Ping Zhang (张平)

Email: zp@amss.ac.cn

Office: South Building（南楼）305

Research Interest：Partial Differential Equations

Education:

1987/9-1991/6, Department of Mathematics, Nanjing University (Bachelor);

1991/9-1994/6, Department of Mathematics, Nanjing University (Master);

1994/9-1997/6, Department of Mathematics, Nanjing University (PhD); 

1997/7-1999/6, Postdoctoral Fellow at Institute of Mathematics, The Chinese Academy of Sciences.

Professional Experience:

2022/1-, Vice president of the Academy of Mathematics and System Sciences, CAS; 

2017/10-2022/2, Director of the Institute of Mathematics, Academy of Mathematics and System Sciences, CAS; 

2003/4-, Full Professor, Academy of Mathematics and System Sciences, CAS;

2001/3-2003/3, Associate Professor, Academy of Mathematics and System Sciences, CAS; 

1999/7-2001/2, Assistant Professor, Academy of Mathematics and System Sciences, CAS;

Overseas Appointments:

1998/9-1998/12, Visiting Researcher, Courant Institute of Mathematical Sciences,New York University; 

1999/1-1999/2, Visiting Researcher, Department of Mathematics, Indiana University;

1999/4-1999/6, Visiting Researcher, Institute of Mathematics, Chinese University of Hong Kong; 

2000/1-2000/3, Visiting Researcher, Institute of Mathematics, Chinese University of Hong Kong; 

2000/10-2000/12, Senior Researcher, Institute of Mathematics, Vienna University;

2001/8-2002/5, Visiting Associate Professor, Department of Mathematics,  Penn. State University， also paid visit to: Courant Institute，Brown University, The University of Michan, The University of Pittsburg during this period; 

2003/2-2003/2,    The University of Texas at Austin;

2003/10-2003/11,  Courant Institute of New York University; 

2004/4-2004/4, Courant Institute of New York University;

2004/10-2005/2, Centre de Mathematiques, Ecole Polytechnique; 

2005/5-2005/4, Stanford University; 

2005/10-2007/8, Courant Institute of New York University; 

2008/9/7-2008/10/6, Institute of Mathematics, Czech Academy of Sciences, Czech;

2009/1/29-2009/3/25, Department of Mathematics,  Penn. State University;

2009/6-2009/6, Laboratoire J.-L. Lions,  Universit\'e Pierre et Marie Curie, France;

2010/9-2010/12, Laboratoire J.-L. Lions,  Universit\'e Pierre et Marie Curie, France;

2012/4-2012/4, Universit\'e de Paris Est et Creteil, France;

2012/6-2012/6, Chinese University of HongKong;

2012/10-2012/10, Universit\'e de Paris Est et Creteil, France;

2013/4-2013/4, Universit\'e de Paris-Sud, France;

2015/4-2015/5, Laboratoire J.-L. Lions,  Universit\'e Pierre et Marie Curie, France;

2016/8/11-2016/9/8, Penn State University, USA;

2017/1/20-2017/2/14 Courant Institute of New York University, USA;

2018/2/1-2018/2/28, Penn State University, USA;

2018/9-2018/11, Laboratoire J.-L. Lions, Sorbonne Uiversity, France;

2019/01/26-2019/02/15, Rutgers University, USA

Editorial activities

Science China. Mathematics

Acta Mathematica Sinica, English Series

Acta Applicandae Mathematicae

Czechoslovak Mathematical Journal

Journal of Partial Differential Equations

Analysis in Theory and Applications

Communications in Mathematical Research

Advanced Nonlinear Studies

Preprints

1.      Ning Liu and Ping Zhang, Global stability of monotone shear flow for 2-D Prandtl system  in Sobolev space, submitted  2022;

2.      Jiajiang Liao, F. Sueur and Ping Zhang, Global controllability of the Navier-Stokes equations  in the presence of curved boundary with no-slip conditions, submitted 2022;

3.      Ruilin Hu and Ping Zhang, On the radius of analyticity of solutions to 3D Navier-Stokes  system with initial data in $L^p,$  accepted by  Chin. Ann. Math. Ser. B, 2022;

4.      M. Paicu and Ping Zhang, Global hydrostatic approximation of  hyperbolic Navier-Stokes system with small Gevrey class 2 data,  accepted by Sciences in China, 2022;

