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Summary
In this paper, we consider the initial boundary value problem for the one-dimensional micropolar fluids for viscous compressible and heat-conducting fluids in a bounded domain with the Neumann/Robin boundary conditions on temperature. There are few results until now about global existence of regular solutions to the equations of hydrodynamics with the Robin boundary conditions on temperature. By the analysis of the effect of boundary dissipation, we derive the global existence of classical solution to the corresponding initial boundary value problem with large initial data and vacuum.
