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Babenko Konstantin Ivanovich

Publications in Math-Net.Ru

  1. On the mean convergence of multiple Fourier series and the asymptotics of the Dirichlet kernel of spherical means

    Eurasian Math. J., 9:4 (2018),  22–60
  2. Mathematical modelling of turbulence in viscous incompressible flows

    Matem. Mod., 1:8 (1989),  45–74
  3. On a demonstrative experiment in the theory of surface waves of finite amplitude

    Dokl. Akad. Nauk SSSR, 303:5 (1988),  1033–1037
  4. A computational experiment in the theory of surface waves of finite amplitude

    Dokl. Akad. Nauk SSSR, 302:4 (1988),  781–785
  5. Hopf bifurcation in some problems with symmetry

    Dokl. Akad. Nauk SSSR, 300:1 (1988),  14–19
  6. Stability of viscous incompressible fluid flows on a plane torus

    Dokl. Akad. Nauk SSSR, 295:1 (1987),  51–55
  7. A local existence theorem in the theory of surface waves of finite amplitude

    Dokl. Akad. Nauk SSSR, 294:6 (1987),  1289–1292
  8. Some remarks on the theory of surface waves of finite amplitude

    Dokl. Akad. Nauk SSSR, 294:5 (1987),  1033–1037
  9. The Tricomi problem

    Dokl. Akad. Nauk SSSR, 291:1 (1986),  14–19
  10. Properties of solutions of the Tricomi problem for the Euler–Tricomi equation

    Dokl. Akad. Nauk SSSR, 288:5 (1986),  1033–1038
  11. Bifurcations in the presence of a group of symmetries and the loss of stability of some two-dimensional flows of a viscous fluid

    Dokl. Akad. Nauk SSSR, 288:4 (1986),  783–788
  12. Toeplitz and Hankel matrices

    Uspekhi Mat. Nauk, 41:1(247) (1986),  171–178
  13. The maximum principle for the Euler–Tricomi equation

    Dokl. Akad. Nauk SSSR, 285:4 (1985),  777–782
  14. Loss of stability of Couette flow at different Rossby numbers

    Dokl. Akad. Nauk SSSR, 281:3 (1985),  548–551
  15. On computational proofs and mathematical experiments on computers

    Uspekhi Mat. Nauk, 40:4(244) (1985),  137–138
  16. Some problems in approximation theory and numerical analysis

    Uspekhi Mat. Nauk, 40:1(241) (1985),  3–27
  17. Stability of Taylor vortices

    Dokl. Akad. Nauk SSSR, 278:4 (1984),  828–833
  18. Demonstrative calculations in the problem of existence of the solution of the doubling equation

    Dokl. Akad. Nauk SSSR, 277:2 (1984),  265–269
  19. Demonstrative computations in the problem of the stability of a plane Poiseuille flow

    Dokl. Akad. Nauk SSSR, 273:6 (1983),  1289–1294
  20. Bifurcation of Couette flow between rotating cylinders in the case of a double eigenvalue

    Dokl. Akad. Nauk SSSR, 266:1 (1982),  73–78
  21. On the asymptotics of the eigenvalues of the linearized Navier–Stokes equations

    Dokl. Akad. Nauk SSSR, 263:3 (1982),  521–525
  22. On periodic solutions of the problem of flow of a viscous fluid past a body

    Dokl. Akad. Nauk SSSR, 262:6 (1982),  1293–1298
  23. Spectrum of the linearized problem of flow of a viscous incompressible liquid round a body

    Dokl. Akad. Nauk SSSR, 262:1 (1982),  64–68
  24. Numerical study of the Rayleigh–Taylor instability

    Dokl. Akad. Nauk SSSR, 255:2 (1980),  318–322
  25. On the bifurcation of solutions of Navier–Stokes equations

    Dokl. Akad. Nauk SSSR, 254:6 (1980),  1384–1387
  26. The possibility of initiation of self-oscillatory regimes in two-dimensional Couette flow

    Dokl. Akad. Nauk SSSR, 252:1 (1980),  65–68
  27. Shape of the surface of a capillary liquid in a vertical cylinder of arbitrary cross section

    Dokl. Akad. Nauk SSSR, 251:6 (1980),  1326–1330
  28. The Rayleigh–Taylor instability

    Dokl. Akad. Nauk SSSR, 245:3 (1979),  551–554
  29. On a numerical algorithm for solving an eigenvalue problem for linear differential operators

