Investigation of aerodynamic characteristics of aircrafts in a rarefied gas flow using the moment method
type: Item
instance of: scholarly article
title: Investigation of aerodynamic characteristics of aircrafts in a rarefied gas flow using the moment method
zbMATH Open document ID: 1497.76044
DOI: 10.1155/2022/6943602
author: Auzhan Sakabekov
author: Saltanat Madaliyeva
author: Ryskul Yergazina
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2022-09-30T00:00:00Z
review text: Summary: A one-dimensional nonstationary nonlinear moment system of equations and an approximation of Maxwell's microscopic boundary condition will be introduced. The flight speed and surface temperature of the aircraft are included in the moment system of equations as coefficients. Macroscopic boundary conditions also depend on the surface temperature of the aircraft. The quantity of macroscopic boundary conditions for the moment system of equations depends on the parity of the approximation number of the moment system of equations. We state the initial and boundary value problem for the moment system of equations in the third approximation under macroscopic boundary conditions. This paper proves the existence and uniqueness of the solution of the abovementioned problem in the space of functions continuous in time and summable in the square by spatial variable. The theorem on the existence and uniqueness of a solution of the initial and boundary value problem for the moment system of equations in the third approximation is proved by the method of a priori estimation and using the Galerkin method and Tartar's compensated compactness method.
Mathematics Subject Classification ID: 76G25
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 82C40
zbMATH DE Number: 7595556
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2022/6943602
OpenAlex ID: W4229016157
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description: scientific article; zbMATH DE number 7595556