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COMPRESSIBLE NON-ISENTROPIC BIPOLAR NAVIER-STOKES-POISSON SYSTEM IN R-3
Hsiao Ling1; Li Hailiang2; Yang Tong3; Zou Chen4
2011-11-01
Source PublicationACTA MATHEMATICA SCIENTIA
ISSN0252-9602
Volume31Issue:6Pages:2169-2194
AbstractThe compressible non-isentropic bipolar Navier-Stokes-Poisson (BNSP) system is investigated in R-3 in the present paper, and the optimal time decay rates of global strong solution are shown. For initial data being a perturbation of equilibrium state in H-l (R-3) boolean AND B-1,1(-s) (R-3) for l >= 4 and s is an element of (0, 1], it is shown that the density and temperature for each charged particle (like electron or ion) decay at the same optimal rate (1 + t)-3/4 but the momentum for each particle decays at the optimal rate (1 + t)-1/4 - s/2 which is slower than the rate (1 + t)-3/4-s/2 for the compressible Navier-Stokes (NS) equations [19] for same initial data. However, the total momentum tends to the constant state at the rate (1+t)-3/4 as well, due to the interplay interaction of charge particles which counteracts the influence of electric field.
KeywordNon-isentropic bipolar Navier-Stokes-Poisson system optimal time decay rate
Language英语
Funding ProjectNSFC[10871134] ; NSFC[10910401059] ; funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality[PHR201006107] ; Hong Kong, City Univ.[103108]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000297610800008
PublisherELSEVIER SCIENCE INC
Citation statistics
Cited Times:7[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/12856
Collection中国科学院数学与系统科学研究院
Affiliation1.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Capital Normal Univ, Dept Math, Beijing 100048, Peoples R China
3.City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China
4.Peking Univ, Dept Mech & Aerosp Engn, Beijing 100871, Peoples R China
Recommended Citation
GB/T 7714
Hsiao Ling,Li Hailiang,Yang Tong,et al. COMPRESSIBLE NON-ISENTROPIC BIPOLAR NAVIER-STOKES-POISSON SYSTEM IN R-3[J]. ACTA MATHEMATICA SCIENTIA,2011,31(6):2169-2194.
APA Hsiao Ling,Li Hailiang,Yang Tong,&Zou Chen.(2011).COMPRESSIBLE NON-ISENTROPIC BIPOLAR NAVIER-STOKES-POISSON SYSTEM IN R-3.ACTA MATHEMATICA SCIENTIA,31(6),2169-2194.
MLA Hsiao Ling,et al."COMPRESSIBLE NON-ISENTROPIC BIPOLAR NAVIER-STOKES-POISSON SYSTEM IN R-3".ACTA MATHEMATICA SCIENTIA 31.6(2011):2169-2194.
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