Micro-macro Fokker-Planck-Kolmogorov models for a gas of rigid spheres (Q2820362)

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scientific article; zbMATH DE number 6627688
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Micro-macro Fokker-Planck-Kolmogorov models for a gas of rigid spheres
scientific article; zbMATH DE number 6627688

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    15 September 2016
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    Navier-Stokes equations
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    Fokker-Planck-Kolmogorov models
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    rigid spheres
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    Wiener's measure
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    Micro-macro Fokker-Planck-Kolmogorov models for a gas of rigid spheres (English)
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    A generalization of the known Navier-Stokes equations for incompressible viscous fluids in a stochastic microscopic model of a gas consisting of rigid spherical particles is proposed. The main peculiarity of the generalized equations is a more exact velocity averaging using an analytic solution of stochastic differential equations on the Wiener's measure. As a test numerical example, the problem of a shock wave front structure is analyzed by the above method.
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