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Axially symmetric and latitudinally propagating nonlinear patterns in rotating spherical convection
Kong, Dali1; Zhang, Keke2,3; Lam, Kameng3; Willis, Ashley P.4
2018-09-06
Source PublicationPHYSICAL REVIEW E
ISSN2470-0045
Volume98Issue:3Pages:5
Corresponding AuthorKong, Dali()
AbstractWe report a nonlinear phenomenon discovered in the classical problem of thermal convection in rapidly rotating, self-gravitating, internally heated Boussinesq fluid spheres. When linear convective instability (the most unstable mode of convection) is in the form of an axially symmetric, equatorially antisymmetric torsional oscillation, its equatorial symmetry must be broken by nonlinear effects and, consequently, the key properties of the primary solution bifurcating from the instability cannot be predicted on the basis of linear solutions at the onset of convection. We reveal that, when the supercritical Rayleigh number is in the vicinity of its critical value, the primary nonlinear solution is in the form of an axially symmetric, equatorially nonsymmetric, latitudinally propagating spatiotemporal pattern whose amplitude varies periodically, representing an unusual nonlinear phenomenon of thermal convection in rotating fluid spheres.
DOI10.1103/PhysRevE.98.031101
WOS KeywordSHELLS
Indexed BySCI
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Fluids & Plasmas ; Physics, Mathematical
WOS IDWOS:000443920100001
PublisherAMER PHYSICAL SOC
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/21941
Collection中国科学院紫金山天文台
Corresponding AuthorKong, Dali
Affiliation1.Shanghai Astron Observ, Key Lab Planetary Sci, Shanghai 200030, Peoples R China
2.Univ Exeter, Coll Engn Math & Phys Sci, Exeter EX4 4QE, Devon, England
3.Macau Univ Sci & Technol, Lunar & Planetary Sci Lab, Macau, Peoples R China
4.Univ Sheffield, Sch Math & Stat, Sheffield S3 7RH, S Yorkshire, England
Recommended Citation
GB/T 7714
Kong, Dali,Zhang, Keke,Lam, Kameng,et al. Axially symmetric and latitudinally propagating nonlinear patterns in rotating spherical convection[J]. PHYSICAL REVIEW E,2018,98(3):5.
APA Kong, Dali,Zhang, Keke,Lam, Kameng,&Willis, Ashley P..(2018).Axially symmetric and latitudinally propagating nonlinear patterns in rotating spherical convection.PHYSICAL REVIEW E,98(3),5.
MLA Kong, Dali,et al."Axially symmetric and latitudinally propagating nonlinear patterns in rotating spherical convection".PHYSICAL REVIEW E 98.3(2018):5.
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