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PreprintCC BY 4.0arXiv

Lojasiewicz Estimates for a Regularised Baby-Skyrme Model

Abstract

We investigate the structure of degree $1$ minimisers of a Baby-Skyrme energy of maps u:Σ→ S2 regularised by a Sacks-Uhlenbeck perturbation, and we establish quantitative convergence rates to a simple bubble tree consisting of a single degree $1$ bubble and a constant base map.

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BibTeX
@misc{woodward2026lojasiewicz,
  title = {{Lojasiewicz Estimates for a Regularised Baby-Skyrme Model}},
  author = {Sebastian Woodward},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.37499},
  eprint = {2610.37499},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.37499},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Lojasiewicz Estimates for a Regularised Baby-Skyrme Model
AU  - Sebastian Woodward
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.37499
UR  - https://arxiv.org/abs/2610.37499
AB  - We investigate the structure of degree $1$ minimisers of a Baby-Skyrme energy of maps u:Σ→ S^2 regularised by a Sacks-Uhlenbeck perturbation, and we establish quantitative convergence rates to a simple bubble tree consisting of a single degree $1$ bubble and a constant base map.
ER  -