5.      Jean-Michel  Coron, Shengquan Xiang and Ping Zhang,Global approximate controllability  of 1-D semiclassical  Schr\"{o}dinger equations with two scalar  controls, submitted 2021;

6.      Li Xu and Ping Zhang, Enhanced dissipation for the third component of 3D anisotropic Navier-Stokes equations, submitted  2022;

7.      Yong Lu and Ping Zhang, Global solutions of 2D isentropic compressible Navier-Stokes equations with one slow variable, submitted 2021;

8.      Chao Wang, Yuxi Wang and Ping Zhang, On the global small solution of 2-D Prandtl system with initial data in the optimal Gevrey class, submitted 2021;

Published papers:

1.        Zhang, Ping; Qiu, Qingjiu, On the existence of global weak solutions to two-component Vlasov-Poisson and Vlasov-Fokker-Planck systems in one space dimension with L 1 -initial data, Nonlinear Anal., 29(9) (1997),  1023–1036;

2.        Zhang, Ping; Qiu, Qing Jiu, Propagation of higher-order regularities of the boundaries of 3-D vortex patches, (Chinese) Chinese Ann. Math. Ser. A, 18 (3)(1997),  381–390;

3.        Zhang, Ping; Qiu, Qing Jiu, The three-dimensional revised vortex patch problem for the system of incompressible Euler equations, (Chinese) Acta Math. Sinica (Chin. Ser.), 40(3) (1997),  437–448;

4.        Zhang, Ping; Wu, Guangrong; Qiu, Qingjiu, Propagation of oscillations to 2D incompressible Euler equations, Sci. China Ser. A,  41(5) (1998),  449–460;

5.        Zhang, Ping; Qiu, Qingjiu, On the existence of almost global weak solution to multidimensional Vlasov-Poisson equation, Chinese Ann. Math. Ser. B ,19(3) (1998),  381–390;

6.        Zhang, Ping; Qiu, Qingjiu, Remarks on the existence of weak solutions to 2-D incompressible Navier-Stokes equations, Chinese Ann. Math. Ser. B, 19(4) (1998),  529–536;

7.        Zhang Ping; Zheng, Yuxi, On oscillations of an asymptotic equation of a nonlinear variational wave equation,  Asymptot. Anal., 18(3-4) (1998), 307–327;

8.        Wu, Guangrong; Zhang, Ping, The zero diffusion limit of 2-D Navier-Stokes equations with L 1 initial vorticity, Discrete Contin. Dynam. Systems, 5 (3)(1999),  631–638

9.        Zhang, Ping; Zheng, Yuxi, On the existence and uniqueness of solutions to an asymptotic equation of a variational wave equation,  Acta Math. Sin. (Engl. Ser.),  15(1) (1999),  115–130;

10.    Zhang Ping; Zheng, Yuxi,  Existence and uniqueness of solutions of an asymptotic equation arising from a variational wave equation with general data., Arch. Ration. Mech. Anal., 155(1) (2000),  49–83;

11.     Xin, Zhouping; Zhang, Ping, On the weak solutions to a shallow water equation, Comm. Pure Appl. Math., 53(11)  (2000),  1411–1433;

12.     Lin, Fanghua; Zhang, Ping, On the hydrodynamic limit of Ginzburg-Landau vortices,  Discrete Contin. Dynam. Systems,  6(1) (2000),   121–142;

13.    Chen, Gui-Qiang; Zhang, Ping, On the zero-Rossby limit for the primitive equations of the atmosphere,  Nonlinearity, 14(5) (2001),  1279–1295;

14.    Zhang, Ping; Zheng, Yuxi, Rarefactive solutions to a nonlinear variational wave equation of liquid crystals, Comm. Partial Differential Equations,  26(3-4) (2001),  381–419;

15.    Zhang, Ping; Zheng, Yuxi, Singular and rarefactive solutions to a nonlinear variational wave equation, Chinese Ann. Math. Ser. B,  22(2) (2001),  159–170;

16.     Jiang, Song; Zhang, Ping, On spherically symmetric solutions of the compressible isentropic Navier-Stokes equations, Comm. Math. Phys.  215(3)  (2001),  559–581;

17.     Zhang, Ping, Wigner measure and the semiclassical limit of  Schrödinger -Poisson equations, SIAM J. Math. Anal., 34(3) (2002),  700–718;

18.    Xin, Zhouping; Zhang, Ping, On the uniqueness and large time behavior of the weak solutions to a shallow water equation, Comm. Partial Differential Equations,  27(9-10) (2002),   1815–1844; 

19.     Hsiao, Ling; Jiang, Song; Zhang, Ping, Global existence and exponential stability of smooth solutions to a full hydrodynamic model to semiconductors, Monatsh. Math., 136(4) (2002),   269–285.

