Abstract
In this paper, we study the Cauchy problem of the simplified Ericksen–Leslie system modeling compressible nematic liquid crystal flows in R3. We first prove the local existence of the strong solutions provided that the data satisfies a natural compatibility condition. Then by deriving the smoothing effect of the solution in t>0, we conclude that it is indeed classical on some time interval [0,T0]. Here we do not need the condition that initial density is bounded below away from zero.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
