Global solution to the three-dimensional compressible flow of liquid crystals
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2012
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| _version_ | 1866929464082956288 |
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| author | Hu, Xianpeng Wu, Hao |
| author_facet | Hu, Xianpeng Wu, Hao |
| contents | The Cauchy problem for the three-dimensional compressible flow of nematic liquid crystals is considered. Existence and uniqueness of the global strong solution are established in critical Besov spaces provided that the initial datum is close to an equilibrium state $(1,{\bf 0}, \hat{\d})$ with a constant vector $\hat{\d}\in S^2$. The global existence result is proved via the local well-posedness and uniform estimates for proper linearized systems with convective terms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1206_2850 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | Global solution to the three-dimensional compressible flow of liquid crystals Hu, Xianpeng Wu, Hao Analysis of PDEs 35A05, 76A10, 76D03 The Cauchy problem for the three-dimensional compressible flow of nematic liquid crystals is considered. Existence and uniqueness of the global strong solution are established in critical Besov spaces provided that the initial datum is close to an equilibrium state $(1,{\bf 0}, \hat{\d})$ with a constant vector $\hat{\d}\in S^2$. The global existence result is proved via the local well-posedness and uniform estimates for proper linearized systems with convective terms. |
| title | Global solution to the three-dimensional compressible flow of liquid crystals |
| topic | Analysis of PDEs 35A05, 76A10, 76D03 |
| url | https://arxiv.org/abs/1206.2850 |