Research output: Contribution to journal › Article › peer-review
Two-Flow Instability of One Class of Spherically Symmetric Dynamic Equilibrium States of Vlasov-Poisson Plasma. / Bibilova, S. A.; Gubarev, Y. G.
In: Acta Applicandae Mathematicae, Vol. 187, No. 1, 2, 10.2023.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Two-Flow Instability of One Class of Spherically Symmetric Dynamic Equilibrium States of Vlasov-Poisson Plasma
AU - Bibilova, S. A.
AU - Gubarev, Y. G.
PY - 2023/10
Y1 - 2023/10
N2 - The problem on linear stability of particular class of spherically symmetric states of dynamic equilibrium of the Vlasov-Poisson plasma, which contains electrons and a single species of ions, is considered. An absolute instability of these equilibrium states with respect to small spherically symmetric perturbations is proved by the direct Lyapunov method in the case when stationary distribution functions of electrons and ions are isotropic over the physical continuum, but variable in the velocity space. The a priori exponential lower estimate, which indicates the growth over time for the studied small perturbations, is derived. The constructive sufficient conditions for linear practical instability are identified. The illustrative analytical examples for the considered states of dynamic equilibrium and their small perturbations, which grow in time according to the obtained estimate, are constructed.
AB - The problem on linear stability of particular class of spherically symmetric states of dynamic equilibrium of the Vlasov-Poisson plasma, which contains electrons and a single species of ions, is considered. An absolute instability of these equilibrium states with respect to small spherically symmetric perturbations is proved by the direct Lyapunov method in the case when stationary distribution functions of electrons and ions are isotropic over the physical continuum, but variable in the velocity space. The a priori exponential lower estimate, which indicates the growth over time for the studied small perturbations, is derived. The constructive sufficient conditions for linear practical instability are identified. The illustrative analytical examples for the considered states of dynamic equilibrium and their small perturbations, which grow in time according to the obtained estimate, are constructed.
KW - Direct Lyapunov method
KW - Dynamic equilibrium states
KW - Instability
KW - Vlasov-Poisson plasma
UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85168695506&origin=inward&txGid=ee13a4783658c3fc251d023be9905351
UR - https://www.mendeley.com/catalogue/ab2a782b-3dd1-36dc-b0e5-3465831cd133/
U2 - 10.1007/s10440-023-00595-1
DO - 10.1007/s10440-023-00595-1
M3 - Article
VL - 187
JO - Acta Applicandae Mathematicae
JF - Acta Applicandae Mathematicae
SN - 0167-8019
IS - 1
M1 - 2
ER -
ID: 55032653