    Dokl. Akad. Nauk SSSR, 244:5 (1979),  1049–1053
  30. On the asymptotics of the Dirichlet kernel of spherical means of multiple Fourier series

    Dokl. Akad. Nauk SSSR, 243:5 (1978),  1097–1100
  31. On the phenomenon of saturation in numerical analysis

    Dokl. Akad. Nauk SSSR, 241:3 (1978),  505–508
  32. On the discretization of a problem of Gauss

    Dokl. Akad. Nauk SSSR, 240:6 (1978),  1273–1276
  33. On a problem of Gauss

    Dokl. Akad. Nauk SSSR, 238:5 (1978),  1021–1024
  34. Perturbation theory of stationary flows of a viscous incompressible fluid for small Reynolds numbers

    Dokl. Akad. Nauk SSSR, 227:3 (1976),  592–595
  35. Some remarks on the discretization of elliptic problems

    Dokl. Akad. Nauk SSSR, 221:1 (1975),  11–14
  36. Calculation of the steady flow of a viscous fluid past a circular cylinder

    Zh. Vychisl. Mat. Mat. Fiz., 15:1 (1975),  183–196
  37. Stationary solutions of the problem of flow around a body of a viscous incompressible liquid

    Dokl. Akad. Nauk SSSR, 210:2 (1973),  294–297
  38. On summability and convergence of eigenfunction expansions of a differential operator

    Mat. Sb. (N.S.), 91(133):2(6) (1973),  147–201
  39. On stationary solutions of the problem of flow past a body of a viscous incompressible fluid

    Mat. Sb. (N.S.), 91(133):1(5) (1973),  3–26
  40. The theory of extremal problems for univalent functions of class $S$

    Trudy Mat. Inst. Steklov., 101 (1972),  3–321
  41. Numerical solution of the boundary value problem for the Navier–Stokes equation

    Zh. Vychisl. Mat. Mat. Fiz., 12:5 (1972),  1343–1349
  42. Some remarks on approximation of functions of several variables

    Mat. Sb. (N.S.), 86(128):4(12) (1971),  499–517
  43. The structure of the coefficient domain of the univalent functions of class $S$

    Dokl. Akad. Nauk SSSR, 194:2 (1970),  247–249
  44. Some questions in the theory of extremal problems of univalent functions of class $S$

    Dokl. Akad. Nauk SSSR, 194:1 (1970),  12–15
  45. On the theory of the second variation of functionals on the class $S$ of univalent functions

    Dokl. Akad. Nauk SSSR, 193:5 (1970),  970–973
  46. An inequality in the theory of Fourier integrals

    Izv. Akad. Nauk SSSR Ser. Mat., 25:4 (1961),  531–542
  47. A numerical method of calculating the three-dimensional flow of a supersonic gas current around solids

    Zh. Vychisl. Mat. Mat. Fiz., 1:6 (1961),  1051–1060
  48. On certain classes of spaces of infinitely differentiable functions

    Dokl. Akad. Nauk SSSR, 132:6 (1960),  1231–1234
  49. Approximation of a certain class of periodical functions of many variables by trigonometric polynomials

    Dokl. Akad. Nauk SSSR, 132:5 (1960),  982–985
  50. Approximation of periodic functions of many variables by trigonometric polynomials

    Dokl. Akad. Nauk SSSR, 132:2 (1960),  247–250
  51. Best approximations to a class of analytic functions

    Izv. Akad. Nauk SSSR Ser. Mat., 22:5 (1958),  631–640
  52. On a new problem of quasi-analyticity and on the Fourier transform of entire functions

    Tr. Mosk. Mat. Obs., 5 (1956),  523–542

  53. School-Seminar “Approximation Theory and Problems of Calculus Mathematics”

    Uspekhi Mat. Nauk, 42:4(256) (1987),  221–222
  54. Sixth School on Numerical Decision of Problems of Mathemathical Physics

    Uspekhi Mat. Nauk, 42:3(255) (1987),  232–233
  55. Addendum: “The maximum principle for the Euler-Tricomi equation”

    Dokl. Akad. Nauk SSSR, 287:3 (1986),  520
  56. Fifth school on numerical decision of problems of mathemathical physics and approximation theory

    Uspekhi Mat. Nauk, 40:2(242) (1985),  224–225


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