20.    Jiang, Song; Zhang, Ping, Remarks on weak solutions to the Navier-Stokes equations for 2-D compressible isothermal fluids with spherically symmetric initial data, Indiana Univ. Math. J.,  51(2) (2002),   345–355;

21.    Zhang, Ping, Semiclassical limit of nonlinear Schrödinger equation. II, J. Partial Differential Equations, 15(2) (2002),  83–96;

22.     Zhang, Ping; Zheng, Yuxi, On the second-order asymptotic equation of a variational wave equation, Proc. Roy. Soc. Edinburgh Sect. A,  132(2) (2002),   483–509.

23.    Lin, Fanghua; Zhang, Ping, On the hydrodynamic limit of Ginzburg-Landau wave vortices, Comm. Pure Appl. Math., 55(7) (2002),  831–856;

24.    Zhang, Ping; Zheng, Yuxi; Mauser, Norbert J., The limit from the Schrödinger-Poisson to the Vlasov-Poisson equations with general data in one dimension, Comm. Pure Appl. Math.,  55(5) (2002),  582–632;

25.    Zhang, Ping; Zheng, Yuxi, Weak solutions to a nonlinear variational wave equation, Arch. Ration. Mech. Anal., 166(4)  (2003),   303–319;

26.    Jiang, Song; Zhang, Ping, Axisymmetric solutions of the 3D Navier-Stokes equations for compressible isentropic fluids,  J. Math. Pures Appl. (9),  82(8) (2003),   949–973;

27.    Du, Qiang; Zhang, Ping, Existence of weak solutions to some vortex density models, SIAM J. Math. Anal.,  34(6) (2003),   1279–1299;

28.     Jiang, Song; Zhang, Ping, Global weak solutions to the Navier-Stokes equations for a 1D viscous polytropic ideal gas, Quart. Appl. Math., 61(3) (2003),  435–449;

29.    *Lin, Fang-Hua; Liu, Chun; Zhang, Ping, On hydrodynamics of viscoelastic fluids, Comm. Pure Appl. Math., 58(11) (2005),  1437–1471;

30.    Masmoudi, Nader; Zhang, Ping, Global solutions to vortex density equations arising from sup-conductivity,  Ann. Inst. H. Poincaré Anal. Non Linéaire, 22(4) (2005),   441–458;

31.    Zhang, Ping; Zheng, Yuxi, Weak solutions to a nonlinear variational wave equation with general data,  Ann. Inst. H. Poincaré Anal. Non Linéaire,  22(2) (2005),   207–226;

32.    Jiang, Song; Xin, Zhouping; Zhang, Ping, Global weak solutions to 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity,  Methods Appl. Anal., 12(3) (2005),  239–251;

33.    Chen, Yemin; Zhang, Ping, The global existence of small solutions to the incompressible viscoelastic fluid system in 2 and 3 space dimensions, Comm. Partial Differential Equations, 31(10-12)  (2006),  1793–1810;

34.    Lin, Tai-Chia; Zhang, Ping, Incompressible and compressible limits of coupled systems of nonlinear Schrödinger equations, Comm. Math. Phys., 266(2) (2006),  547–569;

35.     Lin, Fanghua; Zhang, Ping, Semiclassical limit of the Gross-Pitaevskii equation in an exterior domain, Arch. Ration. Mech. Anal., 179(1) (2006),  79–107;

36.    Wang, Xue Ping; Zhang, Ping, High-frequency limit of the Helmholtz equation with variable refraction index, J. Funct. Anal., 230(1) (2006),  116–168;

37.    Zhang, Ping; Zhang, Zhi-fei, On the local wellposedness of 3-D water wave problem with vorticity,  Sci. China Ser. A, 50(8)  (2007),   1065–1077;

38.     Chemin, Jean-Yves; Zhang, Ping, On the global wellposedness to the 3-D incompressible anisotropic Navier-Stokes equations, Comm. Math. Phys.,  272(2) (2007),   529–566;

39.    Lin, Fang-Hua; Liu, Chun; Zhang, Ping, On a micro-macro model for polymeric fluids near equilibrium, Comm. Pure Appl. Math., 60(6) (2007),  838–866;

40.    Bressan, Alberto; Zhang, Ping; Zheng, Yuxi, Asymptotic variational wave equations., Arch. Ration. Mech. Anal., 183(1) (2007),  163–185;

41.    Masmoudi, Nader; Zhang, Ping; Zhang, Zhifei, Global well-posedness for 2D polymeric fluid models and growth estimate, Phys. D , 237 (10 12)  (2008),  1663–1675.

