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个人简介

贺巧琳,女,四川大学数学学院教授、硕士生导师。主要研究领域为关于有奇异解问题的自适应网格方法、流体力学问题的计算方法,复杂流体计算、数值分析和数值模拟、微分方程数值格式和机器学习的方法结合等等。 2000年-2007年相继在四川大学和香港科技大学获得理学学士、理学博士学位,2007年-2010年在香港科技大学从事博士后研究工作。2010年底来到四川大学数学学院工作至今。 学术成果 主持项目 1.主持国家自然科学基金面上项目,11971020,题为:“对带广义Navier边界条件的不可压缩两相流问题的数值模拟研究”,52万; 2.主持并且结题国家自然科学基金青年基金项目,11201322,题为:“颗流中实现滑移边界条件的数值模拟研究”,22万; 3.主持国家重点研发计划项目子课题,2018YFC0830304,“面向开庭全过程的多模态记录和融合比对分析技术及装备研究”,67.05万; 4主持并且结题教育部博士点基金—新教师类,题为“悬浮颗粒在微流中的数值模拟研究”,3万; 5 以第三负责人参与国家自然科学基金面上项目,11671027,题为“可压缩Navier-Stokes-Cahn-Hilliard方程组解的适定性和大时间行为”,48万,到校款10.09万; 6. 以第四负责人参与国家自然科学基金面上项目,题为“高维可压缩亚音速流体中的数学理论”; 7. 以第五负责人参与国家自然科学基金面上项目,题为“杂交有限元法的自适应理论与快速算法”。

