    Dokl. Akad. Nauk SSSR, 259:2 (1981),  294–299
  37. On the behaviour of solutions of differential equations in a half-strip

    Uspekhi Mat. Nauk, 35:1(211) (1980),  219–220

  38. К 70-летию Валерия Васильевича Козлова

    Tr. Semim. im. I. G. Petrovskogo, 33 (2023),  3–7
  39. Vasilii Vasil'evich Zhikov (obituary)

    Uspekhi Mat. Nauk, 73:3(441) (2018),  169–176
  40. Vladimir Alexandrovich Kondratiev. July 2, 1935 – March 11, 2010

    CMFD, 39 (2011),  5–10
  41. Olga Arsenjevna Oleinik

    Tr. Semim. im. I. G. Petrovskogo, 28 (2011),  5–7
  42. To memory of Vladimir Mikhailovich Millionshchikov

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 2,  71–72
  43. Vladimir Alexandrovich Kondratiev on the 70th anniversary of his birth

    Tr. Semim. im. I. G. Petrovskogo, 26 (2007),  5–28
  44. Vladimir Aleksandrovich Kondrat'ev (A Tribute in Honor of His 70th Birthday)

    Differ. Uravn., 41:7 (2005),  867–873
  45. Vladimir Aleksandrovich Kondrat'ev

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, no. 5,  77–79
  46. Ol'ga Arsen'evna Oleinik (obituary)

    Uspekhi Mat. Nauk, 58:1(349) (2003),  165–174

© Steklov Math. Inst. of RAS, 2024