42.     Zhang, Ping, Global smooth solutions to the 2-D nonhomogeneous Navier-Stokes equations, Int. Math. Res. Not. IMRN, 2008,  Art. ID rnn 098, 26 pp;

43.    Zhang, Ping, Remark on the regularities of Kato's solutions to Navier-Stokes equations with initial data in Ld(Rd),  Chin. Ann. Math. Ser. B, 29(3) (2008),   265–272.

44.    *Zhang, Ping; Zhang, Zhifei, On the free boundary problem of three-dimensional incompressible Euler equations, Comm. Pure Appl. Math.,  61(7) (2008),  877–940;

45.     Lin, Fang Hua; Zhang, Ping, The FENE dumbbell model near equilibrium. Acta Math. Sin. (Engl. Ser.),  24(4) (2008),   529–538;

46.     Lin, Fanghua; Zhang, Ping, On the initial-boundary value problem of the incompressible viscoelastic fluid system, Comm. Pure Appl. Math., 61(4)  (2008), 539–558;

47.     Lin, Fanghua; Zhang, Ping; Zhang, Zhifei ,On the global existence of smooth solution to the 2-D FENE dumbbell model, Comm. Math. Phys.,277(2)  (2008),  531–553;

48.    Gui, Guilong; Zhang, Ping, Global smooth solutions to the 2-D inhomogeneous Navier-Stokes equations with variable viscosity, Chin. Ann. Math. Ser. B,  30(5)  (2009),  607–630;

49.    Gamba, Irene M.; Gualdani, Maria Pia; Zhang, Ping, On the blowing up of solutions to quantum hydrodynamic models on bounded domains, Monatsh. Math., 157(1) (2009),  37–54;

50.    He, Lingbing; Zhang, Ping, L2 decay of solutions to a micro-macro model for polymeric fluids near equilibrium, SIAM J. Math. Anal., 40(5) (2008/09),  1905–1922;

51.    Goudon, Thierry; He, Lingbing; Moussa, Ayman; Zhang, Ping, The Navier-Stokes-Vlasov-Fokker-Planck system near equilibrium, SIAM J. Math. Anal. , 42(5)  (2010),   2177–2202;

52.    Gui, Guilong; Zhang, Ping, Stability to the global large solutions of 3-D Navier-Stokes equations, Adv. Math.,  225(3) (2010),  1248–1284;

53.     Feireisl, Eduard; Zhang, Ping, Quasi-neutral limit for a model of viscous plasma, Arch. Ration. Mech. Anal., 197(1) (2010),  271–295;

54.     Zhang, Ping; Zheng, Yuxi, Conservative solutions to a system of variational wave equations of nematic liquid crystals, Arch. Ration. Mech. Anal., 195(3) (2010),  701–727;

55.    Paicu  Marius Zhang, Ping, Global solutions to the 3-D incompressible anisotropic Navier-Stokes system in the critical spaces, Comm. Math. Phys., 307(3) (2011),  713–759;

56.    Gui, Guilong; Huang, Jingchi; Zhang, Ping, Large global solutions to 3-D inhomogeneous Navier-Stokes equations slowly varying in one variable, J. Funct. Anal., 261(11) (2011),  3181–3210;

57.    Abidi, Hammadi; Gui, Guilong; Zhang, Ping, On the decay and stability of global solutions to the 3D inhomogeneous Navier-Stokes equations, Comm. Pure Appl. Math., 64(6) (2011),  832–881;

58.    Zhang, Ping; Zhang, Ting, Regularity of the Koch-Tataru solutions to Navier-Stokes system, Sci. China Math., 55(2) (2012),  453–464;

59.    Ming, Mei; Saut, Jean Claude; Zhang, Ping, Long-time existence of solutions to Boussinesq systems, SIAM J. Math. Anal., (6)44 (2012),  4078–4100;

