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Global Weak Solution and Large-Time Behavior for the Compressible Flow of Liquid Crystals

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Abstract

The three-dimensional equations for the compressible flow of liquid crystals are considered. An initial-boundary value problem is studied in a bounded domain with large data. The existence and large-time behavior of a global weak solution are established through a three-level approximation, energy estimates, and weak convergence for the adiabatic exponent \({\gamma > \frac{3}{2}}\) .

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Correspondence to Dehua Wang.

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Communicated by F. Lin

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Wang, D., Yu, C. Global Weak Solution and Large-Time Behavior for the Compressible Flow of Liquid Crystals. Arch Rational Mech Anal 204, 881–915 (2012). https://doi.org/10.1007/s00205-011-0488-x

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