Mixed Value Problem for a One-Dimensional Nonlinear Nonstationary Twelve moment BoltzmannS System Equations with the Maxwell-Auzhan Boundary Conditions

α
Sh. Akimzhanova
Sh. Akimzhanova
α Satbayev University Satbayev University

Send Message

To: Author

Mixed Value Problem for a One-Dimensional Nonlinear Nonstationary Twelve moment BoltzmannS System Equations with the Maxwell-Auzhan Boundary Conditions

Article Fingerprint

ReserarchID

3EL90

Mixed Value Problem for a One-Dimensional Nonlinear Nonstationary Twelve moment BoltzmannS System Equations with the Maxwell-Auzhan Boundary Conditions Banner

AI TAKEAWAY

Connecting with the Eternal Ground
  • English
  • Afrikaans
  • Albanian
  • Amharic
  • Arabic
  • Armenian
  • Azerbaijani
  • Basque
  • Belarusian
  • Bengali
  • Bosnian
  • Bulgarian
  • Catalan
  • Cebuano
  • Chichewa
  • Chinese (Simplified)
  • Chinese (Traditional)
  • Corsican
  • Croatian
  • Czech
  • Danish
  • Dutch
  • Esperanto
  • Estonian
  • Filipino
  • Finnish
  • French
  • Frisian
  • Galician
  • Georgian
  • German
  • Greek
  • Gujarati
  • Haitian Creole
  • Hausa
  • Hawaiian
  • Hebrew
  • Hindi
  • Hmong
  • Hungarian
  • Icelandic
  • Igbo
  • Indonesian
  • Irish
  • Italian
  • Japanese
  • Javanese
  • Kannada
  • Kazakh
  • Khmer
  • Korean
  • Kurdish (Kurmanji)
  • Kyrgyz
  • Lao
  • Latin
  • Latvian
  • Lithuanian
  • Luxembourgish
  • Macedonian
  • Malagasy
  • Malay
  • Malayalam
  • Maltese
  • Maori
  • Marathi
  • Mongolian
  • Myanmar (Burmese)
  • Nepali
  • Norwegian
  • Pashto
  • Persian
  • Polish
  • Portuguese
  • Punjabi
  • Romanian
  • Russian
  • Samoan
  • Scots Gaelic
  • Serbian
  • Sesotho
  • Shona
  • Sindhi
  • Sinhala
  • Slovak
  • Slovenian
  • Somali
  • Spanish
  • Sundanese
  • Swahili
  • Swedish
  • Tajik
  • Tamil
  • Telugu
  • Thai
  • Turkish
  • Ukrainian
  • Urdu
  • Uzbek
  • Vietnamese
  • Welsh
  • Xhosa
  • Yiddish
  • Yoruba
  • Zulu

Abstract

It is proved existence and uniqueness of solution of the problem with initial and boundary conditions of Maxwell-Auzhan (we consider pure specular reflection from the boundary) for the nonstationary nonlinear one-dimensional Boltzmann’s twelve-moment system equations in space of functions continuous in time and summable in square by spatial variable.

References

21 Cites in Article
  1. Auzhan Sakabekov,Yerkanat Auzhani (2014). Boundary conditions for the one-dimensional nonlinear nonstationary Boltzmann’s moment system equations.
  2. Mikhail Kogan (1967). Rarefied Gas Dynamics.
  3. R Barantcev (1975). Gas-Surface Interaction: Tangential Momentum Accommodation Coefficients of Rare Gases on Polycrystalline Metal Surfaces.
  4. A Latyshev,A Yushkanov (2004). Moment Boundary Conditions in Rarefied Gas Slip-Flow Problems// Fluid Dynamics.
  5. Y Khlopkov,M Zeia,A Khlopkov (2014). Techniques for solving high-altitude tasks in a rarefied gas.
  6. G Grad (1949). On the kinetic theory of rarefied gases.
  7. G Grad (1958). Principles of the Kinetic Theory of Gases.
  8. A Sakabekov (1994). Initial-boundary value problems for the Boltzmann's moment system equations in an arbitrary approximation.
  9. C Cercignani (1975). Theory and application of the Boltzmann equation.
  10. K Kumar (1966). Polynomial expansions in Kinetic theory of gases.
  11. V Neudachin,U Smirnov (1969). Nucleon association of easy kernel.
  12. M Moshinsky (1960). The harmonic oscillator in modern physics: from atoms to quarks.
  13. A Bobylev,S Rjasanow (1975). Numerical solution of the Boltzmann equation using a fully conservative difference scheme based on the fast fourier transform.
  14. V Vedeniapin (1981). Anisotropic solutions of the nonlinear Boltzmann equation for Maxwellian molecule.
  15. C Levermore (1996). Moment closure hierarchies for kinetic theories.
  16. R Barantcev,M Lutcet (1969). About boundary condition for moment equations of rarefied gases.
  17. Stéphane Mischler (2010). Kinetic equations with Maxwell boundary conditions.
  18. A Sakabekov,Y Auzhani (2014). Boundary conditions for the one dimensional nonlinear nonstationary Boltzmann's moment system equations.
  19. Sh,A Akimzhanova,Sakabekov (2019). Macroscopic boundary conditions on solid surface in rarefied gas flow for one-dimensional nonlinear nonstationary twelve moment Boltzmann system of equations.
  20. S Pokhozhaev (1979). On an approach to nonlinear equation.
  21. Luc Tartar (1979). The Compensated Compactness Method Applied to Systems of Conservation Laws.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Sh. Akimzhanova. 2020. \u201cMixed Value Problem for a One-Dimensional Nonlinear Nonstationary Twelve moment BoltzmannS System Equations with the Maxwell-Auzhan Boundary Conditions\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 20 (GJSFR Volume 20 Issue F5): .

Download Citation

Issue Cover
GJSFR Volume 20 Issue F5
Pg. 37- 47
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification: MSC 2010: 35Q20
Version of record

v1.2

Issue date

August 22, 2020

Language
en
Experiance in AR

Explore published articles in an immersive Augmented Reality environment. Our platform converts research papers into interactive 3D books, allowing readers to view and interact with content using AR and VR compatible devices.

Read in 3D

Your published article is automatically converted into a realistic 3D book. Flip through pages and read research papers in a more engaging and interactive format.

Article Matrices
Total Views: 2345
Total Downloads: 1069
2026 Trends
Related Research

Published Article

It is proved existence and uniqueness of solution of the problem with initial and boundary conditions of Maxwell-Auzhan (we consider pure specular reflection from the boundary) for the nonstationary nonlinear one-dimensional Boltzmann’s twelve-moment system equations in space of functions continuous in time and summable in square by spatial variable.

Our website is actively being updated, and changes may occur frequently. Please clear your browser cache if needed. For feedback or error reporting, please email [email protected]

Request Access

Please fill out the form below to request access to this research paper. Your request will be reviewed by the editorial or author team.
X

Quote and Order Details

Contact Person

Invoice Address

Notes or Comments

This is the heading

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Ut elit tellus, luctus nec ullamcorper mattis, pulvinar dapibus leo.

High-quality academic research articles on global topics and journals.

Mixed Value Problem for a One-Dimensional Nonlinear Nonstationary Twelve moment BoltzmannS System Equations with the Maxwell-Auzhan Boundary Conditions

Sh. Akimzhanova
Sh. Akimzhanova Satbayev University

Research Journals