60.    Ming, Mei; Zhang, Ping; Zhang, Zhifei, Long-wave approximation to the 3-D capillary-gravity waves, SIAM J. Math. Anal., 44(4) (2012),  2920–2948;

61.    Ming, Mei; Zhang, Ping; Zhang, Zhifei, Large time well-posedness of the three-dimensional capillary-gravity waves in the long wave regime., Arch. Ration. Mech. Anal., 204(2) (2012),  387–444;

62.    Zhang, Ping; Zheng, Yuxi Energy conservative solutions to a one-dimensional full variational wave system, Comm. Pure Appl. Math., 65(5) (2012),  683–726;

63.     Abidi, Hammadi; Gui, Guilong; Zhang, Ping, On the wellposedness of three-dimensional inhomogeneous Navier-Stokes equations in the critical spaces, Arch. Ration. Mech. Anal., 204(1) (2012),  189–230;

64.    Paicu, Marius; Zhang, Ping, Global solutions to the 3-D incompressible inhomogeneous Navier-Stokes system, J. Funct. Anal., 262(8) (2012),  3556–3584;

65.    Paicu, Marius; Zhang, Ping; Zhang, Zhifei, Global unique solvability of inhomogeneous Navier-Stokes equations with bounded density, Comm. Partial Differential Equations, 38(7) (2013),  1208–1234;

66.    Chemin, Jean-Yves; Gallagher, Isabelle; Zhang, Ping, Sums of large global solutions to the incompressible Navier-Stokes equations, J. Reine Angew. Math., 681 (2013), 65–82;

67.    Huang, Jingchi; Paicu, Marius; Zhang, Ping, Global solutions to 2-D inhomogeneous Navier-Stokes system with general velocity, J. Math. Pures Appl. (9), 100(6) (2013),  806–831;

68.     Abidi, Hammadi; Gui, Guilong; Zhang, Ping, Well-posedness of 3-D inhomogeneous Navier-Stokes equations with highly oscillatory initial velocity field, J. Math. Pures Appl. (9), 100(2) (2013),  166–203;

69.    Huang, Jingchi; Paicu, Marius; Zhang, Ping, Global well-posedness of incompressible inhomogeneous fluid systems with bounded density or non-Lipschitz velocity, Arch. Ration. Mech. Anal., 209(2) (2013),  631–682;

70.    Xu, Li; Zhang, Ping; Zhang, Zhifei, Global solvability of a free boundary three-dimensional incompressible viscoelastic fluid system with surface tension, Arch. Ration. Mech. Anal., 208(3) (2013),  753–803;

71.    Chen, Geng; Zhang, Ping; Zheng, Yuxi, Energy conservative solutions to a nonlinear wave system of nematic liquid crystals, Commun. Pure Appl. Anal., 12(3) (2013),  1445–1468;

72.    Danchin, Raphaël; Zhang, Ping, Inhomogeneous Navier-Stokes equations in the half-space, with only bounded density, J. Funct. Anal.,  267(7) (2014),  2371–2436;

73.    Zhang, Ping; Zhang, Ting, Global axisymmetric solutions to three-dimensional Navier-Stokes system,.Int. Math. Res. Not. IMRN, 2014, no. 3, 610–642; 

74.    Lin, Fanghua; Zhang, Ping, Global small solutions to an MHD-type system: the three-dimensional case. Comm. Pure Appl. Math. 67(4) (2014),  531–580;

75.     Chemin, Jean-Yves; Paicu, Marius; Zhang, Ping, Global large solutions to 3-D inhomogeneous Navier-Stokes system with one slow variable, J. Differential Equations, 256(1) (2014),  223–252;

76.    Xu, Li; Zhang, Ping, Global Small Solutions to Three-Dimensional Incompressible Magnetohydrodynamical System, SIAM J. Math. Anal.,  47(1) (2015),  26–65;

77.    Abidi, Hammadi; Zhang, Ping, Global well-posedness of 3-D density-dependent Navier-Stokes system with variable viscosity, Sci. China Math., 58(6) (2015),  1129–1150;

78.    Abidi, Hammadi; Zhang, Ping, On the global well-posedness of 2-D inhomogeneous incompressible Navier-Stokes system with variable viscous coefficient, J. Differential Equations, 259(8) (2015),  3755–3802;

