Journal article
One-dimensional ferronematics in a channel: order reconstruction, bifurcations and multistability
- Abstract:
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We study a model system with nematic and magnetic order, within a channel geometry modeled by an interval, $[-D, D]$. The system is characterized by a tensor-valued nematic order parameter ${{Q}}$ and a vector-valued magnetization ${{M}}$, and the observable states are modeled as stable critical points of an appropriately defined free energy which includes a nemato-magnetic coupling term, characterized by a parameter $c$. We (i) derive $L^\infty$ bounds for ${{Q}}$ and ${{M}}$; (ii) prove a u...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, 1.5MB, Terms of use)
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- Publisher copy:
- 10.1137/21M1400171
Authors
Funding
+ Engineering and Physical Sciences Research Council
More from this funder
Grant:
MA/4177651
EP/R029423/1
Bibliographic Details
- Publisher:
- Society for Industrial and Applied Mathematics
- Journal:
- SIAM Journal on Applied Mathematics More from this journal
- Volume:
- 82
- Issue:
- 2
- Pages:
- 694–719
- Publication date:
- 2022-04-27
- Acceptance date:
- 2021-11-04
- DOI:
- EISSN:
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1095-712X
- ISSN:
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0036-1399
Item Description
- Language:
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English
- Keywords:
- Pubs id:
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1207441
- Local pid:
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pubs:1207441
- Deposit date:
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2021-11-04
Terms of use
- Copyright holder:
- Society for Industrial and Applied Mathematics
- Copyright date:
- 2022
- Rights statement:
- © 2022 Society for Industrial and Applied Mathematics.
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