References
- Amosov AA, Zlotnik AA. Global generalized solutions of the equations of the one-dimensional motion of a viscous heat-conducting gas. Soviet Mathematics Doklady. 1989;38(1):1–5
- Jiang S. On the asymptotic behavior of the motion of a viscous, heat-conducting, one-dimensional real gas. Mathematische Zeitschrift. 1994;216:317–336.
- Kazhikhov AV, Shelukhin VV. Unique global solution with respect to time of initial boundary value problems for one-dimensional equations of a viscous gas. Journal of Applied Mathematics and Mechanics. 1977;41:273–282.
- Nagasawa T. On the one-dimensional motion of the polytropic ideal gas non-fixed on the boundary. Journal of Differential Equations. 1986;65:49–67.
- Qin Y. Global existence and asymptotic behaviour for a viscous, heat-conducting one-dimensional real gas with fixed and thermally insulated end points. Nonlinear Analysis. 2001;44:413–441.
- Qin Y. Global existence and asymptotic behaviour for a viscous, heat-conductive, one-dimensional real gas with fixed and constant temperature boundary conditions. Advances in Differential Equations. 2002;7:129–154.
- Qin Y, Wu Y, Liu F. On the Cauchy problem for a one-dimensional compressible viscous polytropic ideal gas. Portugaliae Mathematica. 2007;64:87–126.
- Zheng S, Qin Y. Maximal attractor for the system of one-dimensional polytropic viscous ideal gas. Quarterly of Applied Mathematics. 2001;59:579–599.
- Zlotnik AA, Amosov AA. On stability of generalized solutions of the equations of one-dimensional motion of a viscous heat conducting gas. Siberian Mathematical Journal. 1997;38(4):663–684
- Zlotnik AA, Bao N. Properties and asymptotic behavior of solutions of some problems of one-dimensional of a viscous barotropic gas. Mathematical Notes. 1994;55(5):471–482
- Antontsev S, Kazhikhov A, Monakhov V. Boundary value problems in mechanics of nonhomogeneous fluids. New York: Amsterdam; 1990.
- Hoff D. Global solutions of the Navier–Stokes equations for multidimensional compressible flow with discontinuous initial data. Journal of Differential Equations. 1995;120:215–254.
- Hoff D. Discontinuous solutions of the Navier-Stokes equations for multidimensional heat-conduting flows. Archive for Rational Mechanics and Analysis. 1997;139:303–354.
- Jiang S. Global spherically symmetric solutions to the equations of a viscous polytropic ideal gas in an exterior domain. Communications in Mathematical Physics. 1996;178:339–374.
- Novotny A, Straskraba I. Stabilization of weak solutions to compressible Navier–Stokes equations. Journal of Mathematics of Kyoto University. 2000;40:217–245.
- Novotny A, Straskraba I. Convergence to equilibra for compressible Navier–Stokes equations with large data. Annali di Matematica Pura ed Applicata. 2001;179:263–287.
- Mucha PB. Compressible Navier–Stokes system in 1-D. Mathematical Methods in the Applied Sciences. 2001;24:607–622.
- Yanagi S. Existence of periodic solutions for a one-dimensional isentropic model system of compressible viscous gas. Nonlinear Analysis. 2001;46:279–298.
- Qin Y, Zhao Y. Global existence and asymptotic behavior of compressible Navier–Stokes equations for a 1-D isothermal viscous gas. Mathematical Models and Methods in Applied Sciences. 2008;18:1383–1408.
- Zhang T, Fang D. Global behavior of compressible Navier–Stokes equations with denerate viscosity coefficient. Archive for Rational Mechanics and Analysis. 2006;182:223–253.
- Qin Y, Yu X. Global existence and asymptotic behavior for the compressible Navier-Stokes equations with a non-autonomous external force and a heat source. Mathematical Methods in the Applied Sciences. 2009;32:1011–1040.
- Tani A. On the first initial-boundary value problem of compressible viscous fluid motion. Publications of the Research Institute for Mathematical Sciences. 1977;13:193–253.
- Protter MH, Weinberger HF. Maximum principles in differential equations. Englewood Cliffs (NJ): Prentice-Hall; 1967.
- Shen W, Zheng S. On th ecoupled Cahn–Hilliard equations. Communications in Partial Differential Equations. 1993;18:701–727.