Linear stability analysis of the Couette flow for the two dimensional Euler-Poisson system
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Pu, Xueke
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Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R ChinaGuangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
Pu, Xueke
[1
]
Zhou, Wenli
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Guangxi Normal Univ, Sch Math & Stat, Guilin 541006, Peoples R ChinaGuangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
Zhou, Wenli
[2
]
Bian, Dongfen
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Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R ChinaGuangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
Bian, Dongfen
[3
]
机构:
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
[2] Guangxi Normal Univ, Sch Math & Stat, Guilin 541006, Peoples R China
[3] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
This paper is concerned with the linear stability analysis for the Couette flow of the Euler-Poisson system for both ionic fluid and electronic fluid in the domain TxR. We establish upper and lower bounds of the linearized solutions of the Euler-Poisson system near Couette flow. In particular, inviscid damping for the solenoidal component of the velocity is obtained.
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[21]
Holm D. D., 1985, Physics Reports, V123, P1, DOI 10.1016/0370-1573(85)90028-6
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Univ Calif Los Angeles, Dept Mech & Aerosp Engn, Los Angeles, CA 90095 USAUniv Calif Los Angeles, Dept Mech & Aerosp Engn, Los Angeles, CA 90095 USA
Hu, S
;
Zhong, XL
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Univ Calif Los Angeles, Dept Mech & Aerosp Engn, Los Angeles, CA 90095 USAUniv Calif Los Angeles, Dept Mech & Aerosp Engn, Los Angeles, CA 90095 USA
机构:
Univ Calif Los Angeles, Dept Mech & Aerosp Engn, Los Angeles, CA 90095 USAUniv Calif Los Angeles, Dept Mech & Aerosp Engn, Los Angeles, CA 90095 USA
Hu, S
;
Zhong, XL
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Univ Calif Los Angeles, Dept Mech & Aerosp Engn, Los Angeles, CA 90095 USAUniv Calif Los Angeles, Dept Mech & Aerosp Engn, Los Angeles, CA 90095 USA