Academic Programs |
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Scientific research |
<p> 1. 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>2.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 (期刊论 文). <br>3.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>4.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>5.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>6. 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>7.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>8.Duan,Qin ; On the dynamics of Navier-Stokes equations for a shallow water model, Journal of Differential Equations, 2011, 6: 2687-2714.<br><br>科研项目:<br>1、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>2、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>3、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>4、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>5、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> |