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Global weak solution and large-time behavior for the compressible flow of liquid crystals (1108.4939v1)
Published 24 Aug 2011 in math.AP
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 $\gamma>\frac32$.
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