中文版 | English
Title

Revisit of the Faddeev Model in Dimension Two

Author
Corresponding AuthorLei, Zhen
Publication Years
2022-09-01
DOI
Source Title
ISSN
0252-9599
EISSN
1860-6261
Volume43Issue:5
Abstract
The Faddeev model is a fundamental model in relativistic quantum field theory used to model elementary particles. The Faddeev model can be regarded as a system of non-linear wave equations with both quasi-linear and semi-linear non-linearities, which is particularly challenging in two space dimensions. A key feature of the system is that there exist undifferentiated wave components in the non-linearities, which somehow causes extra difficulties. Nevertheless, the Cauchy problem in two space dimenions was tackled by Lei-Lin-Zhou (2011) with small, regular, and compactly supported initial data, using Klainerman's vector field method enhanced by a novel angular-radial anisotropic technique. In the present paper, the authors revisit the Faddeev model and remove the compactness assumptions on the initial data by Lei-Lin-Zhou (2011). The proof relies on an improved L-2 norm estimate of the wave components in Theorem 3.1 and a decomposition technique for non-linearities of divergence form.
Keywords
URL[Source Record]
Indexed By
Language
English
SUSTech Authorship
First
Funding Project
National Natural Science Foundation of China[11725102] ; China Postdoctoral Science Foundation[2021M690702] ; National Support Program for Young Top-Notch Talents and Shanghai Science and Technology Program["21JC1400600","19JC1420101"]
WOS Research Area
Mathematics
WOS Subject
Mathematics
WOS Accession No
WOS:000883418100009
Publisher
ESI Research Field
MATHEMATICS
Data Source
Web of Science
Citation statistics
Cited Times [WOS]:0
Document TypeJournal Article
Identifierhttp://kc.sustech.edu.cn/handle/2SGJ60CL/417069
DepartmentDepartment of Mathematics
Affiliation
1.Southern Univ Sci & Technol, SUSTech Int Ctr Math, Dept Math, Shenzhen 518055, Peoples R China
2.Fudan Univ, Shanghai Ctr Math Sci, Sch Math Sci, Shanghai 200433, Peoples R China
First Author AffilicationDepartment of Mathematics
First Author's First AffilicationDepartment of Mathematics
Recommended Citation
GB/T 7714
Dong, Shijie,Lei, Zhen. Revisit of the Faddeev Model in Dimension Two[J]. CHINESE ANNALS OF MATHEMATICS SERIES B,2022,43(5).
APA
Dong, Shijie,&Lei, Zhen.(2022).Revisit of the Faddeev Model in Dimension Two.CHINESE ANNALS OF MATHEMATICS SERIES B,43(5).
MLA
Dong, Shijie,et al."Revisit of the Faddeev Model in Dimension Two".CHINESE ANNALS OF MATHEMATICS SERIES B 43.5(2022).
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Revisit of the Fadde(219KB)Journal Article作者接受稿Restricted AccessCC BY-NC-SA
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