On the well-posedness of the Boltzmann's moment system of equations in fourth approximation
| dc.contributor.author | Issagali, Aizhan | |
| dc.date.accessioned | 2016-05-31T08:40:29Z | |
| dc.date.available | 2016-05-31T08:40:29Z | |
| dc.date.issued | 2016-05 | |
| dc.description.abstract | We study the one-dimensional non-linear non-stationary Boltzmann's moment system of equations in fourth approxi- mation with the tools developed by Sakabekov in [4],[5] and [6]. For the third approximation system Sakabekov proves the mass conservation law (cf. Theorem 2.1 in [4]) and discusses the existence and uniqueness of the solution (cf. Theorem in [6]). We extend the analysis of the existence and uniqueness of the solution to the fourth approximation system. In particular, for the fourth approximation system we discuss the well-posed initial and boundary value problem and obtain the a-priori estimate of the solution belonging to the space of functions, continuous in time and square summable by spatial variable. | ru_RU |
| dc.identifier.citation | Aizhan Issagali. 2016. On the well-posedness of the Boltzmann's moment system of equations in fourth approximation. Nazarbayev University. Capstone Project. Report. http://nur.nu.edu.kz/handle/123456789/1558 | ru_RU |
| dc.identifier.uri | http://nur.nu.edu.kz/handle/123456789/1558 | |
| dc.language.iso | en | ru_RU |
| dc.publisher | Nazarbayev University School of Science and Technology | |
| dc.rights | Attribution-NonCommercial-ShareAlike 3.0 United States | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/us/ | * |
| dc.subject | Boltzmann equation | ru_RU |
| dc.subject | moment system | ru_RU |
| dc.subject | initial and boundary value problem | ru_RU |
| dc.subject | hyperbolic partial differential equations | ru_RU |
| dc.subject | a-priori estimate | ru_RU |
| dc.title | On the well-posedness of the Boltzmann's moment system of equations in fourth approximation | ru_RU |
| dc.type | Capstone Project | ru_RU |