Global strong solutions to the one-dimensional full compressible liquid crystal equations with temperature-dependent heat conductivity

Abstract In this paper, we consider the initial-boundary value problem of compressible non-isothermal liquid crystal flow in one-dimensional space. The existence of the global strong solution with large initial data is proved. In the proof of the main results, we assume that heat conductivity obeys the power law of the form κ ( θ ) = θ β with β > 0 .

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