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张剑文
发布时间:2020年10月10日浏览:


科研项目(Research Grants)

(1) 国家自然科学基金(NNSFC),项目名称:磁流体力学中的磁冻结极限和磁边界层问题,项目编号: 10801111,执行时间:2009.1-2011.12

(2) 福建省自然科学基金(NSF of FUJIAN),项目名称:Boussinesq方程组的粘性极限、边界层效应和正则性研究,项目编号:2010J05011,执行时间:2010.6-2013.6

(3) 国家自然科学基金(NNSFC),项目名称: Navier-Stokes方程与边界层理论的若干问题,项目编号: 10971171,执行时间:2010.1-2012.12

(4) 国家自然科学基金(NNSFC),项目名称:奇性抛物方程理论及其在流体力学中的应用,项目编号:11271306,执行时间:2013.1-2016.12

(5) 福建省自然科学基金(NSF of FUJIAN),项目名称:不可压缩流体力学的数学理论研究,项目编号:2015J01023,执行时间:2015.1-2017.12

(6) 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

(7) 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

主要论文(Selected Publications):

http://www.ams.org/mathscinet/search/author.html?mrauthid=727780

Changzheng Song, Xinying Xu, Jianwen Zhang: On the Cauchy problem of the full Navier-Stokes equations for three-dimensional compressible viscous heat-conducting flows subject to large external potential forces. Accepted by IUMJ.

Hao Xu, Jianwen Zhang: Regularity and uniqueness for the compressible full Navier-Stokes equations. JDE, 272 (2021), 46-73.

Shengquan Liu, Xinying Xu, Jianwen Zhang: 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. JDE, 269 (2020), 8468-8508.

Xia Ye, Jianwen Zhang: The behavior of boundary layer for the compressible planar MHD equations at small shear viscosity. JDDE,32 (2020), 281-311.

Jinkai Li, Zhonghai Xu, Jianwen Zhang: Global well-posedness with large oscillations and vacuum to the three-dimensional equations of compressible nematic liquid crystal flows. JMFM, 20 (2018), 2105-2145.

Song Jiang, Jianwen Zhang: On the vanishing resistivity limit and the magnetic boundary layer for one-dimensional compressible magnetohydrodynamics. Nonlinearity, 30 (2017), 3587-3612.

Jianwen Zhang, Xiaokui Zhao: On the global solvability and the non-resistive limit of the compressible heat-conductive MHD equations. JMP, 58 (2017), 031504.

Xia Ye, Jianwen Zhang: Boundary-layer phenomena for the cylindrically symmetric Navier-Stokes equations of compressible heat-conducting fluids with large data at vanishing shear viscosity. Nonlinearity, 29 (2016) 2395-2416.

Xia Ye, Jianwen Zhang: On the behavior of boundary layer of one-dimensional isentropic planar MHD equations with vanishing shear viscosity limit. JDE, 260 (2016), 3927-3961. Jianwen Zhang: Global well-posedness for the incompressible Navier-Stokes equations with density-dependent viscosity coefficient. JDE, 259 (2015), 1722-1742.

Jing Li, Jianwen Zhang, Junning Zhao: On the global motion of viscous compressible baratropic flows subject to large external potential forces and vacuum. SJMA, 47(2) (2015), 1121-1153.

Hailiang Li, Xinying Xu, Jianwen Zhang: Global classical solutions to 3D compressible magnetohydrodynamic equations with large oscillations and vacuum. SJMA, 45(3) (2013), 1356–1387.

Shengquan Liu, Haibo Yu, Jianwen Zhang: Global weak solutions of 3D compressible MHD with discontinuous initial data and vacuum. JDE, 254 (2013), 229-255.

Xinying Xu, Jianwen Zhang: A blow-up criterion for 3-D compressible magnetohydrodynamic equations with vacuum. M3AS, 22(2) (2012), 1150010 (23 pages), DOI No. 10.1142/S0218202511500102.

Song Jiang, Jianwen Zhang, Junning Zhao: Boundary-layer effects for the 2-D Boussinesq equations with vanishing diffusivity limit in the half plane. JDE, 250 (2011), 3907-3936.

Jianwen Zhang, Song Jiang, Feng Xie: Global weak solutions of an initial boundary value problem for screw pinches in plasma physics. M3AS, 19(6) (2009), 833-875.

Song Jiang, Jianwen Zhang: Boundary layers for the Navier-Stokes equations of compressible heat-conducting flows with cylindrical symmetry. SJMA, 41(1) (2009), 237-268.

Jianwen Zhang, Feng Xie: Global solutions for a one-dimensional model problem in thermally radiative magnetohydrodynamics. JDE, 245 (2008), 1853-1882.

Jianwen Zhang, Junning Zhao: On the global existence and uniqueness of solutions to the nonstationary boundary layer systems. Sci. China, A., 49(7) (2006), 932-960.