1. 张凯军,都大鹏,张国敬,王雷,姜亦成,黎海彤,孙慧,陈亮,穆鹏程. 半导体流体动力学模型的数学理论研究. 国家自然科学基金项目(资助金额：50万元). 执行时间：2018-01-01至2021-12-31.
2. 李敬宇,都大鹏,张国敬,王雷,孟丽新,姜亦成,胡海丰. 生物数学趋化现象及相关偏微分方程的若干问题. 国家自然科学基金面上项目(资助金额：60万元). 执行时间：2016-01-01至2019-12-01.
3. 张凯军,都大鹏,张国敬,李敬宇,麦拉苏,梁闯闯,胡海丰,王雷. 半导体流体动力学模型及若干相关双曲问题的数学分析. 国家自然科学基金委员会(资助金额：56万元). 执行时间：2014-01-01至2017-12-01.
4. 张凯军,都大鹏,李敬宇,张羽,麦拉苏,梁闯闯. 半导体流体动力学与不可压缩磁流体动力学方程的若干数学问题. 国家自然科学基金委员会(资助金额：25万元). 执行时间：2011-01-01至2013-12-01.
5. 都大鹏. 不可压缩Navier-Stokes方程组解的衰减. 国家自然科学基金委员会(资助金额：16万元). 执行时间：2011-01-01至2013-12-01.

1. 都大鹏,吴奕飞,张凯军. On blow-up criterion for the nonlinear Schrodinger equation. DISCRETE CONT DYN S. 2016-07-01.
2. 都大鹏,李敬宇,张凯军. Blow-up of smooth solutions to the Navier-Stokes equations for compressible isothermal fluids. COMMUN MATH SCI. 2013-04-01.
3. 赵文静,都大鹏. Local well-posedness of lower regularity solutions for the incompressible viscoelastic fluid system. SCI CHINA MATH. 2010-06-01.
4. 都大鹏,吕菁. Blow-up for a semi-linear advection-diffusion system with energy conservation . CHINESE ANN MATH B. 2009-12-01.
5. HongjieDong,都大鹏. The Navier-Stokes Equations in the critical Lebesgue space. COMMUN MATH PHYS. 2009-11-01.
6. HongjieDong,都大鹏,DongLi. Finite time singularities and global well-posedness for Burgers’ equation with fractional dissipation. INDIANA U MATH J. 2009-10-01.
7. HongjieDong,都大鹏. Global well-posedness and a decay estimate for the critical dissipative Quasi-geostrophic equation in the whole space. DISCRETE CONT DYN S. 2008-12-01.
8. HongjieDong,都大鹏. Partial regularitiy of solutions to the four-dimensional Navier-Stokes equations at the first blow-up time. COMMUN MATH PHYS. 2007-12-01.
9. HongjieDong,都大鹏. On the local smoothness of solutions of the Navier-Stokes equations. J MATH FLUID MECH. 2007-12-01.