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Doctoral Degree in Science
浙江大学
浙江大学
Business Address:理学院352
E-Mail:
部分研究成果:
S. Kawashima, Y. Shibata and J. Xu, Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion, Comm. Part. Diff. Equs., 2021, in press.
S. Kawashima, Y. Shibata and J. Xu, The Lp energy methods and decay for the compressible Navier-Stokes equations with capillarity, J. Math. Pures Appl., 154, 146-184, 2021.
Z. Xin and J. Xu, Optimal decay for the compressible Navier-Stokes equations without additional smallness assumptions, J. Differential Equations, 274(15), 543-575, 2021.
H. M. Cao, H. G. Li, C.-J. Xu and J. Xu, The Cauchy problem for the inhomogeneous non-cutoff Kac equation in critical Besov space, J. Differential Equations, 269(2), 1117-1171, 2020.
F. Charve, R. Danchin and J. Xu, Gevrey analyticity and decay for the compressible Navier-Stokes-Korteweg system in the critical framework, Indiana U. Math Journal, 2019, in press.
J. Xu, A low-frequency assumption for optimal time-decay estimates to the compressible Navier-Stokes equations, Comm. Math. Phys., 371, 525-560, 2019.
W. X. Shi and J. Xu, A sharp time-weighted inequality for the compressible Navier-Stokes-Poisson system in the critical Lp framework, J. Differential Equations, 266(10), 6426-6458, 2019.
R. Danchin and J. Xu, The time-decay estimates for compressible Navier-Stokes equations in the critical Lp framework, Arch. Rational Mech. Anal., 224(1), 53-90, 2017.
J. Xu and S. Kawashima, Frequency-localization Duhamel principle and its application to the optimal decay of dissipative systems, J. Differential Equations, 261, 2670-2701, 2016.
R.-J. Duan, S. Q. Liu and J. Xu, Global well-posedness in spatially critical Besov space for the Boltzmann equation, Arch. Rational Mech. Anal., 220(2),711-745, 2016.
J. Xu, N. Mori and S. Kawashima, Global existence and minimal decay regularity for the Timoshenko system: The case of non-equal wave speeds, J. Differential Equations, 259, 5533-5553, 2015.
J. Xu, N. Mori and S. Kawashima, Lp-Lq-Lr estimates and minimal decay regularity for compressible Euler-Maxwell equations, J. Math. Pures Appl., 104, 965-981, 2015.
J. Xu and S. Kawashima, The optimal decay estimates on the framework of Besov spaces for generally dissipative systems, Arch. Rational Mech. Anal., 218(1), 275-315, 2015.
N. Mori, J. Xu and S. Kawashima. Global existence and optimal decay rates for the Timoshenko system: the case of equal wave speeds, J. Differential Equations, 258(5), 1494-1518, 2015.
J. Xu and S. Kawashima, Global classical solutions for partially dissipative hyperbolic system of balance laws, Arch. Rational Mech. Anal., 211 (2), 513-553, 2014.
J. Xu and S. Kawashima, Diffusive relaxation limit of classical solutions to the damped compressible Euler equations, J. Differential Equations, 256 (2), 771-796, 2014.
Y. J. Peng and J. Xu, Global well-posedness of the hydrodynamic model for two-carrier plasmas, J. Differential Equations, 255(10), 3447-3471, 2013.
J. Xu, J. Xiong and S. Kawashima, Global well-posedness in critical Besov spaces for two-fluid Euler-Maxwell equations, SIAM J. Math. Anal., 45(3), 1422-1447, 2013.
J. Xu and Z. J. Wang, Relaxation limit in Besov spaces for compressible Euler equations, J. Math. Pures Appl., 99(1), 43-61, 2013.
J. Xu, Energy-transport and drift-diffusion limits of nonisentropic Euler-Poisson equations, J. Differential Equations, 252(2), 915-940, 2012.
J. Xu, Global classical solutions to the compressible Euler-Maxwell equations, SIAM J. Math. Anal., 43(6), 2688-2718, 2011.
J. Xu and Wen-A.Yong, Relaxation-time limits of non-isentropic hydrodynamic models for semiconductors, J. Differential Equations, 247(6), 1777-1795, 2009.
J. Xu, Relaxation-time limit in the isothermal hydrodynamic model for semiconductors, SIAM J. Math. Anal., 40(5), 1979-1991, 2008.
人才培养:自2009年9月起,指导了14位硕士生,9位博士生,1位加纳籍留学博士生。
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2019.11 to 2020.8
 早稻田大学(日本) 
2019.8 to 2019.8
 麦吉尔大学(加拿大) 
2019.1 to 2019.2
 鲁昂大学(法国) 
2018.8 to 2018.9
 香港中文大学 
2017.11 to 2017.12
 鲁昂大学(法国) 
2016.10 to 2016.12
 巴黎十二大(法国) 
2016.7 to 2016.8
 维尔茨堡大学(德国) 
2015.8 to 2015.10
 巴黎十二大(法国) 
2013.11 to 2014.11
 九州大学(日本) 
2007.6 to Now
 南京航空航天大学 
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