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Finite-energy travelling waves for the easy-plane Landau-Lifshitz equation

  • Rowan Juneman
  • Ze Li
  • Juncheng Wei
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Abstract

For every integer d≥2 and every subsonic speed c∈(0,1), we construct a nonconstant finite-energy travelling wave for the easy-plane Landau-Lifshitz equation on ℝd. This addresses the existence problem raised in the numerical work of Papanicolaou and Spathis. The profiles satisfy the travelling-wave equation in the sense of distributions and are smooth in dimension two.

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Cite

BibTeXRIS
BibTeX
@misc{juneman2026finiteenergy,
  title = {{Finite-energy travelling waves for the easy-plane Landau-Lifshitz equation}},
  author = {Rowan Juneman and Ze Li and Juncheng Wei},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.41470},
  eprint = {2610.41470},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.41470},
}
RIS
TY  - UNPB
TI  - Finite-energy travelling waves for the easy-plane Landau-Lifshitz equation
AU  - Rowan Juneman
AU  - Ze Li
AU  - Juncheng Wei
PY  - 2026
DA  - 2026/10/30
PB  - arXiv
DO  - 10.48550/arxiv.2610.41470
UR  - https://arxiv.org/abs/2610.41470
AB  - For every integer d≥2 and every subsonic speed c∈(0,1), we construct a nonconstant finite-energy travelling wave for the easy-plane Landau-Lifshitz equation on ℝ^d. This addresses the existence problem raised in the numerical work of Papanicolaou and Spathis. The profiles satisfy the travelling-wave equation in the sense of distributions and are smooth in dimension two.
ER  -