研究领域

微分方程数值解、流体力学的数值计算方法,深度学习

近期论文

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1. Qiaolin He and Xiao--Ping Wang,“The effect of the boundary slip on the stability of shear flow”,Z. Angew. math. Mech.,88(9),2008,729—734. 2. Qiaolin He and Xiao--Ping Wang,“Numerical study of the effect of Navier slip on the driven cavity flow”,Z. Angew. Math. Mech.89(10), 2009,857—868. 3. Qiaolin He,“Numerical simulation and self-similar analysis of singular solutions of Prandtl equations”, Discrete and Continuous Dynamical Systems B, 13(1), 2010, 101—116. 4. Glowinski, Roland. and Qiaolin. He,“A leastsquares/fictitious domain method for linear elliptic problems with Robin boundary conditions”, Commun. Comput. Phys., 9(3), 2011, 587—606. 5. Qiaolin He , Glowinski, Roland and Xiao--Ping Wang,“A Least-Squares/Finite Element Method for the Numerical Solution of the Navier-Stokes-Cahn-Hilliard System Modeling the Motion of the Contact Line”, Journal of Computational Physics, 230, 2011, 4991—5009. 6. Mingshu Fan , Lili Du and Qiaolin He,“Blow-up properties for a degenerate parabolic system with nonlinear localized sources”, Journal of Computational and Applied Mathematics, 235(1), 2010, 91—101. 7. Glowinski, Roland. and Qiaolin. He,“Numerical Solution of Linear Elliptic Problems with Robin Boundary Conditions by a Least-Squares/Fictitious Domain Method”, Domain Decomposition Methods in Science and Engineering XIX , Series: Lecture Notes in Computational Science and Engineering, Vol. 78, Huang, Y.; Kornhuber, R.; Widlund, O.; Xu, J. (Eds.), 2009, Springer, 375-382. 8. Glowinski, Roland. and Qiaolin. He,“A Virtual Control Approach to the Numerical Solution of Some Elliptic Boundary Value Problems”, Proceeding of the First Symposium on Inverse Problems and its Applications, 2010, Ixtapa, Mexico, 13-20. 9. Qiaolin He,“Numerical Study of Solutions to Prandtl Equations and N-S Equations: Numerical Simulation”,VDM Verlag,Germany,2009,ISBN:3639182227. 10. Qiaolin He,“A two-level preconditioned Conjugate-Gradient method in distorted and structured grid”, Advances in Applied Mathematics and Mechanics, 4(2), 2012, 238—249. 11. Yazhou Chen,Qiaolin He,Xiaoding Shi,Teng Wang,Bing Zhang ,Unsteady Flow of Shear-Thinning non-Newtonian Incompressible Fluid Through a Twin-Screw Extruder ,Acta Mathematicae Applicatae Sinica-English Series,2016,32(2):423-436. 12. Qiaolin He, Jinyang Huang, Xiaoding Shi, Xiao-Ping Wang, Chao Bi, Numerical Simulation of 2D Unsteady Shear-Thinning Non-Newtonian Incompressible Fluid in Screw Extruder with Fictitious Domain Method, Computers and Mathematics with Applications, 73,2017, 109-121. 13.QiaolinHe,Chang Liu, Xiaoding Shi, Numerical study ofphase transition in van der Waalsfluid,Discrete & Continuous DynamicalSystems-B,2018, 23(10): 4519-4540. 14. Qiaolin He, Xiaomin Lv, A New Fictitious Domain Method for Elliptic Problems with the Third Type Boundary Conditions, Adv. Appl. Math. Mech., Vol. 10(3), 2018, pp. 634-651. 15. Yazhou Chen, Qiaolin He, Ming Mei, Xiaoding Shi,Asymptotic stability of solutions for 1-D compressible Navier-Stokes-Cahn-Hilliard system,Journal of Mathematical Analysis and Applications, Vol. 467(1), 2018, 185-206. 16. Qiaolin He, Roland Glowinski, Xiao-Ping Wang, A least-squares/fictitious domain method for incompressible viscous flow around obstacles with Navier slip boundary condition,J. Comput. Phys.366(2018),281–297. 17. Ya-zhou CHEN , Qiao-lin HE , Xiao-ding SHI , Teng WANG , Xiao-ping WANG,On the Motion of Shear-Thinning Heat-Conducting,Incompressible Fluid-Rigid System,Acta Mathematicae Applicatae Sinica-English Series,2018,34(3):534-552. 18. Qiaolin He , Xiaoding Shi , Numerical Study of Compressible Navier--Stokes--Cahn--Hilliard System, Comm Math Sci., 2020, 18(2):571-591. 19.Qiaolin He, Xiaoding Shi,Energy stable discontinuous Galerkin method for compressible Navier–Stokes–Allen–Cahn system,Commun Nonlinear Sci, 2021, 98, 105771. 20. Zhenyu Wang, Qiaolin He, Jizu Huang, The immersed boundary–lattice Boltzmann method for solving solid–fluid interaction problem with Navier–slip boundary condition, Computer & Fluids, 2021, 217(15): 104839. (三)部分国际会议报告情况: 1.“A two level preconditioned C-G method for solving elliptic equation in adaptive mesh”, International Conference on Multilevel Iterative Methods, Beijing, China, 8/2006. 2.“The Fictitious Domain Method for Simulation of Flow- Body Interaction”, IAS Seminar Series on Soft Matter, HKUST, HongKong, 5/2009. 3.“A Least-Squares/Fictitious Domain Method for Linear Elliptic Problems with Robin Boundary Conditions”, 19thInternational Conference on Domain Decomposition Methods, Zhangjiajie, China, 8/2009. 4.“Numerical Solution of Linear Elliptic Problems with Robin Boundary Conditions by a Least-Squares/Fictitiou Domain Method”, East Asian Post Graduate Workshop on Soft Matter, HKUST, Hong Kong, 4/2010. 5.“Numerical Solution of Linear Elliptic Problems with Robin Boundary Conditions by a Least-Squares/Fictitious Domain Method”, The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Dresden University of Technology, Dresden , Germany, 5/2010. 6. The Fictitious Domain Method Based on Slip Boundary Condition for Simulation of Flow-Body Interactions ,The 10th East Asia SIAM Conference, 2014/6/23-2014/6/25. 7. Qiaolin He ,The Fictitious Domain Method for Incompressible Viscous Flow around Obstacles with Navier Slip Boundary Condition ,IAS Focused Program on Computational and Mathematical Problems in Materials Science, 2016/1/25-2016/1/29. 8. The 10th International Conference on Computational Physics (ICCP10) ,Macao SAR, China,16 Jan to 20 Jan, 2017. 9. The 3rd Annual Meeting of SIAM Central States Section, Colorado State University ,September 29 to October 1, 2017. 10. IAS Focused Program on Scientific ComputingHKUST Jockey Club Institute for Advanced Study,Hong Kong,China,4-8 December 2017.

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