Abstract
In this paper, we prove the unique existence of global strong solutions and decay estimates for the simplified Ericksen–Leslie system describing compressible nematic liquid crystal flows in RN, 3≤N≤7. Firstly, we rewrite the system in Lagrange coordinates, and secondly, we prove the global well-posedness for the transformed system, which is the main task in this paper. The proof is based on the maximal Lp-Lq regularity and the Lp-Lq decay estimates to the linearized problem.
Funder
JSPS Grant-in-Aid for Early-Career Scientists
Grant-in-Aid for Scientific Research
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
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