Blowup stability of wave maps without symmetry
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910002128617472 |
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| author | Donninger, Roland Moscatelli, Frederick |
| author_facet | Donninger, Roland Moscatelli, Frederick |
| contents | We study wave maps from $(1+d)$-dimensional Minkowski space into the $d$-sphere without any symmetry assumptions. There exists an explicit self-similar blowup solution and we prove that this solution is asymptotically stable under small perturbations of the initial data. The proof is fully rigorous and requires no numerical input whatsoever. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_19516 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Blowup stability of wave maps without symmetry Donninger, Roland Moscatelli, Frederick Analysis of PDEs Mathematical Physics We study wave maps from $(1+d)$-dimensional Minkowski space into the $d$-sphere without any symmetry assumptions. There exists an explicit self-similar blowup solution and we prove that this solution is asymptotically stable under small perturbations of the initial data. The proof is fully rigorous and requires no numerical input whatsoever. |
| title | Blowup stability of wave maps without symmetry |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2601.19516 |