Уравнение Больцмана без гипотезы молекулярного хаоса
DOI10.20948/mm-2021-01-01zbMath1458.82017OpenAlexW3117593968MaRDI QIDQ5143374
S. V. Bogomolov, T. V. Zakharova
Publication date: 12 January 2021
Published in: Математическое моделирование (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/mm4250
Navier-Stokes equationsBoltzmann equationrandom processesparticle methodsKolmogorov-Fokker-Planck equationSDE with respect to Bernoulli and Wiener measures
Gas dynamics (general theory) (76N15) Navier-Stokes equations (35Q30) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) PDEs with randomness, stochastic partial differential equations (35R60) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Statistical mechanics of gases (82D05) Integro-partial differential equations (35R09) Boltzmann equations (35Q20) Fokker-Planck equations (35Q84)
Cites Work
- Unnamed Item
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- A Fokker-Planck model of the Boltzmann equation with correct Prandtl number
- Fokker-Planck-DSMC algorithm for simulations of rarefied gas flows
- Unified solver for rarefied and continuum flows with adaptive mesh and algorithm refinement
- Stochastic world
- Comparison of relaxation phenomena in binary gas-mixtures of Maxwell molecules and hard spheres
- Kinetic algorithms for modeling conductive fluids flow on high-performance computing systems
- Stochastic model of heat transfer in the atmospheric surface layer
- Numerical algorithms for systems with extramassive parallelism
- Statistical decomposition of volatility
- Magnetoencephalography inverse problem in the spheroid geometry
- Verification of a stochastic diffusion gas model
- Equations of stochastic quasi-gas dynamics: Viscous gas case
- On Fokker-Planck model for the Boltzmann collision integral at the moderate Knudsen numbers
- On the approximation of the solution of the Boltzmann equation by solutions of the ito stochastic differential equations
- Стохастическая магнитогидродинамическая иерархия в сильном внешнем магнитном поле
- Stochastic Problems in Physics and Astronomy
- An approach to deriving stochastic gas dynamics models
