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On the outer pressure problem of a viscous heat-conductive one-dimensional real gas. (English) Zbl 0910.76071

The one-dimensional heat conductive compressible Navier-Stokes equations are considered in the mass Lagrangian variables. Viscosity, pressure, and heat conductivity are assumed to be functions of density and temperature to correspond real gases. The global unique solvability is proved under the nonhomogeneous boundary conditions for tension.

MSC:

76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
35Q35 PDEs in connection with fluid mechanics
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References:

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