On plane oscillations of the cold plasma in a constant magnetic field
- Authors: Rozanova O.S.1
-
Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 69, No 4 (2023)
- Pages: 685-696
- Section: Articles
- URL: https://journals.rudn.ru/CMFD/article/view/37484
- DOI: https://doi.org/10.22363/2413-3639-2023-69-4-685-696
- EDN: https://elibrary.ru/ZKHDVY
Cite item
Full Text
Abstract
-
About the authors
O. S. Rozanova
Lomonosov Moscow State University
Author for correspondence.
Email: rozanova@mech.math.msu.su
Moscow, Russia
References
- Розанова О. С., Успенская О. В. О свойствах решения задачи Коши для двумерного уравнения переноса на вращающейся плоскости// Вестн. Моск. ун-та. Сер. 1. Мат. Мех. - 2021. - № 1. - C. 3-10.
- Alexandrov A. F., Bogdankevich L. S., Rukhadze A. A. Principles of plasma electrodynamics. - Berlin-Heidelberg: Springer, 1984.
- Chizhonkov E. V. Mathematical aspects of modelling oscillations and wake waves in plasma. - Boca Raton: CRC Press, 2019.
- Gorbunov L. M., Frolov A. A., Chizhonkov E. V., Andreev N. E. Breaking of nonlinear cylindrical plasma oscillations// Plasma Phys. Rep. - 2010. - 36, № 4. - C. 345-356.
- Dafermos C. M. Hyperbolic conservation laws in continuum physics. - Berlin-Heidelberg: Springer, 2016.
- Davidson R. C. Methods in nonlinear plasma theory. - New York: Acad. Press, 1972.
- Esarey E., Schroeder C. B., Leemans W. P. Physics of laser-driven plasma-based electron accelerators// Rev. Mod. Phys. - 2009. - 81. - C. 1229-1285.
- Freiling G. A survey of nonsymmetric Riccati equations// Linear Algebra Appl. - 2002. - 351-352.- C. 243-270.
- Ginzburg V. L. Propagation of electromagnetic waves in plasma. - New York: Pergamon, 1970.
- Liu H., E. Tadmor Rotation prevents nite-time breakdown// Phys. D. Nonlinear Phenom. - 2004. - 188. - C. 262-276.
- Reid W. T. Riccati differential equations. - New York: Academic Press, 1972.
- Rozanova O. S. On the behavior of multidimensional radially symmetric solutions of the repulsive Euler-Poisson equations// Phys. D: Nonlinear Phenom. - 2022. - 443. - 133578.
- Rozanova O. S. On the properties of multidimensional electrostatic oscillations of an electron plasma// Math. Meth. Appl. Sci. - 2023. - 46. - C. 7557-7571.
- Rozanova O. S., Chizhonkov E. V. On the conditions for the breaking of oscillations in a cold plasma// Z. Angew. Math. Phys. - 2021. - 72. - 13.
- Rozanova O. S., Chizhonkov E. V. The influence of an external magnetic eld on cold plasma oscillations// Z. Angew. Math. Phys. - 2022. - 73. - C. 249.
- Rozanova O., Turzynsky M. On the properties of a ne solutions of cold plasma equations// Commun. Math. Sci. - 2024. - 22. - в печати.
- Sheppard C. J. R. Cylindrical lenses - focusing and imaging: a review// Appl. Optics. - 2013. - 52.- C. 538-545.