副教授
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徐新英

职称:副教授

职务:

学历:博士

电子邮件:xinyingxu@xmu.edu.cn

联系电话:2580697

办 公 室:数理大楼676

教育经历:

1997.9-2001.7:山东师范大学数学系,数学与应用数学,理学学士学位

2001.9-2004.7:厦门大学数学科学学院,基础数学,理学硕士学位

2004.9-2007.7:厦门大学数学科学学院,基础数学,理学博士学位

工作经历:

2007.7-2013.6:厦门大学数学科学学院,助理教授

2010.8-2012.9:首都师范大学数学科学学院,博士后

2013.8至今:厦门大学数学科学学院,副教授

20152月至20162月:访问美国匹兹堡大学王德华教授

研究方向:

流体力学的偏微分方程()

科研项目:

1)国家自然科学基金(NNSFC),项目名称: Hall-MHD方程组解的定性研究,项目编号: 11871407,执行时间:2019.1-2022.12(项目负责人)

2)国家自然科学基金(NNSFC),项目名称: 磁流体及其相关模型的定性研究,项目编号: 11301431,执行时间:2014.1-2016.12(项目负责人)

3)国家自然科学基金(NNSFC),项目名称:粘弹性流体动力学模型的数学理论研究,项目编号:12071390,执行时间:2021.1-2024.12(第一合作者)

4国家自然科学基金(NNSFC),项目名称:退化抛物方程的可解性及其在可压缩流体力学中的应用,项目编号:11671333,执行时间:2017.1-2020.12(第二合作者)

5国家自然科学基金(NNSFC),项目名称:流体动力学若干模型的定性研究,项目编号:11171228, 执行时间:2012.1-2015.12(第一合作者)

论文:

[1] Xu, Xinying; Zhang, Jianwen; Zhong, Minghui; On the Cauchy problem of 3D compressible, viscous, heat-conductive Navier-Stokes-Poisson equations subject to large and non-flat doping profile. Calc. Var. Partial Differential Equations 61 (2022), no. 5, Paper No. 161.

[2]Song, Changzhen; Xu, Xinying; Zhang, Jianwen On the Cauchy problem of the full Navier-Stokes equations for three-dimensional compressible viscous heat-conducting flows subject to large external potential force. Indiana Univ. Math. J. 71 (2022), no. 2, 509–560.

[3]Lai, Suhua; Xu, Xinying Global strong solutions for planar full compressible Hall-MHD equations with large initial data. Commun. Math. Sci. Vol. 19, No. 7 (2021), 1913-1943.

[4]Liu, Shengquan; Xu, Xinying; Zhang, Jianwen Global well-posedness of strong solutions with large oscillations and vacuum to the compressible Navier-Stokes-Poisson equations subject to large and non-flat doping profile. J. Differential Equations 269 (2020), no. 10, 8468-8508.

[5]Lai, Suhua; Xu, Xinying; Zhang, Jianwen On the Cauchy problem of compressible full Hall-MHD equations. Z. Angew. Math. Phys. 70 (2019), no. 5, Paper No. 139, 22 pp.

[6]Lv, Boqiang; Shi, Xiaoding; Xu, Xinying Global existence and large-time asymptotic behavior of strong solutions to the compressible magnetohydrodynamic equations with vacuum. Indiana Univ. Math. J. 65 (2016), no. 3, 925-975.

[7]Lian, Ruxu; Xu, Xinying Free boundary value problem for the spherically symmetric compressible Navier-Stokes equations with a nonconstant exterior pressure. Acta Appl. Math. 144 (2016), 35-53.

[8]Liu, Shengquan; Xu, Xinying Global existence and temporal decay for the nematic liquid crystal flows. J. Math. Anal. Appl. 426 (2015), no. 1, 228-246.

[9]Chen, Mingtao; Xu, Xinying; Zhang, Jianwen Global weak solutions of 3D compressible micropolar fluids with discontinuous initial data and vacuum. Commun. Math. Sci. 13 (2015), no. 1, 225-247.

[10]Chen, Mingtao; Xu, Xinying; Zhang, Jianwen The zero limits of angular and micro-rotational viscosities for the two-dimensional micropolar fluid equations with boundary effect. Z. Angew. Math. Phys. 65 (2014), no. 4, 687-710.

[11]Li, Hailiang; Xu, Xinying; Zhang, Jianwen Global classical solutions to 3D compressible magnetohydrodynamic equations with large oscillations and vacuum. SIAM J. Math. Anal. 45 (2013), no. 3, 1356-1387.  

[12]Xu, Xinying A blow-up criterion for 3-D non-resistive conpressible heat-conductive magnetohydrodynamic equations with initial vacuum, Acta Math. Sci. Ser. B (Engl. Ed.) 32 (2012), no. 5, 1883-1900.

[13]Xu, Xinying; Zhang, Jianwen A blow-up criterion for 3-D compressible magnetohydrodynamic equations with vacuum. Math. Models Methods Appl. Sci. 22 (2012), no. 2, 1150010, 23 pp.

[14]Xu, Xinying; Zhang, Jianwen A blow-up criterion for 3-D non-resistive compressible magnetohydrodynamic equations with initial vacuum. Nonlinear Anal. Real World Appl. 12 (2011), no. 6, 3442-3451.

[15]Xu, Xinying; Zhao, Junning On the global existence and uniqueness of solutions to Prandtl's system. Acta. Math. Sin. 2009 Vol. 25 (1): 109-132.  

[16]徐新英 一类退化抛物方程解的性质. 厦门大学学报(自然科学版)2006 45(6)743-745.

[17]徐新英 非牛顿多方渗流方程解的有界性估计. 厦门大学学报(自然科学版)2004 43(4)444-449.

授课情况:

偏微分方程(数学物理方程)、常微分方程、高等数学

获奖:

2010年厦门大学青年教学技能大赛三等奖