Ilyin Oleg Vadimovich

Publications in Math-Net.Ru

1. Lattice Boltzmann equations based on the Shakhov model and applications to modeling rarefied Poiseuille flow at high subsonic velocity
   
   Zh. Vychisl. Mat. Mat. Fiz., 65:11 (2025),  1932–1942
2. Lattice Boltzmann model for nonlinear anisotropic diffusion with applications to image processing
   
   Dokl. RAN. Math. Inf. Proc. Upr., 520:1 (2024),  19–23
3. On accuracy of the lattice Boltzmann equations of low and high orders as applied to slow isothermal microflows
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:9 (2024),  1760–1770
4. Nonclassical heat transfer in a microchannel and a problem for lattice Boltzmann equations
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:12 (2023),  2016–2024
5. A modified secant method for entropic lattice Boltzmann equations
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:7 (2023),  1206–1215
6. A discrete nine-velocity model of the Boltzmann equation: solution in the form of Wild sum and applications to simulating incompressible flows
   
   Zh. Vychisl. Mat. Mat. Fiz., 62:4 (2022),  705–720
7. Boundary conditions for lattice Boltzmann equations in applications to hemodynamics
   
   Computer Research and Modeling, 12:4 (2020),  865–882
8. The modeling of nonlinear pulse waves in elastic vessels using the Lattice Boltzmann method
   
   Computer Research and Modeling, 11:4 (2019),  707–722
9. Methods and problems in the kinetic approach for simulating biological structures
   
   Computer Research and Modeling, 10:6 (2018),  851–866
10. A method for simulating the dynamics of rarefied gas based on lattice Boltzmann equations and the BGK equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 58:11 (2018),  1889–1899
11. Symmetries and invariant solutions of the one-dimensional Boltzmann equation for inelastic collisions
    
    TMF, 186:2 (2016),  221–229
12. Solutions of the generalized kinetic model of annihilation for a mixture of particles of two types
    
    Zh. Vychisl. Mat. Mat. Fiz., 56:12 (2016),  2110–2114
13. Description of the rapid invasion processes by means of the kinetic model
    
    Computer Research and Modeling, 6:5 (2014),  829–838
14. Symmetries, the current function, and exact solutions for Broadwell's two-dimensional stationary kinetic model
    
    TMF, 179:3 (2014),  350–359
15. Stationary solutions of the kinetic Broadwell model
    
    TMF, 170:3 (2012),  481–488
16. Stability analysis of the plane Couette flow for a model kinetic equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 49:5 (2009),  902–915
17. Existence and stability analysis for the Carleman kinetic system
    
    Zh. Vychisl. Mat. Mat. Fiz., 47:12 (2007),  2076–2087