Global solvability of a nonlinear Boltzmann equation
| dc.contributor.author | Akysh (Akishev), A.Sh. | |
| dc.date.accessioned | 2022-10-05T05:49:54Z | |
| dc.date.available | 2022-10-05T05:49:54Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | In this paper, based on the splitting method scheme, the existence and uniqueness theorem on the whole time interval t 2 [0; T); T 1 for the full nonlinear Boltzmann equation in the nonequilibrium case is proved where the intermolecular interactions are hard-sphere molecule and central forces. Considering the existence of a bounded solution in the space C, the strict positivity of the solution to the full nonlinear Boltzmann equation is proved when the initial function is positive. On the basis of this some mathematical justification of the Htheorem of Boltzmann is shown. | ru_RU |
| dc.identifier.citation | Akysh (Akishev), A.Sh. Global solvability of a nonlinear Boltzmann equation/A. Sh. Akysh (Akishev)//Bulletin of the Karaganda University. Mathematics series.- 2022.- № 3(107). – pp. 4-16. | ru_RU |
| dc.identifier.issn | 2663–5011 | |
| dc.identifier.uri | https://rep.buketov.edu.kz//handle/data/13869 | |
| dc.language.iso | en | ru_RU |
| dc.publisher | Karagandy University of the name of acad. E.A. Buketov | ru_RU |
| dc.relation.ispartofseries | Bulletin of the Karaganda University. Mathematics series.;№ 3(107) | |
| dc.subject | full nonlinear Boltzmann equation | ru_RU |
| dc.subject | splitting method | ru_RU |
| dc.subject | existence and uniqueness theorem on the whole time for the nonlinear Boltzmann equation | ru_RU |
| dc.subject | positivity of the solution to the nonlinear Boltzmann equation | ru_RU |
| dc.subject | Boltzmann’s H-theorem. | ru_RU |
| dc.title | Global solvability of a nonlinear Boltzmann equation | ru_RU |
| dc.title.alternative | Бейсызықты Больцман теңдеуінің барлық уақытта шешілетіндігі | ru_RU |
| dc.title.alternative | Глобальная разрешимость нелинейного уравнения Больцмана | ru_RU |
| dc.type | Article | ru_RU |