Kinetic approach taking into account the heterogeneities of higher orders in the Navier – Stokes equation
https://doi.org/10.18384/2310-7251-2023-1-17-26
Abstract
Aim. We demonstrate a method for deriving the Navier–Stokes equation taking into account inhomogeneities of any order according to the Laplace operator using the Boltzmann kinetic equation.
Methodology. The solution method is based on the theory of nonequilibrium phenomena and on the principle of entropy growth Results. After the calculations, additional heterogeneous terms are found to the right side of the Navier–Stokes equation according to the Laplace operator.
Research implications. A new type of fundamental solutions for a stationary equation of parabolic type is predicted, which has a significant applied value in solving a number of problems of mathematical physics.
About the Authors
S. O. Gladkov
Moscow Aviation Institute (National Research University)
Russian Federation
Russian Federation
Sergey O. Gladkov – Dr. Sci. (Phys.-Math.), Prof., Department No. 311 “Applied software and mathematical methods”
Volokolamskoe shossse 4, Moscow 125993
Zaw Aung
Moscow Aviation Institute (National Research University)
Russian Federation
Russian Federation
Zaw Aung – Postgraduate Student, Department No. 311 “Applied software and mathematical methods”
Volokolamskoe shossse 4, Moscow 125993
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