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1. Q. Chen, C. Miao and Z. Zhang, Global well-posedness for the compressible Navier-Stokes equations with the highly oscillating initial velocity, Comm. Pure Appl. Math., Vol. LXIII (2010), 1173¨C1224.

2. Q. Chen, C. Miao and Z. Zhang, A new Bernstein's Inequality and the 2D Dissipative Quasi-Geostrophic Equation, Comm. Math. Phys, 271(2007), 821-838.

3. Q. Chen, C. Miao and Z. Zhang, Well-posedness in critical spaces for the compressible Navier-Stokes equations with density dependent viscosities, Revista Matematica Iberoam., 26(2010), 915-946.

4. C. Miao, G. Xu and L. Zhao, The dynamics of the 3D radial NLS with the combined terms, Comm. Math. Phys., 318:3(2013), 767-808.

9. Q. Chen, C. Miao and Z. Zhang, On the well-posedness of the ideal MHD equations in the Triebel- Lizorkin spaces, Arch. Rational Mech. Anal. 195(2010), 561-578.

10. R. Killip, C. Miao, M. Visan, J. Zhang and J. Zheng, Sobolev space adapted to the Schrodinger operator with inverse-square potential , Math. Z. (2017), doi: 10.1007/s00209-017-1934-8.

11. H. Jia, B. Liu, W. Schlag and G. Xu Generic and non-generic behavior of solutions to defocusing energy critical wave equation with potential in the radial case, IMRN, 2016, 1-59.

12. C. Miao, G. Xu and L. Zhao, Global well-posedness and scattering for the energy-critical, defocusing Hartree eq- uation for radial data, J. Funct. Anal., 253(2007), 605-627.

14. C. Miao, J. Murphy and J. Zheng, The defocusing energy-supercritical NLS in four space dimensions, J. Funct. Anal., 267(2014), 1662-1724.

15. C. Miao and X. Zheng, Global well-posedness for axisymmetric Boussinesq system with horizontal viscosity, J. Math. Pures Appl. 101 (2014) 842¨C872.

16. Q. Chen, C. Miao and Z. Zhang, On the ill-posedness of the compressible Navier-Stokes equations in the critical Besov spaces, Revista Matemtica Iberoamericana, 31(2015)1375-1402.

17. C. Miao, G. Xu and L. Zhao, Global well-posedness and scattering for the defocusing H1/2-subcritical Hartree eq- uation in Rd, Ann. Inst. Henri Poincare-Nonlinear Analysis, 26(2009)1831¨C1852.

21. C. Miao, J. Zhang and J. Zheng, The defocusing energy-critical wave equation with a cubic convolution, Indiana University Mathematics Journal, 63(2014), 993-1015.

24. W. Chen, C. Miao and X. Yao, Dispersive estimates with geometry of finite type, Comm. PDEs, 37(2012), 729 - 776.

26. M. Cannone, Q. Chen and C. Miao, A losing estimate for the ideal MHD equations with application to Blow-up criterion, SIAM J. Math. Anal., 38 (2007), 1847-859.

27. G. Karch, C. Miao and X. Xu, About convergence of solutions of fractal Burgers equation toward rarefaction waves. SIAM. J. Math. Anal., 39(2008), 1536 - 1549.

28. Q. Jiu, C. Miao, J. Wu and Z. Zhang, The 2D incompressible Boussinesq equations with general critical dissipation, SIAM J.Math.Anal£¬46(2014) 3426 ¨C3454.

29. Y. Li, Y. Wu and G. Xu, Low regularity global solutions for the focusing, mass-critical NLS equation in R. SIAM J. Math. Anal., 43:1 (2011), 322-340.

30. C. Miao, X. Tand and G. Xu, Stability of the traveling waves for the derivative Schrodinger equation in the energy space, Calculus of Variations and PDEs, 56(2)(2017), Paper No. 45, 48pp.

31. C. Miao, T. Zhao and J. Zheng, On the 4D Nonlinear Schr\"odinger equation with combined terms under the energy threshold, Calculus of Variations and PDEs (2017) 56:179.

32. C. Miao, J. Zhang and J. Zheng, Strichartz estimates for wave equation with inverse square potential, Contemp. Math., Vol. 15, No. 6 (2013) 1350026 (29 pages).

