Nonlinear Stability of nonsingular solitons of the Principal Chiral Field equation
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866908832535412736 |
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| author | Alejo, Miguel Á. Muñoz, Claudio Trespalacios, Jessica |
| author_facet | Alejo, Miguel Á. Muñoz, Claudio Trespalacios, Jessica |
| contents | We consider the Principal Chiral Field model posed in 1+1 dimensions into the Lie group $\text{SL}(2,\mathbb R)$. In this work we show the nonlinear stability of small enough nonsingular solitons. The method of proof involves the use of vector field methods as in a previous work by the second and third authors dealing with the Einstein's field equations under the Belinski-Zakharov formalism, extending for all times the size of suitable null weighted norms of the perturbations at time zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09969 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonlinear Stability of nonsingular solitons of the Principal Chiral Field equation Alejo, Miguel Á. Muñoz, Claudio Trespalacios, Jessica Analysis of PDEs We consider the Principal Chiral Field model posed in 1+1 dimensions into the Lie group $\text{SL}(2,\mathbb R)$. In this work we show the nonlinear stability of small enough nonsingular solitons. The method of proof involves the use of vector field methods as in a previous work by the second and third authors dealing with the Einstein's field equations under the Belinski-Zakharov formalism, extending for all times the size of suitable null weighted norms of the perturbations at time zero. |
| title | Nonlinear Stability of nonsingular solitons of the Principal Chiral Field equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2408.09969 |