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References
A. A. Amosov, A. A. Zlotnik, A difference scheme for the equations of one-dimensional motion of a viscous barotropic gas, its properties and “global” error estimates, Dokl. Akad. Nauk SSSR, 288 (1986), 270–275 [Russian] = Soviet Math. Dokl., 33 (1986), 633–638.
H. Beirão da Veiga, An L p-theory for the n-dimensional, stationary, compressible Navier-Stokes equations, and the incompressible limit for compressible fluids. The equilibrium solutions, Commun. Math. Phys., 109 (1987), 229–248.
H. Beirão da Veiga, Long time behavior for one dimensional motion of a general barotropic viscous fluid, submitted to Arch. Rational Mech. Anal..
H. Beirão da Veiga, The stability of one dimensional stationary flows of compressible viscous fluids, Ann. Inst. H. Poincaré. Anal. Non Linéaire, to appear.
Ya. I. Kanel', On a model system of equations of one-dimensional gas motion, Differ. Uravn., 4 (1968), 721–734 [Russian] = Differ. Equations, 4 (1968), 374–380.
A. V. Kazhikhov, Correctness “in the large” of mixed boundary value problems for a model system of equations of a viscous gas, Din. Sploshnoj Sredy, 21 (1975), 18–47 [Russian].
A. V. Kazhikhov, Stabilization of solutions of an initial-boundary-value problem for the equations of motion of a barotropic viscous fluid, Differ. Uravn., 15 (1979), 662–667 [Russian] = Differ. Equations, 15 (1979), 463–467.
V. Lovicar, I. Straškraba, A. Valli, On bounded solutions of one-dimensional Navier-Stokes equations, to appear.
V. V. Shelukhin, Bounded, almost-periodic solutions of a viscous gas equation, Din. Sploshnoj Sredy, 44 (1980), 147–163 [Russian].
I. Straškraba, A. Valli, Asymptotic behaviour of the density for one-dimensional Navier-Stokes equations, Manuscripta Math., 62 (1988), 401–416.
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Valli, A. (1990). On the one-dimensional Navier-Stokes equations for compressible fluids. In: Heywood, J.G., Masuda, K., Rautmann, R., Solonnikov, V.A. (eds) The Navier-Stokes Equations Theory and Numerical Methods. Lecture Notes in Mathematics, vol 1431. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086068
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DOI: https://doi.org/10.1007/BFb0086068
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