| 科研成果 |
<p>
Qin Duan; Zhouping Xin; Shengguo Zhu ; On regular solutions for three-dimensional full compressible Navier–Stokes equations with degenerate viscosities and far field vacuum, Archive for Rational Mechanics and Analysis, 2023, 247(1). <br>Qin Duan; Xiangdi Huang ; Local weak solution of the isentropic compressible Navier- Stokes equations in a half-space, Science China Mathematics, 2022, 65(5): 993-1002. <br>Qin Duan; Yuelong Xiao; Zhouping Xin;On the vanishing dissipation limit for the incompressible MHD equations on bounded domains,SCIENCE CHINA Mathematics, 2022, 65(1): 31-50. <br>Duan, Qin; Li, Hai-Liang ; Global existence of weak solution for the compressible Navier- Stokes-Poisson system for gaseous stars, Journal of Differential Equations, 2015, 259(10): 5302- 5330. <br>Duan,Qin;Local strong solution of Navier-Stokes-Poisson equations with degenerated viscosity coefficient, Mathematical Methods in the Applied Sciences, 2015, 38: 4154-4177. <br> Duan,Qin; On the dynamics of Navier–Stokes equations for a spherically symmetric shallow water model, Journal of Mathematical Analysis and Applications, 2013, 404(2): 260-282. <br>Duan,Qin ; Global well-posedness of classical solutions to the compressible Navier-Stokes equations in a half-space, Journal of Differential Eqautions, 2012, 1: 167-202. <br>Duan,Qin ; On the dynamics of Navier-Stokes equations for a shallow water model, Journal of Differential Equations, 2011, 6: 2687-2714. |
科研项目 |
国家自然科学基金委员会, 面上项目,12371235,具有退化耗散的非等熵可压缩Navier-Stokes方程正则解的研究,2024.01-2027.12,43.5万元，在研，主持。
<br>国家自然科学基金委员会, 面上项目, 12271369, 带权的局部和非局部椭圆方程, 2023-01-01 至 2026-12-31, 45万元, 在研, 参与。<br>广东省基础与应用基础研究基金, 面上项目, 2020A1515010554, 图像恢复模型中的分数阶p拉普拉斯 方程的理论研究与应用, 2019-10 至 2022-09, 10万元, 结题, 参与。 <br>国家自然科学基金面上项目，11771300，Hardy-Littlewood-Sobolev不等式与非局部椭圆方程，2018/01-2021/12，48万元，已结题，参与。 <br>国家自然科学基金面上项目，11571240，不可压缩流体运动能量耗散方法之研究，2015/01-2018/12，50万元，已结题，参与。 <br>国家自然科学基金青年科学基金项目，11201310，可压缩Navier-Stokes方程全局光滑解的适定性问题，2013/01-2015/12，已结题，主持。<br></p> |
