闫威教授 博士生导师
电子邮件： 011133@htu.edu.cn
通信地址： 数学与信息科学学院
邮 编： 453007
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? 个人简历
教育经历：
2002—2006 毕业于南阳师范学院，获得理学学士学位；
2006—2011 硕博连读于华南理工大学，获得理学博士学位。
工作经历：
2011.7— 2013.9， 河南师范大学数学与信息科学学院，讲师；
2013.10—2020.3， 河南师范大学数学与信息科学学院，副教授(其间：2016.09—2017.09, 国家公派访问****，访问美国伊利诺伊理工大学应用数学系)；
2020.4- 至今 ， 河南师范大学数学与信息科学学院，教授
? 研究领域
偏微分方程，调和分析，随机偏微分方程，初值随机化
? 教学工作
主讲本科生课程：《线性代数 》、《高等数学》、《专业英语》、《数学物理方法》、《数学物理方程》、《常微分方程》
主讲研究生课程：《偏微分方程》、《调和分析》
? 奖励与荣誉
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2014年, 荣获2012-2014年度河南师范大学优秀教师称号
2014年, 荣获河南师范大学2014年度校骨干教师称号
2016年, 荣获河南师范大学优秀实习指导教师称号
2019年, 荣获河南师范大学2017-2018年度文明教师称号
2020年, 荣获河南师范大学优秀共产党员
? 科研项目
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1.国家自然科学基金, Camassa-Holm型方程解的整体存在性和爆破性研究，2013.01-2013.12，主持
2.国家自然科学基金， 水波中某些非线性色散方程的适定性研究，2015.01-2017.12， 主持
3.国家自然科学基金， KP型方程和Ostrovsky型方程低正则性解的研究，2018.01-2021.12，主持
4.国家留学基金委项目, 色散波方程的初值随机化， 2016.09-2017.09，主持.
5.河南省骨干教师项目, 高阶薛定谔方程的柯西问题的研究,2018.1-2020.12,主持
? 论文著作
[1] Yan, Wei;Zhang, Qiaoqiao;Zhang, Haixia;Zhao, LuThe Cauchy problem for the rotation-modified Kadomtsev-Petviashvili type equation.J. Math. Anal. Appl.489?(2020),?no. 2,124198, 37 pp.
[2] Yan, Wei;Li, Yongsheng;Huang, Jianhua;Duan, JinqiaoThe Cauchy problem for a two-dimensional generalized Kadomtsev-Petviashvili-I equation in anisotropic Sobolev spaces.Anal. Appl. (Singap.)18?(2020),?no. 3,469-522.
[3] Yan, Wei;Yang, Meihua;Duan, JinqiaoWhite noise driven Ostrovsky equation.J. Differential Equations267?(2019),?no. 10,5701-5735.
[4] Yan, Wei;Li, Yongsheng;Zhai, Xiaoping;Zhang, YiminThe Cauchy problem for higher-order modified Camassa-Holm equations on the circle.Nonlinear Anal.187?(2019),?397–433.
[5] Yan, Wei;Zhang, Qiaoqiao;Zhao, Lu;Zhang, HaixiaThe local well-posedness and the weak rotation limit for the cubic Ostrovsky equation.Appl. Math. Lett.96?(2019),?147-152.
[6] Fan, Lili;Yan, WeiThe Cauchy problem for shallow water waves of large amplitude in Besov space.J. Differential Equations267?(2019),?no. 3,1705-1730.
[7]Fan, Lili;Yan, WeiOn the weak solutions and persistence properties for the variable depth KDV general equations.Nonlinear Anal. Real World Appl.44?(2018),?223-245.
[8] Yan, Wei;Li, Yongsheng;Huang, Jianhua;Duan, JinqiaoThe Cauchy problem for the Ostrovsky equation with positive dispersion.NoDEA Nonlinear Differential Equations Appl.25(2018),?no. 3,Paper No. 22, 37 pp.
