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Petrov Alexander Georgievich

Publications in Math-Net.Ru

  1. On tautochronic motions

    Dokl. RAN. Math. Inf. Proc. Upr., 518 (2024),  22–28
  2. Method of normal coordinates for studying forced oscillations of dissipative systems in mechanics and electrical engineering

    Prikl. Mekh. Tekh. Fiz., 65:5 (2024),  141–156
  3. Exponentially convergent numerical scheme for the stream function of potential flow over axisymmetric bodies

    Zh. Vychisl. Mat. Mat. Fiz., 64:3 (2024),  392–402
  4. On derivation of equations of gravitation from the principle of least action, relativistic Milne-Mccree solutions and Lagrange points

    Dokl. RAN. Math. Inf. Proc. Upr., 514:1 (2023),  69–73
  5. Potential flow around two circular cylinders

    Prikl. Mekh. Tekh. Fiz., 64:3 (2023),  95–109
  6. On a flow around a cylinder over uneven bottom

    Zh. Vychisl. Mat. Mat. Fiz., 63:3 (2023),  424–435
  7. Vlasov-Einstein equation and Lagrange points

    Keldysh Institute preprints, 2022, 023, 23 pp.
  8. Algorithm for construction of quadrature formulas with exponential convergence for linear operators acting on periodic functions

    Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 2,  86–92
  9. Areas of attraction of the pendulum under the influence of oblique vibration of the suspension point

    Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 8:3 (2021),  511–522
  10. The inverse problem of stabilization of a spherical pendulum in a given position under oblique vibration.

    Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 8:2 (2021),  255–269
  11. On parametric representations of orthogonal and symplectic matrices

    Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 6,  93–98
  12. Interaction of two nearly contacting gas bubbles pulsating in a liquid in an alternating pressure field

    Pis'ma v Zh. Èksper. Teoret. Fiz., 112:3 (2020),  165–171
  13. Stimulated terahertz emission in a system of excitons in photoexcited silicon

    Pis'ma v Zh. Èksper. Teoret. Fiz., 109:12 (2019),  821–825
  14. Saturation-Free Numerical Scheme for Computing the Flow Past a Lattice of Airfoils with a Sharp Edge

    Rus. J. Nonlin. Dyn., 15:2 (2019),  135–143
  15. Computation of viscous flow between two arbitrarily moving cylinders of arbitrary cross section

    Zh. Vychisl. Mat. Mat. Fiz., 59:6 (2019),  1063–1082
  16. Intraexciton and intracenter terahertz radiation from doped silicon under interband photoexcitation

    Pis'ma v Zh. Èksper. Teoret. Fiz., 107:9 (2018),  564–568
  17. Stability of capillary waves of finite amplitude

    Lect. Notes Electr. Eng., 428 (2018),  51–57
  18. Ellipsoid movement in ideal or viscous fluid

    MATEC Web Conf., 211 (2018),  15004–7
  19. Study of finite amplitude capillary waves stability

    MATEC Web Conf., 211 (2018),  4008–7
  20. Problems of hydrodynamics for a triaxial ellipsoid

    Prikl. Mekh. Tekh. Fiz., 59:4 (2018),  50–63
  21. Nonlinear oscillations of a spring pendulum at the 1 : 1 : 2 resonance: theory, experiment, and physical analogies

    Trudy Mat. Inst. Steklova, 300 (2018),  168–175
  22. Deformation of cylindrical cavities in plane-parallel potential flows with circulation and under the action of mass forces

    Num. Meth. Prog., 19:3 (2018),  207–214
  23. Formation of a cumulative jet in the plane-parallel flow of a perfect fluid

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 5,  42–47
  24. Simulation of electrochemical machining using the boundary element method with no saturation

    Zh. Vychisl. Mat. Mat. Fiz., 56:10 (2016),  1810–1820
  25. Computation of forces acting on bodies in plane and axisymmetric cavitation flow problems

    Zh. Vychisl. Mat. Mat. Fiz., 56:2 (2016),  318–331
  26. Anharmonic Bloch oscillation of electrons in biased superlattices

    Pis'ma v Zh. Èksper. Teoret. Fiz., 102:12 (2015),  911–918
  27. Causes of bed instability

    Prikl. Mekh. Tekh. Fiz., 55:6 (2014),  114–119
  28. Sediment transport under normal and tangential bottom stresses with the bottom slope taken into account

    Prikl. Mekh. Tekh. Fiz., 55:5 (2014),  100–105
  29. Effect of turbulent viscosity on the formation and motion of bottom waves

    Prikl. Mekh. Tekh. Fiz., 54:1 (2013),  57–68
  30. Constructing solutions of the Navier–Stokes equations for a fluid layer between moving parallel plates at low and moderate Reynolds numbers

    Prikl. Mekh. Tekh. Fiz., 54:1 (2013),  51–56
  31. Exact solution of the Navier–Stokes equations in a fluid layer between the moving parallel plates

    Prikl. Mekh. Tekh. Fiz., 53:5 (2012),  13–18
  32. Terahertz radiation induced by the Wannier-Stark localization of electrons in a natural silicon carbide superlattice

    Pis'ma v Zh. Èksper. Teoret. Fiz., 94:5 (2011),  393–396
  33. Generation mechanism of bed wave in a sand-bed channel

    Prikl. Mekh. Tekh. Fiz., 52:2 (2011),  81–91
  34. Saturation-free numerical scheme for computing the flow past a lattice of airfoils and the determination of separation points in a viscous fluid

