Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2606.01430 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914621673177088 |
|---|---|
| author | Dutta, Shilpa |
| author_facet | Dutta, Shilpa |
| contents | We present a variational approach to ferronematics in a three dimensional setting. The ferronematic energy functional is described by two established theories: the Landau-de Gennes energy to explain the nematic part, the micromagnetic energy to explain the magnetic part, and coupling energies between them. We explicitly include the nonlocal stray field energy in a bulk setting and the coupling energy accounting for the nematic and stray field interaction. We prove the existence of an energy minimizer for the introduced ferronematic energy functional in a bulk setting. We then provide a reduced local ferronematic energy in a two-dimensional setting via $Γ$-convergence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_01430 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A variational approach to ferronematics with a dimension reduction Dutta, Shilpa Analysis of PDEs We present a variational approach to ferronematics in a three dimensional setting. The ferronematic energy functional is described by two established theories: the Landau-de Gennes energy to explain the nematic part, the micromagnetic energy to explain the magnetic part, and coupling energies between them. We explicitly include the nonlocal stray field energy in a bulk setting and the coupling energy accounting for the nematic and stray field interaction. We prove the existence of an energy minimizer for the introduced ferronematic energy functional in a bulk setting. We then provide a reduced local ferronematic energy in a two-dimensional setting via $Γ$-convergence. |
| title | A variational approach to ferronematics with a dimension reduction |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2606.01430 |