79.    Paicu, Marius; Zhang, Ping, On some large global solutions to 3-D density-dependent Navier-Stokes system with slow variable: well-prepared data, Ann. Inst. H. Poincaré Anal. Non Linéaire, 32(4) (2015),  813–832;

80.    Abidi, Hammadi; Zhang, Ping, Global smooth axisymmetric solutions of 3-D inhomogeneous incompressible Navier-Stokes system, Calc. Var. Partial Differential Equations, 54(3) (2015),  3251–3276;

81.    Chemin  Jean-Yves; Zhang Ping, On the critical one compoenent regularity for 3-D Navier-Stokes system, Ann. Sci. École Norm. Sup.  (4), 49(1) (2016),  131–167;

82.    Liao, Xian; Zhang, Ping, On the global regularity of the two-dimensional density patch for inhomogeneous incompressible viscous flow, Arch. Ration. Mech. Anal., 220(3) (2016),  937–981;

83.    Ri, Myong-Hwan; Zhang, Ping; Zhang, Zhifei, Global well-posedness for Navier-Stokes equations with small initial value in B 0 n,∞ (Ω) , J. Math. Fluid Mech., 18(1) (2016), 103–131;

84.    Zhang, Ping; Zhang, Zhifei, Long time well-posedness of Prandtl system with small and analytic initial data, J. Funct. Anal., 270(7) (2016), 2591–2615;.

85.    Abidi, Hammadi; Zhang, Ping, On the global well-posedness of 2-D Boussinesq system with variable viscosity, Adv. Math., 305 (2017), 1202–1249;

86.    Chemin, Jean-Yves; Zhang, Ping; Zhang, Zhifei, On the critical one component regularity for 3-D Navier-Stokes system: general case, Arch. Ration. Mech. Anal., 224(3)  (2017),  871–905;

87.    Abidi, Hammadi; Zhang, Ping, On the global solution of a 3-D MHD system with initial data near equilibrium, Comm. Pure Appl. Math., 70(8) (2017),  1509–1561;

88.    Liu, Yanlin; Zhang, Ping, On the global well-posedness of 3-D axi-symmetric Navier-Stokes system with small swirl component, Calc. Var. Partial Differential Equations, 57(1) (2018),  Art. 17, 31 pp;

89.    Zhang, Ping; Zhang, Zhifei, Global well-posedness of 3-D inhomogeneous Navier-Stokes system with ill-prepared initial data, Rev. Mat. Iberoam., 34 (1)(2018),  355–395;

90.    Deng, Wen; Zhang, Ping, Large time behavior of solutions to 3-D MHD system with initial data near equilibrium., Arch. Ration. Mech. Anal., 230 (3)(2018),  1017–1102;

91.    Chemin, Jean-Yves; Zhang, Ping, Inhomogeneous incompressible viscous flows with slowly varying initial data, J. Inst. Math. Jussieu, 17 (5)(2018),  1121–1172;

92.    Xian Liao and Ping Zhang, Global  regularities of 2-D density patch for viscous inhomogeneous incompressible  flow with  general density, Comm. Pure. Appl. Math.，72 (2019), no. 4, 835–884;

93.    Liao, Xian; Zhang, Ping Global regularity of 2-D density patches for viscous inhomogeneous incompressible flow with general density: high regularity case. Anal. Theory Appl. 35 (2019), no. 2, 163–191;

94.    Paicu, Marius; Zhang, Ping Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction. Sci. China Math. 62 (2019), no. 6, 1175–1204;

95.    Chemin, Jean-Yves; Gallagher, Isabelle; Zhang, Ping Some remarks about the possible blow-up for the Navier-Stokes equations. Comm. Partial Differential Equations 44 (2019), no. 12, 1387–1405;

96.    Abidi, Hammadi; Zhang, Ping On the global well-posedness of 3-D Boussinesq system with variable viscosity. Chin. Ann. Math. Ser. B 40 (2019), no. 5, 643–688;

97.    Ri, Myong-Hwan; Zhang, Ping Existence of incompressible and immiscible flows in critical function spaces on bounded domains. J. Math. Fluid Mech. 21 (2019), no. 4, Paper No. 57, 30 pp.

98.    Coron, Jean-Michel; Marbach, Frédéric; Sueur, Franck; Zhang, Ping Controllability of the Navier-Stokes equation in a rectangle with a little help of a distributed phantom force. Ann. PDE 5 (2019), no. 2, Paper No. 17, 49 pp.

