Boltzmann’s Six-Moment One-Dimensional Nonlinear System Equations with the Maxwell-Auzhan Boundary Conditions
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-07-10
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We prove existence and uniqueness of the solution of the problem with initial and Maxwell-Auzhan boundary conditions for nonstationary nonlinear one-dimensional Boltzmann’s six-moment system equations in space of functions continuous in time and summable in square by a spatial variable.
In order to obtain a priori estimation of the initial and boundary value problem for nonstationary nonlinear one-dimensional Boltzmann’s six-moment system equations we get the integral equality and then use the spherical representation of vector.
Then we obtain the initial value problem for Riccati equation.
We have managed to obtain a particular solution of this equation in an explicit form.
American Psychological Association (APA)
Sakabekov, A.& Auzhani, Y.. 2016. Boltzmann’s Six-Moment One-Dimensional Nonlinear System Equations with the Maxwell-Auzhan Boundary Conditions. Journal of Applied Mathematics،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1107224
Modern Language Association (MLA)
Sakabekov, A.& Auzhani, Y.. Boltzmann’s Six-Moment One-Dimensional Nonlinear System Equations with the Maxwell-Auzhan Boundary Conditions. Journal of Applied Mathematics No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1107224
American Medical Association (AMA)
Sakabekov, A.& Auzhani, Y.. Boltzmann’s Six-Moment One-Dimensional Nonlinear System Equations with the Maxwell-Auzhan Boundary Conditions. Journal of Applied Mathematics. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1107224
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1107224