Far Field Asymptotics of Nematic Flows Around a Small Spherical Particle
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913488411033600 |
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| author | Golovaty, Dmitry Yip, Nung Kwan |
| author_facet | Golovaty, Dmitry Yip, Nung Kwan |
| contents | Given a small spherical particle, we consider flow of a nematic liquid crystal in the corresponding exterior domain. Our focus is on precise far field asymptotic behavior of the flow in a parameter regime when the governing equations can be reduced to a system of linear partial differential equations. We are able to analytically characterize the velocity of the flow and compare it to the classical expression for the Stokes flow. The expression for velocity away from the particle can be computed either numerically or symbolically. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_00939 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Far Field Asymptotics of Nematic Flows Around a Small Spherical Particle Golovaty, Dmitry Yip, Nung Kwan Analysis of PDEs Soft Condensed Matter Given a small spherical particle, we consider flow of a nematic liquid crystal in the corresponding exterior domain. Our focus is on precise far field asymptotic behavior of the flow in a parameter regime when the governing equations can be reduced to a system of linear partial differential equations. We are able to analytically characterize the velocity of the flow and compare it to the classical expression for the Stokes flow. The expression for velocity away from the particle can be computed either numerically or symbolically. |
| title | Far Field Asymptotics of Nematic Flows Around a Small Spherical Particle |
| topic | Analysis of PDEs Soft Condensed Matter |
| url | https://arxiv.org/abs/2409.00939 |