Communications in Mathematical Sciences
Volume 19 (2021)
Existence of global weak solutions to the compressible Ericksen–Leslie system in dimension one
Pages: 1269 – 1300
We consider the compressible Ericksen–Leslie system of liquid crystal flows in one dimension. A global weak solution is constructed with initial density $\rho_0 \geq 0$ and $\rho_0 \in L^\gamma$ for $\gamma \gt 1$.
compressible Ericksen–Leslie system, weak solution, nematic liquid crystals
2010 Mathematics Subject Classification
The first-named author is supported in part by the National Natural Science Foundation of China grants 11601342, 11871345, and 61872429.
The third-named author is partially supported by NSF DMS 1764417.
Received 16 June 2020
Accepted 3 January 2021
Published 11 November 2021