Luo, Tao On the outer pressure problem of a viscous heat-conductive one-dimensional real gas. (English) Zbl 0910.76071 Acta Math. Appl. Sin., Engl. Ser. 13, No. 3, 251-264 (1997). 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. Reviewer: Vladimir Shelukhin (Rio de Janeiro) Cited in 7 Documents MSC: 76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics 35Q35 PDEs in connection with fluid mechanics Keywords:compressible Navier-Stokes equations; mass Lagrangian variables; global unique solvability; nonhomogeneous boundary conditions for tension PDFBibTeX XMLCite \textit{T. Luo}, Acta Math. Appl. Sin., Engl. Ser. 13, No. 3, 251--264 (1997; Zbl 0910.76071) Full Text: DOI References: [1] E. Becker. Gasdynamik. Teubner Verlag, Stuttgart, 1966. [2] Nagasawa. On the Outer Pressure Problem of the One-dimensional Polytropic Ideal Gas.Japan Journal of applied mathematics, 1988, 5(1): 53–85. · Zbl 0665.76076 · doi:10.1007/BF03167901 [3] B. Kawohl. Global Existence of Large Solutions to Initial Boundary Value Problems for a Viscous, Heat-conducting, One-dimensional Real Gas.J. Diff. Equations, 1985, 58: 76–103. · Zbl 0579.35052 · doi:10.1016/0022-0396(85)90023-3 [4] C.M. Dafermos and L. Hsiao. Global Smooth Thermomechanical Processes in One-dimensional Nonlinear Thermoviscoelasticity.Nonlinear Anal. T.M.A., 1982, 6: 435–454. · Zbl 0498.35015 · doi:10.1016/0362-546X(82)90058-X [5] O.A. Ladyzenskays, V.A. Solonnikov and N.N. Ural’ceva. Linear and Quasilinear Equations of Parabolic Type. Transl. Math. Monos., Vol.23, Amer. Math. Soc. Providence R.I., 1968; Reprinted 1988. [6] A. Friedman. Partial Differential Equations of Parabolic Type. Prentice-Hall, Englewood Diffs, N.J., 1964. · Zbl 0144.34903 [7] R.A. Adams. Sobolev Spaces. Academic Press, New York, 1975. · Zbl 0314.46030 [8] A. Tani. On the Free Boundary Value Problem for Compressible Viscous Fluid Motion.J. Math. Kyoto Univ., 1981, 21: 839–859. · Zbl 0499.76061 [9] A. Tani. On the First Initial-boundary Problem of Compressible Viscous Fluid Motion.Publ. RIMS. Kyoto Univ., 1977, 13: 193–253. · Zbl 0366.35070 · doi:10.2977/prims/1195190106 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.