ICM SB RAS Russian
Researches :: Methods of computational mathematics and technology of mathematical modelling for the solution of problems of physics, mechanics, physical chemistry
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метеостанция
 
Methods of invariant variety for modeling strongly nonequilibrium systems, Chapman-Enskog methods of summation of decomposition and the theory of generalized modeling equations are made up.

:

  1. Karlin I. V.
    On the relaxation of speed of chemical reaction in gas mixtures// «Mathematical problems of chemical kinetics»// Ed. by K. I. Zamaraev and G. S. Yablonsky, Novosibirsk: Science, 1989. P 7-42.(in Russian)

  2. Gorban A. N., Karlin I. V.
    Quasi-equilibrium approximations and non-standard decomposition in the theory of kinetic Boltzmann equation //Mathematical modelling in biology and chemistry (new approaches) / Ed. by R. G. Hlebopros, Novosibirsk: Science, 1991. P. 69–117.(in Russian)

  3. Gorban A. N., Karlin I. V.
    Structure and Approximations of the Chapman-Enskog Expansion for Linearized Grad Equations // ZETP, 1991. V. 100, _№4 ( 10 ). P. 1153–1161.(in Russian)

  4. Gorban A. N., Karlin I. V.
    Thermodynamic Parameterization//Physica A, 1992. V. 190. PP. 393–404.

  5. Gorban A. N., Karlin I. V.
    Structure and Approximations of the Chapman-Enskog Expansion for Linearized Grad Equations//Transport Theory and Stat. Phys., 1992. V.21, № 1&2. P. 101–117.

  6. Karlin I. V.
    Simplest Nonlinear Regularization//Transport Theory and Statistical Physics, 1992. V.21. PP. 291–293.

  7. Gorban A. N., Karlin I. V.
    Method of Invariant Manifolds and Regularization of Acoustic Spectra//Transport Theory and Stat. Phys., 1994. V.23, No.5. PP.559–632.

  8. Gorban A. N., Karlin I. V.
    General approach to constructing models of the Boltzmann equation//Physica A, 1994. V. 206, PP. 401–420.

  9. Karlin I. V., Gorban A. N., Dukek G. and Nonnenmacher T. F.
    Dynamic correction to moment approximations//Phys. Rev. E. 1998. V. 57, PP. 1668–1672.

  10. Gorban A. N., Karlin I. V., Zmievskii V. B. and Dymova S. V.
    Reduced description in reaction kinetics//Physica A. 2000. V. 275 ( 3-4 ), PP. 361–379.

  11. Gorban A. N., Karlin I. V., Zmievskii V. B.
    Two-step approximation of space " independent relaxation//Transp. Theory Stat. Phys. 1999. V 28 ( 3 ), PP. 271–296

  12. txt&zip  Zmievskii V. A., Karlin I. V. and Deville M.
    The universal limit in dynamics of dilute polymeric solutions//Physica A. 2000. V 275 ( 1-2 ), PP. 152–177.

  13. Gorban A. N., Karlin I. V., Ilg P. and Ottinger H. C.
    Corrections and enhancements of quasi-equilibrium states//J. Non-Newtonian Fluid Mech.-2001. — V. 96. ( 1-2 ) — P. 203–219.