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arxiv: 1108.4939 · v1 · pith:MUJEUAKNnew · submitted 2011-08-24 · 🧮 math.AP

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

classification 🧮 math.AP
keywords weakbehaviorcompressiblecrystalsflowgloballarge-timeliquid
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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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