Global solution to the three-dimensional compressible flow of liquid crystals
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 2678-2699 |
| Journal / Publication | SIAM Journal on Mathematical Analysis |
| Volume | 45 |
| Issue number | 5 |
| Publication status | Published - 2013 |
| Externally published | Yes |
Link(s)
Abstract
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, 0, d) with a constant vector d S2. The global existence result is proved via the local well-posedness and uniform estimates for proper linearized systems with convective terms. © 2013 Society for Industrial and Applied Mathematics.
Research Area(s)
- Compressible liquid crystal flow, Critical space, Global well-posedness
Citation Format(s)
Global solution to the three-dimensional compressible flow of liquid crystals. / Hu, Xianpeng; Wu, Hao.
In: SIAM Journal on Mathematical Analysis, Vol. 45, No. 5, 2013, p. 2678-2699.
In: SIAM Journal on Mathematical Analysis, Vol. 45, No. 5, 2013, p. 2678-2699.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
