| 科研成果 | <p> [1] J. Li, Q. Tao, Global small solutions to heat conductive compressible nematic liquid crystal system: smallness on a scaling invariant quantity. Commun. Math. Sci. 21 (2023), no. 6, 1455–1486. <br>
 [2] Q. Tao, Local exact controllability for a viscous compressible two-phase model. J. Differential Equations 281 (2021), 58–84.  <br>
 [3] Q. Tao, Hang Gao, On the null controllability of parabolic equations with nonlinear memory. Internat. J. Control 93 (2020), no. 7, 1745–1753. <br>
 [4] Q. Tao, Local exact controllability for the planar compressible magnetohydrodynamic equations. SIAM J. Control Optim. 56 (2018), no. 6, 4461–4487. <br>
 [5] Q. Tao, Y. Yang, J. Gao, A free boundary problem for planar compressible Hall-magnetohydrodynamic equations. Z. Angew. Math. Phys. 69 (2018), no. 1, Paper No. 15, 22 pp. <br>
 [6] Q. Tao, Z. Yao, Global existence and large time behavior for a two-dimensional chemotaxis-shallow water system. J. Differential Equations 265 (2018), no. 7, 3092–3129.<br>
 [7] Q. Tao, Y. Yang, Z. Yao, Global existence and exponential stability of solutions for planar compressible Hall-magnetohydrodynamic equations. J. Differential Equations 263 (2017), no. 7, 3788–3831.  <br>
 [8] J. Gao, Q. Tao, Z. Yao, Long-time behavior of solution for the compressible nematic liquid crystal flows in R3. J. Differential Equations 261 (2016), no. 4, 2334–2383. <br>
 [9] J. Gao, Q. Tao, Z. Yao, Strong solutions to the density-dependent incompressible nematic liquid crystal flows. J. Differential Equations 260 (2016), no. 4, 3691–3748. <br>
 [10] J. Gao, Q. Tao, Z. Yao, Optimal decay rates of classical solutions for the full compressible MHD equations. Z. Angew. Math. Phys. 67 (2016), no. 2, Art. 23, 22 pp.
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 | 科研项目 | 1. 国家自然科学基金面上项目,磁流体方程的能控性,2020.1-2023.12, 主持;<br> 2. 国家自然科学基金青年基金,可压缩Navier-Stokes方程的能控性,2016.1-2018.12,主持; <br>
 3. 广东省自然科学基金面上项目,液晶动力学方程的能控性问题研究,2023.1-2025.12,主持;<br>
 4. 广东省自然科学基金面上项目,可压缩MHD方程相关能控性问题研究, 2019.10-2022.9,主持;<br>
 5. 广东省自然科学基金博士启动项目,Navier-Stokes方程相关能控性问题研究,2015.1-2018.1,主持;<br>
 6. 国家自然科学基金面上项目,Hardy-Littlewood-Sobolev不等式与非局部椭圆方程,2018.1-2021.12,参与;<br>
 7. 国家自然科学基金面上项目,部分耗散MHD方程及相关数学模型的定性研究,2019.1-2022.12,参与;<br>
 8. 广东省联合基金重点项目, 面向高超声速飞行的MHD保结构离散格式和大规模并行算法研究,2022.10-2025.9,参与。<br>
 
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