    Zh. Vychisl. Mat. Mat. Fiz., 51:7 (2011),  1326–1338
  35. Formulation and solution of the problem of the stability of a cohesionless channel bottom

    Prikl. Mekh. Tekh. Fiz., 51:1 (2010),  62–74
  36. A hydrodynamic model of human cochlea

    Zh. Vychisl. Mat. Mat. Fiz., 49:9 (2009),  1708–1723
  37. A mathematical model of human cochlea

    Keldysh Institute preprints, 2008, 096, 26 pp.
  38. Quadrature formulas for periodic functions and their application to the boundary element method

    Zh. Vychisl. Mat. Mat. Fiz., 48:8 (2008),  1344–1361
  39. Energy relaxation of hot carriers in single-wall carbon nanotubes by surface optical phonons of the substrate

    Pis'ma v Zh. Èksper. Teoret. Fiz., 84:3 (2006),  185–189
  40. Asymptotic Methods for Solving the Hamilton Equations with the Use of a Parametrization of Canonical Transformations

    Differ. Uravn., 40:5 (2004),  626–638
  41. Poincaré mapping method for hydrodynamic systems. Dynamic chaos in a fluid layer between eccentrically rotating cylinders

    Prikl. Mekh. Tekh. Fiz., 44:1 (2003),  3–21
  42. Inertialess deformation of weakly inhomogeneous viscous media

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2002, no. 2,  37–41
  43. Sediment-discharge vector in a turbulent flow above an eroded bottom

    Prikl. Mekh. Tekh. Fiz., 41:2 (2000),  102–112
  44. Wind turbulent flow in a basin of constant depth bounded by a vertical rectangular wall

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1998, no. 4,  55–58
  45. On the equation for the curvature of a curve changing in time and having a given distribution of distinguished points on it

    Uspekhi Mat. Nauk, 50:5(305) (1995),  249–250
  46. An equation for the curvature and interpolation of a line that changes over time

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 6,  69–71
  47. Turbulent flow over rotating rough surface

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 3,  60–65
  48. Sediment transport by turbulent flow above a bottom subject to erosion

    Prikl. Mekh. Tekh. Fiz., 33:4 (1992),  61–69
  49. Calculation of a capillary-gravity wave profile on a surface of a heavy liquid of a finite depth

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1991, no. 3,  92–96
  50. The energy dissipation rate of a viscous fluid with a condition for shear stress on a boundary streamline

    Dokl. Akad. Nauk SSSR, 304:5 (1989),  1082–1086
  51. Circulation within viscous deformed drops moving at a constant velocity in a gas

    Prikl. Mekh. Tekh. Fiz., 30:6 (1989),  127–134
  52. Internal circulation and deformation of viscous drops

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, no. 3,  85–88
  53. Asymptotic expansions of thin axisymmetric cavities

    Prikl. Mekh. Tekh. Fiz., 27:5 (1986),  45–49
  54. The resistance force acting on an axisymmetric nonthin body for small cavitation numbers

    Dokl. Akad. Nauk SSSR, 282:6 (1985),  1320–1323
  55. Universal, cavity-shape-independent relations for cavitation flow with small cavitation numbers

    Prikl. Mekh. Tekh. Fiz., 25:5 (1984),  110–117
  56. Stability of relative motion of phases in two-phase flows

    Prikl. Mekh. Tekh. Fiz., 23:1 (1982),  83–90
  57. A direct variational method of calculating plane and axisymmetric cavitation flows

    Dokl. Akad. Nauk SSSR, 257:6 (1981),  1323–1327
  58. Physical model and equation of motion for a two-phase medium taking into account random particle (bubbles) motion

    Prikl. Mekh. Tekh. Fiz., 22:6 (1981),  78–87
  59. Reactions acting on a small solid in plane-parallel vortex flow

    Dokl. Akad. Nauk SSSR, 238:1 (1978),  33–35
  60. The stability of a small body in a nonuniform flow

    Dokl. Akad. Nauk SSSR, 237:6 (1977),  1303–1306
  61. Stability of gas-bubble equilibrium shape in uniform flow of an ideal fluid

    Prikl. Mekh. Tekh. Fiz., 15:5 (1974),  49–54
  62. A method of calculating the potential flow of an incompressible fluid around a solid revolution

    Zh. Vychisl. Mat. Mat. Fiz., 14:3 (1974),  797–802
  63. Motion of a deforming body in an ideal liquid from a state of rest

    Dokl. Akad. Nauk SSSR, 212:5 (1973),  1086–1088
  64. Lagrangian of a gas bubble in a nonuniform flow

    Dokl. Akad. Nauk SSSR, 210:5 (1973),  1036–1039
  65. Motion of a small sphere in a nonhomogeneous flow of an incompressible liquid

    Prikl. Mekh. Tekh. Fiz., 14:5 (1973),  57–61
  66. Transfer of energy from an evaporating drop in a vapor medium

    Prikl. Mekh. Tekh. Fiz., 13:1 (1972),  74–78
  67. Curvilinear motion of an ellipsoidal bubble

    Prikl. Mekh. Tekh. Fiz., 12:3 (1971),  90–93
  68. Motion of ellipsoidal bubble in low-viscosity liquid

    Prikl. Mekh. Tekh. Fiz., 11:3 (1970),  76–81
  69. Motion of a pair of bubbles in a liquid of low viscosity

    Prikl. Mekh. Tekh. Fiz., 9:3 (1968),  29–36

© Steklov Math. Inst. of RAS, 2024