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Asymptotic stability of Bloch wall for dispersive Landau-Lifshitz equation

  • Slim Ibrahim
  • Christof Melcher
  • Ikkei Shimizu
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Abstract

We consider the Bloch wall stationary solutions to the dispersive Landau-Lifshitz equation with Dzyaloshinskii-Moriya interaction (DMI). First, we establish a dichotomy for the orbital stability and instability depending on the value of a coupling constant. Then, under symmetric perturbations, we prove that the Bloch wall is asymptotically stable in the energetically favorable regime.

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Cite

BibTeXRIS
BibTeX
@misc{ibrahim2026asymptotic,
  title = {{Asymptotic stability of Bloch wall for dispersive Landau-Lifshitz equation}},
  author = {Slim Ibrahim and Christof Melcher and Ikkei Shimizu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.22978},
  eprint = {2610.22978},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.22978},
}
RIS
TY  - UNPB
TI  - Asymptotic stability of Bloch wall for dispersive Landau-Lifshitz equation
AU  - Slim Ibrahim
AU  - Christof Melcher
AU  - Ikkei Shimizu
PY  - 2026
DA  - 2026/10/16
PB  - arXiv
DO  - 10.48550/arxiv.2610.22978
UR  - https://arxiv.org/abs/2610.22978
AB  - We consider the Bloch wall stationary solutions to the dispersive Landau-Lifshitz equation with Dzyaloshinskii-Moriya interaction (DMI). First, we establish a dichotomy for the orbital stability and instability depending on the value of a coupling constant. Then, under symmetric perturbations, we prove that the Bloch wall is asymptotically stable in the energetically favorable regime.
ER  -