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Vedenyapin Victor Valentinovich

Publications in Math-Net.Ru

  1. Mathematics of accelerated expansion of the Universe and Lobachevsky space

    Dokl. RAN. Math. Inf. Proc. Upr., 522 (2025),  11–18
  2. Expansion of the Universe in the case of the generalized Friedmann–Lemaitre–Robertson–Walker metric

    Keldysh Institute preprints, 2025, 014, 26 pp.
  3. On derivation of Vlasov–Maxwell–Einstein equations from the principle of least action, the Hamilton–Jacobi method, and the Milne–Mccrea model

    Dokl. RAN. Math. Inf. Proc. Upr., 515 (2024),  60–65
  4. Mathematical theory of the accelerated expansion of the Universe based on the principle of least action and the Friedman and Milne-McCrea model

    Keldysh Institute preprints, 2024, 003, 28 pp.
  5. Vlasov–Maxwell–Einstein-type equations and their consequences. Applications to astrophysical problems

    TMF, 218:2 (2024),  258–279
  6. Mathematical theory of the expanding Universe based on the principle of least action

    Zh. Vychisl. Mat. Mat. Fiz., 64:11 (2024),  2114–2131
  7. 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
  8. On Derivation and Properties of Vlasov-type equations

    Keldysh Institute preprints, 2023, 020, 18 pp.
  9. Erratum to: Several Articles in Doklady Mathematics

    Dokl. RAN. Math. Inf. Proc. Upr., 506 (2022),  404–405
  10. On derivation of equations of electrodynamics and gravitation from the principle of least action, the Hamilton–Jacobi method, and cosmological solutions

    Dokl. RAN. Math. Inf. Proc. Upr., 504 (2022),  51–55
  11. Vlasov-Einstein equation and Lagrange points

    Keldysh Institute preprints, 2022, 023, 23 pp.
  12. Derivation of the equations of electrodynamics and gravity from the principle of least action

    Zh. Vychisl. Mat. Mat. Fiz., 62:6 (2022),  1016–1029
  13. Kinetic aggregation models leading to morphological memory of formed structures

    Zh. Vychisl. Mat. Mat. Fiz., 62:2 (2022),  255–269
  14. S.K. Godunov and kinetic theory at the Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences

    Zh. Vychisl. Mat. Mat. Fiz., 60:4 (2020),  621–625
  15. Euler and Navier–Stokes equations as self-consistent fields

    Keldysh Institute preprints, 2019, 041, 20 pp.
  16. Vlasov–Maxwell–Einstein equation and Einstein lambda

    Keldysh Institute preprints, 2019, 039, 17 pp.
  17. Schrödinger equation as a consequence of new Vlasov type equations

    Keldysh Institute preprints, 2019, 026, 11 pp.
  18. Approaches to determining the kinetics for the formation of a nano-dispersed substance from the experimental distribution functions of its nanoparticle properties

    Nanosystems: Physics, Chemistry, Mathematics, 10:5 (2019),  549–563
  19. Equation of Vlasov–Maxwell–Einstein type and transition to a weakly relativistic approximation

    Zh. Vychisl. Mat. Mat. Fiz., 59:11 (2019),  1883–1898
  20. Entropy in the sense of Boltzmann and Poincare, Boltzmann extremals, and the Hamilton–Jacobi method in non-Hamiltonian context

    CMFD, 64:1 (2018),  37–59
  21. On the Vlasov–Maxwell–Einstein equation and its non-relativistic and weakly relativistic analogues

    Keldysh Institute preprints, 2018, 265, 30 pp.
  22. Vlasov–Maxwell–Einstein Equation

    Keldysh Institute preprints, 2018, 188, 20 pp.
  23. $H$-theorem for continuous- and discrete-time chemical kinetic systems and a system of nucleosynthesis equations

    Zh. Vychisl. Mat. Mat. Fiz., 58:9 (2018),  1517–1530
  24. Vlasov-type and Liouville-type equations, their microscopic, energetic and hydrodynamical consequences

    Izv. RAN. Ser. Mat., 81:3 (2017),  45–82
  25. Generalized Boltzmann-type equations for aggregation in gases

    Zh. Vychisl. Mat. Mat. Fiz., 57:12 (2017),  2065–2078
  26. Hamilton–Jacobi method for non-Hamiltonian systems

    Keldysh Institute preprints, 2015, 013, 18 pp.
  27. The Hamilton – Jacobi method for non-Hamiltonian systems

    Nelin. Dinam., 11:2 (2015),  279–286
  28. Entropy in the sense of Boltzmann and Poincaré

    Uspekhi Mat. Nauk, 69:6(420) (2014),  45–80
  29. On derivation and classification of Vlasov type equations and equations of magnetohydrodynamics. The Lagrange identity, the Godunov form, and critical mass

