Preview

Вестник Государственного университета просвещения. Серия: Физика-Математика

Расширенный поиск

ГРАНИЧНЫЕ ЗАДАЧИ ДЛЯ ОДНОМЕРНОГО КИНЕТИЧЕСКОГО УРАВНЕНИЯ С ПОСТОЯННОЙ ЧАСТОТОЙ СТОЛКНОВЕНИЙ

Аннотация

Для одномерного линеаризованного кинетического уравнения получены аналитические решения задач о температурном скачке и слабом испарении (конденсации) в случае, когда частота столкновений молекул постоянна. Рассматривается линеаризованное одномерное кинетическое уравнение с интегралом столкновений БГК (Бхатнагар, Гросс и Крук) и диффузные граничные условия.

Об авторах

Анатолий Васильевич Латышев
Московский государственный областной университет
Россия


Александр Алексеевич Юшканов
Московский государственный областной университет
Россия


Список литературы

1. Bugrimov A.L., Latyshev A.V., Yushkanov A.A. The kinetic onedimensional equation with frequency of collisions, affine depending on the module molecular velocity // arXiv:1403.2068v1 [math-ph] 9 Mar 2014, 20pp.

2. Bugrimov A.L., Latyshev A.V., Yushkanov A.A. Boundary problems for the one-dimensional kinetic equation with frequency of collisions, affine depending on the module velocity // ArXiv:1403.5854, [math-ph] 23 Mar 2014, 30 pp.

3. Latyshev A.V., Yushkanov A.A. Kinetic equatios type Williams and their exact solutions. Monograph. M.: MGOU (Moscow State Regional University), 2004, 271 p. [russian].

4. Latyshev A.V. Application of case’ method to the solution of linear kinetic BGK equation in a problem about temperature jump // Appl. math. and mech. 1990. V. 54. Is. 4. P. 581-586. [russian].

5. Latyshev A.V., Yushkanov A.A. Boundary problems for model Boltzmann equation with frequency proportional to velocity of moleculs // Izvestiya Russian Academy of Science. Ser. Mechanika, Fluid and Gas (Russian "Fluids Dynamics"). 1993. 6. 143-155 pp. [russian].

6. Latyshev A.V., Yushkanov A.A. Analytical solution of the problem about strong evaporation (condensation) // Izvestiya Russian Academy of Science. Ser. Mechanika, Fluid and Gas (Russian "Fluids Dynamics"). 1993. 6. 143-155 pp. [russian].

7. Cassell J.S., Williams M.M.R. An exact solution of the temperature slip problem in rarefied gases // Transport Theory and Statist. Physics, 2(1), 81-90 (1972).

8. Latyshev A.V., Yushkanov A.A. Temperature jump and weak evaporatuion in molecular gases // J. of experim. and theor. physics. 1998. V. 114. Issue. 3(9). P. 956-971. [russian]. ISSN 2072-8387 ] Вестник МГОУ. Серия: Физика-Математика f 2014 / № 3

9. Latyshev A.V., Yushkanov A.A. The Smoluchowski problem in polyatomic gases // Letters in J. of Tech. Phys. 1998. V. 24. 17. P. 8590. [russian].

10. Latyshev A.V., Yushkanov A.A. Analytic solutions of boundary value problem for model kinetic equatins // Math. Models of Non-Linear Excitations, Transfer, Dynamics, and control in condensed Systems and Other Media. Edited by L.A. Uvarova and A.V. Latyshev. Kluwer Academic. New York-Moscow. 2001. P. 17-24.

11. Latyshev A.V., Yushkanov A.A. Smolukhowski problem for degenerate Bose gases // Theoretical and Mathematical Physics. Springer New York. Vol. 155, 3, June, 2008, pp. 936 - 948.

12. Latyshev A.V., Yushkanov A.A. Temperature jump in degenerate quantum gases in the presence of the Bose-Einstein condensate // Theor. Math. Phys. 2010. V. 162(1). P. 95-105 [russian].

13. Latyshev A.V., Yushkanov A.A. Temperature jump in degenerate quantum gases with the Bogoliubov excitation energy and in the presence of the Bose-Einstein condensate, Theor. Math. Phys., 165:1 (2010), 1358-1370.

14. Latyshev A.V., Yushkanov A.A. Smoluchowski problem for electrons in metal // Theor. Math. Phys. 2005, january, V. 142. 1. С. 93-111. [russian].

15. Latyshev A.V., Yushkanov A.A. Smoluchowski problem for metals with mirror-diffusive boundary conditions //Theor. and Math. Phys. October 2009, Volume 161, Is. 1, pp. 1403-1414.

16. Latyshev A.V., Yushkanov A.A. Boundary value problems for quantum gases. Monograph M.: MGOU, 2012, 266 p.[russian].

17. Cercignani С., Frezzoti A. Linearized analysis of a one-speed B.G.K. model in the case of strong condensation // Bulgarian Academy of sci. theor. appl. mech. Sofia. 1988. V. XIX. 3. 19-23 P.

18. Latyshev A.V., Yushkanov A.A. Analytical solution of onedimensional problem about moderate strong evaporation (and condensation) in half-space // Appl. mech. and tech. physics. 1993. 1. 102-109 p. [russian].

19. Vladimirov V.S., Zharinov V.V. Equations of mathematical physics. M.: Fizmatlit. 2000. 399 с. [russian].

20. Gakhov F.D. Boundary value problems. M.: Nauka. 640 p.[russian].


Рецензия

Просмотров: 54


Creative Commons License
Контент доступен под лицензией Creative Commons Attribution 4.0 License.


ISSN 2949-5083 (Print)
ISSN 2949-5067 (Online)