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| Main Author: | |
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| Format: | Preprint |
| Published: |
2019
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1910.07170 |
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| _version_ | 1866913394870714368 |
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| author | Jin, Chunyin |
| author_facet | Jin, Chunyin |
| contents | In this paper, we investigate existence of global-in-time strong solutions to the kinetic Cucker--Smale model coupled with the Stokes equations in the whole space. By introducing a weighted Sobolev space and using space-time estimates for the linear non-stationary Stokes equations, we present a complete analysis on existence of global-in-time strong solutions to the coupled model, without any smallness requirements on initial data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1910_07170 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Global Existence of Strong Solutions to the Kinetic Cucker--Smale Model Coupled with the Stokes Equations Jin, Chunyin Analysis of PDEs In this paper, we investigate existence of global-in-time strong solutions to the kinetic Cucker--Smale model coupled with the Stokes equations in the whole space. By introducing a weighted Sobolev space and using space-time estimates for the linear non-stationary Stokes equations, we present a complete analysis on existence of global-in-time strong solutions to the coupled model, without any smallness requirements on initial data. |
| title | Global Existence of Strong Solutions to the Kinetic Cucker--Smale Model Coupled with the Stokes Equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/1910.07170 |