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Список литературы
|
|
| |
| 1. |
Беляева Ю. О., “Стационарные решения уравнений Власова для высокотемпературной двукомпонентной плазмы”, Современ. Мат. Фундам. Направл., 62, 2016, 19–31  |
| 2. |
Беляева Ю. О., Скубачевский А. Л., “Об однозначной разрешимости первой смешанной задачи для системы уравнений Власова-Пуассона в бесконечном цилиндре”, Зап. науч. семин. ПОМИ, 477, 2018, 12–34 |
| 3. |
Boozer A. H., “Physics of magnetically confined plasmas”, Rev. Mod. Phys., 76 (2005), 1071–1141   |
| 4. |
Bostan M., “Gyrokinetic Vlasov equation in three dimensional setting. Second order approximation”, Multiscale Model. Simul., 8:5 (2010), 1923–1957    |
| 5. |
Brizard A. J., Hahm T. S., “Foundations of nonlinear gyrokinetic theory”, Rev. Mod. Phys., 79:2 (2007), 421–468 |
| 6. |
Cercignani C., The Boltzmann equation and its applications, Appl. Math. Sci., 67, Springer, New York, 1988 |
| 7. |
Chen F. F., Introduction to plasma physics and controlled fusion, Springer Int. Publ., 2016 |
| 8. |
Degond P., Filbet F., “On the asymptotic limit of the three dimensional Vlasov–Poisson system for large magnetic field: Formal derivation”, J. Stat. Phys., 165:4 (2016), 765–784 |
| 9. |
Dinklage A., et al., “Magnetic configuration effects on the Wendelstein $7-X$ stellarator”, Nature Physics, 14:8 (2018), 855–860 |
| 10. |
Frénod E., Sonnendrücker E., “Homogenization of the Vlasov equation and of the Vlasov–Poisson system with a strong external magnetic field”, Asymptot. Anal., 18:3-4 (1998), 193–213 |
| 11. |
Frieman E. A., Chen L., “Nonlinear gyrokinetic equations for low-frequency electromagnetic waves in general plasma equilibria”, Phys. Fluids, 25:3 (1982), 502–508 |
| 12. |
Golse F., Saint-Raymond L., “The Vlasov–Poisson system with strong magnetic field”, J. Math. Pures Appl. (9), 78:8 (1999), 791–817 |
| 13. |
Grad H., “Asymptotic theory of the Boltzmann equation”, Phys. Fluids, 6 (1963), 147–181 |
| 14. |
Hilbert D., “Begründung der kinetischen Gastheorie”, Math. Ann., 72:4 (1912), 562–577 |
| 15. |
Kessler T., Rjasanow S., Weisser S., “Vlasov–Poisson system tackled by particle simulation utilizing boundary element methods”, SIAM J. Sci. Comput., 42:1 (2020), B299–B326 |
| 16. |
Krommes J. A., “The gyrokinetic description of microturbulence in magnetized plasmas”, Annu. Rev. Fluid Mech., 44:1 (2012), 175–201 |
| 17. |
Pedersen T. S., et al., “First results from divertor operation in Wendelstein ${7-X}$”, Plasma Phys. Control. Fusion, 61:1 (2018), 014035 |
| 18. |
Possanner S., “Gyrokinetics from variational averaging: Existence and error bounds”, J. Math. Phys., 59:8 (2018), 082702 |
| 19. |
Шафранов В. Д., Бондаренко Б. Д., Гончаров Г. А., Лаврентьев О. А., Сахаров А. Д., “К истории исследований по управляемому термоядерному синтезу”, Успехи физ. наук, 44:8 (2001), 835–843 |
| 20. |
Sips A. C. C., et al., “Advanced scenarios for ITER operation”, Plasma Phys. Control. Fusion, 47:5A (2005), A19–A40 |
| 21. |
Веденяпин В. В., “Граничные задачи для стационарного уравнения Власова”, Докл. Акад. наук СССР, 20:4 (1986), 777–780 |
| 22. |
Веденяпин В. В., “О классификации стационарных решений уравнения Власова на торе и граничная задача”, Докл. Акад. наук СССР, 323:6 (1992), 1004–1006 |
| 23. |
Vedenyapin V. V., Sinitsyn A., Dulov E., Kinetic Boltzmann, Vlasov and related equations, Elsevier, Inc., Amsterdam, 2011 |
| 24. |
Vlasov A. A., “On vibration properties of electron gas”, J. Exp. Theor. Phys., 8:3 (1938), 291 |
