X. Liu, Y. Yuan: Immediate blowup of entropy-bounded classical solutions to the vacuum free boundary problem of nonisentropic compressible Navier–Stokes equations. SIAM J. Math. Anal. 51(2023), no.3, 1524-1544.
Y. Yuan: Variational rotating solutions to non-isentropic Euler-Poisson equations with prescribed total mass. Sci. China. Math. 65 (2022), 2061-2078.
P. Secchi, Y. Yuan: Weakly nonlinear surface waves on the plasma-vacuum interface. J. Math. Pures Appl. (9) 163 (2022), 132–203.
Q. Yuan, Y. Yuan: Periodic perturbations of a composite wave of two viscous shocks for 1-D full compressible Navier-Stokes equations. SIAM J. Math. Anal. 54 (2022), no. 3, 2876–2905.
Z. Xin, Q. Yuan, Y. Yuan: Asymptotic stability of shock waves and rarefaction waves under periodic perturbations for 1-D convex scalar conservation laws. Indiana Univ. Math. J. 70 (2021), no. 6, 2295–2349.
Q. Yuan, Y. Yuan: On Riemann solutions under different initial periodic perturbations at two infinities for 1-d scalar convex conservation laws. J. Differential Equations 268 (2020), no. 9, 5140–5155.
X. Liu, Y. Yuan: The self-similar solutions to full compressible Navier-Stokes equations without heat conductivity. Math. Models Methods Appl. Sci. 29 (2019), no. 12, 2271–2320.
Z. Xin, Q. Yuan, Y. Yuan: Asymptotic stability of shock profiles and rarefaction waves under periodic perturbations for 1-d convex scalar viscous conservation laws. SIAM J. Math. Anal. 51 (2019), no. 4, 2971–2994.
X. Liu, Y. Yuan: Local existence and uniqueness of strong solutions to the free boundary problem of the full compressible Navier-Stokes Equations in three dimensions. SIAM J. Math. Anal. 51(2019), no.2, 748–789.