Global weak solution and large-time behavior for the compressible flow of liquid crystals

Details Global weak solution and large-time behavior for the compressible flow of liquid crystals Global weak solution and large-time behavior for the compressible flow of liquid crystals

2011-08-24

arxiv.org/abs/1108.4939v1

Mathematics

Analysis of PDEs

Scientific paper

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 $\gamma>\frac32$.

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