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О неустойчивости положений равновесия в 6-скоростной модели дискретной кинетики

E. V. Radkevicha, O. A. Vasilievab

a Lomonosov Moscow State University
b Moscow State University of Civil Engineering




References
  1. K. S. Platonova, A. V. Borovskikh, “Gruppovoi analiz odnomernogo uravneniya Boltsmana. Invarianty i problema zamykaniya momentnoi sistemy”, TMF, 208:3 (2021), 367–386
  2. S. K. Godunov, U. M. Sultangazin, “O diskretnykh modelyakh kineticheskogo uravneniya Boltsmana”, Uspekhi MN, XXVI:3(159) (1974), 3–51
  3. Sultangazin U.M., Diskretnye nelineinye Modeli uravneniya Boltsmana, Nauka, Alma-Ata, 1985
  4. Euler N., Steeb W.-H., “Painleve Test and Discrete Boltzmann Equations”, Aust. J. Phys., 42 (1989), 1–10
  5. T. E. Broadwell, “Study of rarified shear flow by the discrete velocity method”, J. of Fluid Mechanics, 19:3 (1964)
  6. Vedenyapin V. V., Kineticheskie uravneniya Boltsmana i Vlasova, FIZMATLIT, M., 2001, 112 с., ISBN 5-9221-0187-0
  7. T. Karleman, Matematicheskie zadachi kineticheskoi teorii gazov, IL, M., 1960
  8. E. V. Radkevich, O. A. Vasil’eva, S. A. Dukhnovskii, “Local equilibrium of the Carleman equation”, Journal of Mathematical Sciences, 207:2, May, 2015
  9. O.V. Ilin, “Izuchenie suschestvovaniya reshenii i ustoichivosti kineticheskoi sistemy Karlemana”, Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, 47:12 (2007), 2076–2087
  10. E.V. Radkevich, O. A. Vasileva, S. A. Dukhnovskii, “O prirode lokalnogo ravnovesiya uravnenii Karlemana i Godunova-Sultangazina”, Sovremennaya matematika. Fundamentalnye napravleniya, 60 (2016) (2016), 1–58
  11. E. V. Radkevich, O. A. Vasileva, “O neustoichivosti polozhenii ravnovesiya dlya diskretnykh kineticheskikh modelei. Eksponentsialnaya stabilizatsiya regulyarnykh periodicheskikh vozmuschenii polozhenii ravnovesiya”, Sibirskii matematicheskii zhurnal, 2026, № 3
  12. E.V. Radkevich, O.A. Vasileva, “O skorosti maksvellizatsii protsessa, modeliruemogo odnomernoi kineticheskoi modelyu Brodvella”, 2025 (prinyata k publikatsii)


© Steklov Math. Inst. of RAS, 2026