On blow-up trees for the harmonic map heat flow from $B^2$ to $S^2$
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915419932065792 |
|---|---|
| author | Samuelian, Dylan |
| author_facet | Samuelian, Dylan |
| contents | We consider finite-time and $k$-equivariant solutions to the harmonic map heat flow from $B^2$ to $S^2$ under general time-dependent boundary data and prove that the bubble tree decomposition contains only one bubble. The method relies on the Maximum and Comparison Principle. We also exhibit solutions blowing up in infinite time for any $k \geq 1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_23583 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On blow-up trees for the harmonic map heat flow from $B^2$ to $S^2$ Samuelian, Dylan Analysis of PDEs We consider finite-time and $k$-equivariant solutions to the harmonic map heat flow from $B^2$ to $S^2$ under general time-dependent boundary data and prove that the bubble tree decomposition contains only one bubble. The method relies on the Maximum and Comparison Principle. We also exhibit solutions blowing up in infinite time for any $k \geq 1$. |
| title | On blow-up trees for the harmonic map heat flow from $B^2$ to $S^2$ |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2507.23583 |