研究方向:

大类是偏微分方程，具体从事流体方程及其边界层方程适定性，Boltzmann方程流体极限及其边界层方程适定性研究。

本人所研究方向对实分析和偏微分方程功底有极高要求，对泛函分析有较高要求，对几何要求一般，对其他课程要求低。

讲授课程:

实变函数(现在)；复变函数(曾经)；微积分(曾经)

个人简介：

    2016.07--2018.06  武汉大学，博士后

    2014.11--2016.06  Université de Rouen(法国)，博士

    2010.09--2016.06  厦门大学，应用数学，博士

    2006.09--2010.07  郑州大学，数学与应用数学，学士

科研项目：

青年基金，Boltzmann方程及其耦合模型的扩散极限研究；已结项

科研成果：

[1] N. Jiang, Y.-L. Luo and X. Zhang, Stability of equilibria to the model for non-isothermal electrokinetics. Comm. Math.Sci 19 (2021), pp. 687-720.

[2] N. Jiang and X. Zhang, The Boltzmann equation with incoming boundary condition: global solutions and Navier-Stokes limit. SIAM J. Math. Anal. 51 (2019), 2504–2534.

[3] N. Jiang and X. Zhang, Global renormalized solutions and Nvier–Stokes limit of the Boltzmann equation with incoming boundary condition for long range interaction. J. Differential Equations 266 (2019), 2597–2637.

[4] C.-J. Xu and X. Zhang, Long time well-posedness of Prandtl equations in Sobolev space. J. Differential Equations 263(2017), 8749–8803.

[5] X. Zhang and Z. Tan, The global wellposedness of the 3d heat-conducting viscous incompressible fluids with bounded density.Nonlinear Analysis: Real World Applications 22 (2015), 129–147.

[6] Z. Tan and X. Zhang, Decay estimates of the coupled chemotaxis–fluid equations in r3. Journal of Mathematical Analysis and Applications 410 (2014), 27–38.

[7] Z. Tan, X. Zhang and H. Wang, Asymptotic behavior of navier-stokes-korteweg with friction in R3 . Discrete and Continuous Dynamical Systems 34 (2014), 2243–2259.

[8] X. Zhang and Z. Tan, Decay estimates of the non-isentropic compressible fluid models of korteweg type in R 3 . Comm. Math.Sci 12 (2014), 1437–1456.

[9] Z. Tan and X. Zhang, Decay of the non-isentropic navier–stokes–poisson equations. Journal of Mathematical Analysis and Applications 400 (2013), 293–303.

[10] Z. Tan, Y. Wang and X. Zhang, Large time behavior of solutions to the non-isentropic compressible navier-stokes-poisson system in R3 . Kinetic & Related Models 5 (2012).