38. C. Miao, Y. Wu and G. Xu, Dynamics for the focusing, energy-critical nonlinear Hartree equation, Forum Mathematicum. 27, No. 2(2015), 373¨C447.

40. C. Miao, J. Zhang and J. Zheng, Sacttering theory for the radial H1/2-critical wave equation with a cubic convolution, J. Diff. Equat. 259 (2015), 7199¨C7237.

41. C. Miao and J. Zheng, Energy scattering for a Klein-Gordon Equation with a cubic convolution, J. Diff. Equat.,257(2014), 2178-2224.

42. C. Miao and L. Xue, Global well-posedness for a modified critical dissipative quasi-geostrophic equation£¬J. Diff. Equat., 252 (2012), 792 - 818.

44. C. Miao, J. Zhang and J. Zheng, A note on the cone restriction conjecture£¬Proc. AMS, 140(2012), 2091 - 2102.

45. C. Miao and J. Zhang, On global solution to the Klein¨CGordon¨CHartree equation below energy space, J. Diff. Equat., 250 (2011), 3418 - 3447.

47. C. Miao and L. Xue, On the regularity of a class of generalized quasi- geostrophic equations, J. Diff. Equat., 251(2011), 2789-2821.

48. C. Miao, G. Xu and L. Zhao, Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrodinger equations of fourth order in dimensions $d\geq 9$, J. Diff. Equat., 251 (2011), 3381-3402.

49. D. Li, C. Miao and X. Zhang, The focusing energy-critical Hartree equation, J. Diff. Equat., 246 (2009), 1139-1163.

50. C. Miao, G. Xu and L. Zhao, Global wellposedness and scattering for the focusing energy-critical nonlinear Schrodinger equations of fourth order in the radial case, J. Diff. Equat., 246 (2009), 3715¨C3749.

51. C. Miao and G. Wu, Global well-posedness of the critical Burgers equation in critical Besov spaces, J. Diff. Equat., 247(2009), 1673 --1693.

52. Y. Li, Y. Wu and G. Xu, Global well-posedness for periodic mass-critical nonlinear Schrodinger equation, J. Diff. Equat., 250:6, 15(2011), 2715-2736.

53. X. Tang and G. Xu, Stability of the sum of two solitary waves for (gDNLS) in the energy space, Accepted by J. Diff. Equat.

55. W. Chen, C. Miao and J. Li, On the low regularity of the fifth order Kadomtsev¨CPetviashvili I equation, J. Diff. Equat., 245(2008), 3433 - 3469.

56. Q. Chen and C. Miao, Existence theorem and blow-up criterion of smooth solutions to the two-fluid MHD equations in R3, J. Diff. Equat., 239 (2007), 251 - 271.

57. C. Miao and G. Xu, Global solutions of the Klein-Gordon-Schrodinger system with rough data in R2+1, J. Diff. Equat., 227(2006), 365¨C405.

58. W. Chen, Y. Han and C. Miao, Factorization theorem for product Hardy spaces. Studia Mathematica, 177(2006), 255-249.

59. C. Miao and J. Zheng, Scattering theory for the defocusing fourth-order Schrodinger Equations, Nonlinearity 29 (2016), 692¨C736.

61. C. Miao, J. Yang and J. Zheng, On local smoothing problems and Stein's maximal spherical means, Proc. of AMS, 145 (2017), 4269¨C4282).

62. X. Cheng, C. Miao and L. Zhao, Global well-posedness and scattering for nonlinear Schrodinger equations with combined nonlinearities, J. Diff. Equat. 261(2016), 2881-2934 .

64. Q. Chen, C. Miao and Z. Zhang, The two-dimensional Euler equations in Yudovich type space and bmo-type space, To appear in Revista Matemtica Iberoamericana, (2017).

67. D. Li, G. Xu and X. Zhang, On the dispersive estimate for the Dirichlet Schrodinger propagator and applications to energy critical NLS, Canad. J. Math., 66(2014), 1110-1142.

69. Q.Chen, Z.Zhang, Regularity Criterion via the Pressure on Weak Solutions to the 3D Navier-Stokes Equations, Proc. of Amer. Math. Soc. , 135(2007):1829-1837.