| Title | Revisit of the Faddeev Model in Dimension Two |
| Author | |
| Corresponding Author | Lei, Zhen |
| Publication Years | 2022-09-01
|
| DOI | |
| Source Title | |
| ISSN | 0252-9599
|
| EISSN | 1860-6261
|
| Volume | 43Issue: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 Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/417069 |
| Department | Department 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 Affilication | Department of Mathematics |
| First Author's First Affilication | Department 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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| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| Revisit of the Fadde（219KB） | Journal Article | 作者接受稿 | Restricted Access | CC BY-NC-SA | ||
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