On a compressible non-isothermal model for nematic liquid crystals

Abstract

We prove the existence of a weak solution to a non-isothermal compressible model for nematic liquid crystals. An initial-boundary value problem is studied in a bounded domain with large data. The existence of a global weak solution is established through a three-level approximation, energy estimates, and weak convergence for the adiabatic exponent γ>3/2.

arXiv admin note: substantial text overlap with arXiv:1108.4939 by other authors; text overlap with arXiv:0904.3587 by other authors