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On Two-flow instability of dynamical equilibrium states of vlasov-poisson plasma. / Gubarev, Yuriy G.

Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov. Springer International Publishing AG, 2020. p. 161-167.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

Harvard

Gubarev, YG 2020, On Two-flow instability of dynamical equilibrium states of vlasov-poisson plasma. in Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov. Springer International Publishing AG, pp. 161-167. https://doi.org/10.1007/978-3-030-38870-6_21

APA

Gubarev, Y. G. (2020). On Two-flow instability of dynamical equilibrium states of vlasov-poisson plasma. In Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov (pp. 161-167). Springer International Publishing AG. https://doi.org/10.1007/978-3-030-38870-6_21

Vancouver

Gubarev YG. On Two-flow instability of dynamical equilibrium states of vlasov-poisson plasma. In Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov. Springer International Publishing AG. 2020. p. 161-167 doi: 10.1007/978-3-030-38870-6_21

Author

Gubarev, Yuriy G. / On Two-flow instability of dynamical equilibrium states of vlasov-poisson plasma. Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov. Springer International Publishing AG, 2020. pp. 161-167

BibTeX

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title = "On Two-flow instability of dynamical equilibrium states of vlasov-poisson plasma",
abstract = "The problem on linear stability of the subclass of one-dimensional (1D) states of dynamic equilibrium boundless electrically neutral collisionless plasma in electrostatic approximation (the Vlasov-Poisson plasma) is studied. By the direct Lyapunov method, we prove that these equilibrium states are absolutely unstable relative to small 1D perturbations when the Vlasov-Poisson plasma contains electrons and the only grade of ions with stationary distribution functions which are isotropic on the physical space but dependent on velocity.We state sufficient conditions for linear practical instability; for small 1D perturbations growing over time, we construct the a priori exponential lower estimate and describe the initial data. In addition, we construct the analytical example of the studied 1D states of dynamic equilibrium and their small perturbations of the same type of symmetry growing over time according to the obtained estimate.",
author = "Gubarev, {Yuriy G.}",
note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2020.",
year = "2020",
month = apr,
day = "3",
doi = "10.1007/978-3-030-38870-6_21",
language = "English",
isbn = "9783030388690",
pages = "161--167",
booktitle = "Continuum Mechanics, Applied Mathematics and Scientific Computing",
publisher = "Springer International Publishing AG",
address = "Switzerland",

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RIS

TY - CHAP

T1 - On Two-flow instability of dynamical equilibrium states of vlasov-poisson plasma

AU - Gubarev, Yuriy G.

N1 - Publisher Copyright: © Springer Nature Switzerland AG 2020.

PY - 2020/4/3

Y1 - 2020/4/3

N2 - The problem on linear stability of the subclass of one-dimensional (1D) states of dynamic equilibrium boundless electrically neutral collisionless plasma in electrostatic approximation (the Vlasov-Poisson plasma) is studied. By the direct Lyapunov method, we prove that these equilibrium states are absolutely unstable relative to small 1D perturbations when the Vlasov-Poisson plasma contains electrons and the only grade of ions with stationary distribution functions which are isotropic on the physical space but dependent on velocity.We state sufficient conditions for linear practical instability; for small 1D perturbations growing over time, we construct the a priori exponential lower estimate and describe the initial data. In addition, we construct the analytical example of the studied 1D states of dynamic equilibrium and their small perturbations of the same type of symmetry growing over time according to the obtained estimate.

AB - The problem on linear stability of the subclass of one-dimensional (1D) states of dynamic equilibrium boundless electrically neutral collisionless plasma in electrostatic approximation (the Vlasov-Poisson plasma) is studied. By the direct Lyapunov method, we prove that these equilibrium states are absolutely unstable relative to small 1D perturbations when the Vlasov-Poisson plasma contains electrons and the only grade of ions with stationary distribution functions which are isotropic on the physical space but dependent on velocity.We state sufficient conditions for linear practical instability; for small 1D perturbations growing over time, we construct the a priori exponential lower estimate and describe the initial data. In addition, we construct the analytical example of the studied 1D states of dynamic equilibrium and their small perturbations of the same type of symmetry growing over time according to the obtained estimate.

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U2 - 10.1007/978-3-030-38870-6_21

DO - 10.1007/978-3-030-38870-6_21

M3 - Chapter

AN - SCOPUS:85114654009

SN - 9783030388690

SP - 161

EP - 167

BT - Continuum Mechanics, Applied Mathematics and Scientific Computing

PB - Springer International Publishing AG

ER -

ID: 34190447