● [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.
