References
[1] Yuan, H. R. (2019). Time-Periodic Isentropic Supersonic Euler Flows in One-Dimensional Ducts Driving by Periodic Boundary Conditions. Acta. Math. Sci. Ser. B (Engl. Ed.), 39, 403-412.
[2] Cai, H. and Tan, Z. (2017). Time Periodic Solutions to the Compressible Navier-Stokes-Poisson System with Damping. Commun. Math. Sci., 15, 789-812.
[3] Li, T. T. and Jin, Y. (2001). Semi-Global C^1 Solution to the Mixed Initial-Boundary Value Problem for Quasilinear Hyperbolic Systems. Chin. Ann. Math., 22, 325-336.
[4] Luo, T. (1997). Bounded Solutions and Periodic Solutions of Viscous Polytropic Gas Equations. Chin. Ann. Math. Ser. B, 18, 99-112.
[5] Ma, H. F., Ukai, S., and Yang, T. (2010). Time Periodic Solutions of Compressible Navier-Stokes Equations. J. Differ. Equ., 248, 2275-2293.
[6] Matsumura, A. and Nishida, T. (1989). Periodic Solutions of a Viscous Gas Equation. North-Holland Math. Stud., 160, 49-82.
[7] Greenberg, J. M. and Rascle, M. (1991). Time-Periodic Solutions to Systems of Conservation Laws. Arch. Rational Mech. Anal., 115, 395-407.
[8] Naoki, T. (2020). Existence of a Time Periodic Solution for the Compressible Euler Equations with a Time Periodic Outer Force. Nonlinear Anal. Real World Appl., 53, 103080.
[9] Ohnawa, M. and Suzuki, M. (2020). Time-Periodic Solutions of Symmetric Hyperbolic Systems. J. Hyperbolic Differ. Equ., 17, 707-726.
[10] Takeno, S. (2001). Time-Periodic Solutions for a Scalar Conservation Law. Nonlinear Anal., 45, 1039-1060.
[11] Temple, B. and Young, R. (2015). A Nash-Moser Framework for Finding Periodic Solutions of the Compressible Euler Equations. J. Sci. Comput., 64, 761-772.
[12] Qu, P. (2020). Time-Periodic Solutions to Quasilinear Hyperbolic Systems with Time-Periodic Boundary Conditions. J. Math. Pures Appl., 139, 356-382.
[13] Wei, F. L., Liu, J. L., and Yuan, H. R. (2021). Global Stability to Steady Supersonic Solutions of the 1-D Compressible Euler Equations with Frictions. J. Math. Anal. Appl., 495, 124761.
[14] Li, T. T. and Yu, W. C. (1985). Boundary Value Problem for Quasilinear Hyperbolic Systems. Duke University Math. Series, vol. 5.
[15] Li, T. T. (1994). Global Classical Solutions for Quasilinear Hyperbolic Systems. Research in App. Math., vol. 34, Wiley/Masson, New York/Paris.