论著/Publications

My papers in ResearchGate, arXiv, MathSciNet, Google Scholar, ORCID

预印本/Preprints

1. (with T. Luo), Well-posedness for the linearized free boundary problem of incompressible ideal magnetohydrodynamics equations, submitted, arXiv:1912.05908, Jul. 2019.

著作/Books

1. (with B. X. Wang, Z. H. Huo, Z. H. Guo), Harmonic analysis method for nonlinear evolution equations,I, World Scientific Pub Co Inc, 2011.

期刊论文/Journal papers

1. (with T. Luo), Ill-posedness of free boundary problem of the incompressible ideal MHD, Commun. Math. Phys., 376(1), 259–286, 2020. [DOI]
2. On the motion of free interface in ideal incompressible MHD, Arch. Rational Mech. Anal., 224(2), 515–553, 2017. [DOI]
3. (with D. Wang), A Priori Estimates for the Free Boundary Problem of Incompressible Neo-Hookean Elastodynamics, J. Differential Equations, 261(1), 712–737, 2016. [DOI]
4. Remarks on the free boundary problem of compressible Euler equations in physical vacuum with general initial densities, Discrete Contin. Dyn. Syst. Ser. B, 20(9), 2885-2931, 2015. [DOI]
5. (with T. Luo), A Priori Estimates for Free Boundary Problem of Incompressible Inviscid Magnetohydrodynamic Flows, Arch. Ration. Mech. Anal., 212(3), 805-847, 2014. [DOI]
6. (with H.-L. Li), Well-Posedness for a Multidimensional Viscous Liquid-Gas Two-Phase Flow Model, SIAM J. Math. Anal., 44(3), 1304–1332, 2012. [DOI]
7. Global well-posedness for a multidimensional chemotaxis model in critical Besov spaces, Zeitschrift für angewandte Mathematik und Physik, 63(5), 825-834, 2012. [DOI]
8. (with Y.Q.Lin and H.-L. Li), Global well-posedness of compressible bipolar Navier-Stokes-Poisson equations, Acta Mathematica Sinica, English Series, 28(5), 925-940, 2012. [DOI]
9. Well-posedness for the viscous rotating shallow water equations with friction terms, J. Math. Phys.:, 52(2), 023101, 12pp, 2011. [DOI]
10. Well-posedness to the compressible viscous magnetohydrodynamic system, Nonlinear Analysis: Real World Applications, 12(6), 2962–2972, 2011. [DOI]
11. Cauchy problem for viscous shallow water equations with surface tension, Discrete Contin. Dyn. Syst. Ser. B, 13(3), 593--608, 2010. [DOI]
12. (with L.Hsiao, H.L.Li), Cauchy problem for viscous rotating shallow water equations, J. Differential Equations, 246(12), 4791–4812, 2009. [DOI]
13. (with H.L.Li), Global existence for compressible Navier–Stokes–Poisson equations in three and higher dimensions, J. Differential Equations, 246(12), 4791–4812, 2009. [DOI]
14. (with H.-L. Li, G. J. Zhang, M. Zhang), Long-time self-similar asymptotic of the macroscopic quantum models, J. Math. Phys.,  49(7), 073503, 14pp, 2008.  [DOI]
15. Recent progress on some kinds of nonlinear dispersive partial differential equations (in Chinese), Research Series for Excellent Doctoral Dissertation of Chinese Academy of Sciences, vol. 2007, 1-6, Science Press, Beijing, 2008.
16. (with L. Hsiao, H.-L. Li), Global well posedness for the Gross–Pitaevskii equation with an angular momentum rotational term, Math. Methods Appl. Sci., 31(6), 655--664, 2008.   [DOI]
17. (with L. Hsiao, H.-L. Li), Global well posedness for the Gross-Pitaevskii equation with an angular momentum rotational term in three dimensions, J. Math. Phys.,  48(10), 102105, 11pp, 2007. [DOI]
18. (with L. Hsiao, B. X. Wang), Well-posedness of Cauchy problem for the fourth order nonlinear Schrödinger equations in multi-dimensional spaces, J. Math. Anal. Appl., 2007, 328(1), 58--83.   [DOI]
19. Well-posedness for one-dimensional derivative nonlinear Schrödinger equations, Commun. Pure Appl. Anal., 2007, 6(4), 997--1021.  [DOI]
20. (with L. Hsiao, B. X. Wang), Wellposedness for the fourth order nonlinear Schrödinger equations, J. Math. Anal. Appl., 2006, 320(1), 246--265.   [DOI]
21. (with B. X. Wang, H. Hudzik), Energy scattering theory for the nonlinear Schrödinger equations with exponential growth in lower spatial dimensions, J. Differential Equations,  2006, 228(1), 311--338. [DOI]
22. The initial boundary value problem for quasi-linear Schrödinger-Poisson equations, Acta Math. Sci. Ser. B Engl. Ed., 2006, 26(1), 115--124. [DOI]
23. (with L.Hsiao), Studies on Schrödinger-Poisson systems (Excerpt of Dissertation), J. Grad. Sch. of CAS, 22(5), 141-146, 2005.
24. (with H.-L.Li), On the initial value problem for the bipolar Schrödinger-Poisson systems, J. Partial Diff. Eqns., 17(3), 283-288, 2004.
25. (with L. Hsiao, H.-L. Li), Modified scattering for bipolar nonlinear Schrödinger-Poisson equations, Math. Models Methods Appl. Sci., 2004, 14(10), 1481--1494.   [DOI]
26. (with L. Hsiao), Large time behavior and global existence of solution to the bipolar defocusing nonlinear Schrödinger-Poisson system, Quart. Appl. Math., 2004, 62(4), 701--710. [DOI]
27. (with Y.L.Jia and H.-L.Li), Quantum Euler-Poisson system: local existence of solutions, J. Partial Diff. Eqns., 16(4), 306-320, 2003.
28. Energy scattering for the generalized Davey-Stewartson equations, Acta. Math. Appl. Sinica, English Ser., 19(2), 333-340, 2003. [DOI]
29. Energy scattering for nonlinear Davey-Stewartson equations (in Chinese), J. Math. Res. Expo., 23(4), 645-650, 2003.
30. Energy scattering for the generalized Davey-Stewartson equations (Rapid Communications), J. Hebei Uni., Rat. Sci. Edt., 22(1), 73-74, 2002.

学位论文/Thesis

1. The Study on Schrodinger-Poisson Systems and Fourth Order Nonlinear Schrodinger Equations (in Chinese), PhD Thesis, Chinese Academy of Sciences,2005.
2. Energy Scattering for the Generalized Davey-Stewartson Equations(in English), Master Thesis, Hebei University， 2002.