    CMFD, 47 (2013),  5–17
  30. Derivation and classification of Vlasov-type and magnetohydrodynamics equations: Lagrange identity and Godunov's form

    TMF, 170:3 (2012),  468–480
  31. Time averages and Boltzmann extremals for Markov chains, discrete Liouville equations, and the Kac circular model

    Zh. Vychisl. Mat. Mat. Fiz., 51:11 (2011),  2063–2074
  32. Time averages and Boltzmann extremals

    Dokl. Akad. Nauk, 422:2 (2008),  161–163
  33. On the sizes of discrete velocity models of the Boltzmann equation for mixtures

    Zh. Vychisl. Mat. Mat. Fiz., 47:6 (2007),  1045–1054
  34. Photophoresis and reactive forses

    Mat. Model., 18:8 (2006),  77–85
  35. The 2-nd low of thermodynamics for chemical kinetics

    Mat. Model., 17:8 (2005),  106–110
  36. One-dimensional discrete models of kinetic equations for mixtures

    Zh. Vychisl. Mat. Mat. Fiz., 44:3 (2004),  553–558
  37. On the motion of solids in gas with nonuniform surface chemical processes

    Mat. Model., 15:6 (2003),  6–10
  38. Discrete models of the Boltzmann equation for mixtures

    Differ. Uravn., 36:7 (2000),  925–929
  39. Discrete velocity models of Boltzmann equation for mixtures

    Mat. Model., 12:7 (2000),  18–22
  40. Discrete Velocity Models for Mixtures

    Keldysh Institute preprints, 1999, 017
  41. Invariants for Hamiltonians and kinetic equations

    Uspekhi Mat. Nauk, 54:5(329) (1999),  153–154
  42. Conservation laws for polynomial Hamiltonians and for discrete models of the Boltzmann equation

    TMF, 121:2 (1999),  307–315
  43. Representations of general commutation relations. Asymptotics of the spectrum of three quantum Hamiltonians

    Dokl. Akad. Nauk, 352:2 (1997),  155–158
  44. On the Vlasov-Einstein Equation and Quantization of Vlasov Equation

    Keldysh Institute preprints, 1997, 013
  45. Representations of general commutation relations

    TMF, 113:3 (1997),  369–383
  46. Asymptotics of the spectrum of quantum Hamiltonians

    Dokl. Akad. Nauk, 351:4 (1996),  444–447
  47. Exponent Series and Superposition of Running Waves

    Keldysh Institute preprints, 1995, 117
  48. Semiboundedness and Asimptotic Behavior of Spectrum of three Quantum Hamiltonians

    Keldysh Institute preprints, 1995, 049
  49. Estimation of Eigenvalues in the Raman-Type Nonlinear Model

    Keldysh Institute preprints, 1995, 041
  50. Representations of General Commutative Relations. Conservation Laws for Quantum Hamiltonians

    Keldysh Institute preprints, 1995, 030
  51. On the classification and stability of steady-state solutions of Vlasov's equation on a torus and in a boundary value problem

    Trudy Mat. Inst. Steklov., 203 (1994),  13–20
  52. On discrete models of the quantum Boltzmann equation

    Mat. Sb., 184:11 (1993),  21–38
  53. Classification of stationary solutions of the Vlasov equation on a torus and a boundary value problem

    Dokl. Akad. Nauk, 323:6 (1992),  1004–1006
  54. Differential forms in spaces without a norm. A theorem on the uniqueness of Boltzmann's $H$-function

    Uspekhi Mat. Nauk, 43:1(259) (1988),  159–179
  55. Boundary value problems for a stationary Vlasov equation

    Dokl. Akad. Nauk SSSR, 290:4 (1986),  777–780
  56. Differential forms in infinite-dimensional spaces and their use in kinetic equations

    Funktsional. Anal. i Prilozhen., 19:1 (1985),  62–63
  57. Anisotropic solutions of a nonlinear Boltzmann equation for Maxwell molecules

    Dokl. Akad. Nauk SSSR, 256:2 (1981),  338–342
  58. On the uniqueness of Boltzmann's $H$-function

    Dokl. Akad. Nauk SSSR, 233:5 (1977),  765–768
  59. On the maximum principle for discrete models of the Boltzmann equation and on the connection between the direct and inverse collision integrals of this equation

    Dokl. Akad. Nauk SSSR, 233:4 (1977),  519–522
  60. On an inequality for convex functions and on an estimate of the collision integral of the Boltzmann equation for a gas of elastic spheres

    Dokl. Akad. Nauk SSSR, 226:5 (1976),  997–1000
  61. On global solvability of the Cauchy problem for some discrete models of Boltzmann's equation

    Dokl. Akad. Nauk SSSR, 215:1 (1974),  21–23

© Steklov Math. Inst. of RAS, 2025