1.山东省自然科学基金面上项目：可压流体力学方程组弱(强)解的适定性及其大时间行为，2015.07-2017.12。
2.国家自然科学基金地区项目，等离子体物理中的几类非局部问题的研究，2015.01-2018.12。
3.国家自然科学基金面上项目，奇性抛物方程理论及其在流体力学中的应用，2013.01-2016.12。
4.国家自然科学基金面上项目，奇异J-对称哈密顿系统谱问题研究，2015.01-2018.12。
5.山东省自然科学基金面上项目：高维可压Navier-Stokes方程组中的若干数学问题，2019年7月-2022年6月。

[1]Chen, Mingtao; Xu, Xiaojing Unique solvability for the density-dependent non-Newtonian compressible fluids with vacuum. Math. Nachr.  289 (2016), no. 4, 452–470
             
            [2]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
             
            [3]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
             
            [4]Chen, Mingtao Global well-posedness of the 2D incompressible micropolar fluid flows with partial viscosity and angular viscosity.  Acta Math. Sci. Ser. B Engl. Ed. 33 (2013), no. 4, 929–935
             
            [5]Chen, Mingtao; Liu, Shengquan Blow-up criterion for 3D viscous-resistive compressible magnetohydrodynamic equations. Math. Methods  Appl. Sci. 36 (2013), no. 9, 1145–1156
             
            [6]Chen, Mingtao; Huang, Bin; Zhang, Jianwen Blowup criterion for the three-dimensional equations of compressible viscous micropolar  fluids with vacuum. Nonlinear Anal. 79 (2013), 1–11
             
            [7]Chen, Mingtao; Liu, Shengquan Blow-up criterion for 3-D compressible magnetohydrodynamics with vacuum and zero resistivity. J. Math.  Anal. Appl. 400 (2013), no. 1, 174–186
             
            [8]Chen, Mingtao Blowup criterion for viscous, compressible micropolar fluids with vacuum. Nonlinear Anal. Real World Appl. 13 (2012),  no. 2, 850–859

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