●  [1] Li Xu, Zhifei Zhang, On the free boundary problem to two viscous immiscible fluids, Journal of Differential Equations, 248 (2010) ,  no. 5, pp.1044-1111.

●  [2] Lingbing He, Li Xu, Global well-posedness for viscoelastic fluid system in bounded domains, SIAM Journal on Mathematical Analysis, 42(2010), no. 6, pp.2610-2625.

●  [3] Li Xu，Intermediate long waves systems for internal waves, Nonliearity 25(2012), pp. 597-640.

●  [4] Jean-Claude Saut, Li Xu, The Cauchy problem on large time for surface waves Boussinesq systems, Journal de Mathematiques  Pures et Appliquees,  No. 6，97(2012), pp.635-662.

●  [5] Jean-Claude Saut, Li Xu, Well-posedness on large time for a modified full dispersive system of surface waves, Journal of Mathematical Physics, 53, 115606 (2012).

●  [6] Li Xu, Ping Zhang, Zhifei Zhang, Global solvability to a free boundary 3-D incompressible viscoelastic fluid system with surface tension,  Archive for Rational Mechanics and Analysis, Volume 208, Issue 3, (2013), pp.753-803.

●  [7] Fanghua Lin, Li Xu and Ping Zhang, Global small solutions to 2-D incompressible MHD system, Journal of Differential Equations, 259(2015), no.10, pp. 5440-5485.

●  [8] Li Xu and Ping Zhang, Global small solutions to three-dimensional incompressible MHD system, SIAM Journal on Mathematical Analysis, 47 (2015), no. 1, pp. 26-65.

●  [9] Liyan Ma, Li Xu and Tieyong Zeng,  Low rank prior and total variation regularization for image deblurring,  Journal of Scientific Computing,  70(2017), no. 3. 1336–1357. 

●  [10] Jean-claude Saut, Chao Wang, Li Xu, The cauchy problem on large time for surface waves Boussinesq systems II, SIAM Journal on Mathematical Analysis, 49(2017), no. 4, pp. 2321-2386.

●  [11] Lingbing He, Li Xu, Pin Yu, On global dynamics of three dimensional magnetohydrodynamics: nonlinear stability of Alfven wave,  Annals of PDE, 4 (2018), no.1, Art 5, 105pp.

●  [12] Li Xu, On the ideal magnetohydrodynamics in three-dimensional thin domains: well-posedness and asymptotics,  Archive for Rational Mechanics and Analysis, 236(2020),No.1,1-70.

●   [13] Jean-Claude Saut, Li Xu, Long time existence for the Boussinseq-Full Dispersion systems, Journal of Differential Equations,  269(2020), no. 3, 2627-2663.

●  [14] Jean-Claude Saut, Li Xu, Long time existence for a strongly dispersive Boussinesq              system, SIAM Journal on Mathematical Analysis, 52(2020), no. 3, 2803-2848.

●  [15] Lingbing He, Li Xu, On the compressible Navier-Stokes equations in the whole space: from non-isentropic flow to isentropic flow, Discrete and Continuous Dynamical Systems, 2021.