PreprintCC BY 4.0arXiv
Bubble Tree Convergence for Minimisers of a Regularised Baby-Skyrme Model
Abstract
We study degree $1$ minimisers u: (Σ,g) → S2 for a Baby-Skyrme model with a Sacks-Uhlenbeck regularisation term Eα(u) = 1/2 ∫Σ (1+| ∇ u |2)α+1 −1 dvg and establish convergence of degree $1$ minimisers to a simple bubble tree as α→ 0. We also obtain a new no-neck result for the classical Sacks-Uhlenbeck energy Eα.
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BibTeX
@misc{woodward2026bubble,
title = {{Bubble Tree Convergence for Minimisers of a Regularised Baby-Skyrme Model}},
author = {Sebastian Woodward},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.37457},
eprint = {2610.37457},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.37457},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Bubble Tree Convergence for Minimisers of a Regularised Baby-Skyrme Model
AU - Sebastian Woodward
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.37457
UR - https://arxiv.org/abs/2610.37457
AB - We study degree $1$ minimisers u: (Σ,g) → S^2 for a Baby-Skyrme model with a Sacks-Uhlenbeck regularisation term E^α(u) = 1/2 ∫_Σ (1+| ∇ u |^2)^α+1 −1 dv_g and establish convergence of degree $1$ minimisers to a simple bubble tree as α→ 0. We also obtain a new no-neck result for the classical Sacks-Uhlenbeck energy E^α.
ER -