99.    Farwig, Reinhard; Qian, Chenyin; Zhang, Ping Incompressible inhomogeneous fluids in bounded domains of R3 with bounded density. J. Funct. Anal. 278 (2020), no. 5, 108394, 36 pp.

100.Zhang, Ping Global Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes system. Adv. Math. 363 (2020), 107007, 43 pp.

101.Liao, Jiajiang; Sueur, Franck; Zhang, Ping Zero-viscosity limit of the incompressible Navier-Stokes equations with sharp vorticity gradient. J. Differential Equations 268 (2020), no. 10, 5855–5891.

102.Paicu, Marius; Zhang, Ping Striated regularity of 2-D inhomogeneous incompressible Navier-Stokes system with variable viscosity. Comm. Math. Phys. 376 (2020), no. 1, 385–439.

103.Liu, Yanlin; Zhang, Ping; Global Solutions of 3-D Navier–Stokes System with Small Unidirectional Derivative. Arch. Ration. Mech. Anal. 235 (2020), no. 2, 1405–1444.

104.Paicu, Marius; Zhang, Ping; Zhang, Zhifei; On the hydrostatic approximation of the Navier-Stokes equations in a thin strip. Adv. Math. 372 (2020), 107293.

105.Liu, Yanlin; Paicu, Marius; Zhang, Ping; Global Well-Posedness of 3-D Anisotropic Navier-Stokes System with Small Unidirectional Derivative. Arch. Ration. Mech. Anal. 238 (2020), no. 2, 805–843.

106.Liu, Yanlin; Zhang, Ping; Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient. J. Funct. Anal. 279 (2020), no. 10, 108736.

107.Chemin, Jean-Yves; Gallagher, Isabelle; Zhang, Ping On the radius of analyticity of solutions to semi-linear parabolic systems. Math. Res. Lett. 27 (2020), no. 6, 1631–1643.

108.Liu, Ning; Zhang, Ping Global small analytic solutions of MHD boundary layer equations. J. Differential Equations 281 (2021), 199–257.

109.Liang, Siyu; Zhang, Ping; Zhu, Rongchan Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity. J. Differential Equations 275 (2021), 473–50。

110.Paicu, Marius; Zhang, Ping; Global Existence and the Decay of Solutions to the Prandtl System with Small Analytic Data. Arch. Ration. Mech. Anal. 241 (2021), no. 1, 403–446.

111.Deng, Wen; Wu, Jiahong; Zhang, Ping Stability of Couette flow for 2D Boussinesq system with vertical dissipation. J. Funct. Anal. 281 (2021), no. 12, Paper No. 109255, 40 pp.

112.Liu, Yanlin; Zhang, Ping Remark on 3-D Navier-Stokes system with strong dissipation in one direction. Commun. Pure Appl. Anal. 20 (2021), no. 7-8, 2765–2787.

113.Shao, Ruijie; Zhang, Ping; On the instability of the possible blow-up solutions to 2D Boussinesq system. J. Differential Equations 306 (2022), 547–568.

114.Liao, Jiajiang; Sueur, Franck; Zhang, Ping; Smooth controllability of the Navier-Stokes equation with Navier conditions: application to Lagrangian controllability. Arch. Ration. Mech. Anal. 243 (2022), no. 2, 869–941.

115.Deng, Wen; Paicu, Marius; Zhang, Ping; Remarks on the decay of Fourier coefficients to solutions of Navier-Stokes system. Proc. Amer. Math. Soc. 150 (2022), no. 3, 1223–1234.

116.Gui, Guilong; Zhang, Ping; Semiclassical limit of Gross-Pitaevskii equation with Dirichlet boundary condition. SIAM J. Math. Anal. 54 (2022), no. 1, 1053–1104.

Book:

[1] Zhang, Ping; Zheng, Yuxi On the global weak solutions to a variational wave equation. Evolutionary equations. Vol. II, 561–648, Handb. Differ. Equ., Elsevier/North-Holland, Amsterdam, 2005.

[2] Zhang, Ping Wigner measure and semiclassical limits of nonlinear Schrödinger equations. Courant Lecture Notes in Mathematics, 17. Courant Institute of Mathematical Sciences, New York; American Mathematical Society, 2008, Providence, RI. viii+197 pp. ISBN: 978-0-8218-4701-5 .