[9] Zhai, Xiaoping;Li, Yongsheng;Yan, WeiGlobal well-posedness for the 3D viscous nonhomogeneous incompressible magnetohydrodynamic equations.Anal. Appl. (Singap.)16(2018),?no. 3,363-405.
[10] Wang, JunFang;Yan, WeiThe Cauchy problem for quadratic and cubic Ostrovsky equation with negative dispersion.Nonlinear Anal. Real World Appl.43?(2018),?283–307.
[11] Ren, Yuanyuan;Li, Yongsheng;Yan, WeiSharp well-posedness of the Cauchy problem for the fourth order nonlinear Schr?dinger equation.Commun. Pure Appl. Anal.17(2018),?no. 2,487-504.
[12] Jiang, Minjie;Yan, Wei;Zhang, YiminSharp well-posedness of the Cauchy problem for the higher-order dispersive equation.Acta Math. Sci. Ser. B (Engl. Ed.)37?(2017),?no. 4,1061-1082.
[13] Zhai, Xiaoping;Li, Yongsheng;Yan, WeiGlobal solution to the 3-D density-dependent incompressible flow of liquid crystals.Nonlinear Anal.156?(2017),?249-274.
[14] Yan, Wei;Li, Yongsheng;Zhai, Xiaoping;Zhang, YiminThe Cauchy problem for the shallow water type equations in low regularity spaces on the circle.Adv. Differential Equations22?(2017),?no. 5-6,363-402.
[15]Ma, Haitao;Zhai, Xiaoping;Yan, Wei;Li, YongshengGlobal strong solution to the 3D incompressible magnetohydrodynamic system in the scaling invariant Besov-Sobolev-type spaces.Z. Angew. Math. Phys.68?(2017),?no. 1,Paper No. 14, 37 pp.
[16]Li, Shiming;Li, Yongsheng;Yan, WeiA global existence and blow-up threshold for Davey-Stewartson equations inR3.Discrete Contin. Dyn. Syst. Ser. S9?(2016),?no. 6,1899-1912.
[17]Lin, Lin;Lv, Guangying;Yan, WeiWell-posedness and limit behaviors for a stochastic higher order modified Camassa-Holm equation.Stoch. Dyn.16?(2016),?no. 6,**, 19 pp.
[18]Zhai, Xiaoping;Li, Yongsheng;Yan, WeiWell-posedness for the three dimension magnetohydrodynamic system in the anisotropic Besov spaces.Acta Appl. Math.143(2016),?1-13.
[19]Zhai, Xiaoping;Li, Yongsheng;Yan, WeiGlobal solutions to the Navier-Stokes-Landau-Lifshitz system.Math. Nachr.289?(2016),?no. 2-3,377-388.
[20]Li, Shiming;Yan, Wei;Li, Yongsheng;Huang, JianhuaThe Cauchy problem for a higher order shallow water type equation on the circle.J. Differential Equations259?(2015),?no. 9,4863-4896.
[21]Zhai, Xiaoping;Li, Yongsheng;Yan, WeiGlobal well-posedness for the 3-D incompressible inhomogeneous MHD system in the critical Besov spaces.J. Math. Anal. Appl.432(2015),?no. 1,179-195.
[22]Zhai, Xiaoping;Li, Yongsheng;Yan, WeiGlobal well-posedness for the 3-D incompressible MHD equations in the critical Besov spaces.Commun. Pure Appl. Anal.14?(2015),?no. 5,1865–1884.
[23]Chen, Defu;Li, Yongsheng;Yan, WeiOn well-posedness of two-component Camassa-Holm system in the critical Besov space.Nonlinear Anal.120?(2015),?285-298.
[24]Li, Yongsheng;Huang, Jianhua;Yan, WeiThe Cauchy problem for the Ostrovsky equation with negative dispersion at the critical regularity.J. Differential Equations259(2015),?no. 4,1379-1408.
[25]Zhao, Yongye;Li, Yongsheng;Yan, WeiThe global weak solutions to the Cauchy problem of the generalized Novikov equation.Appl. Anal.94?(2015),?no. 7,1334-1354.
[26]Yan, Wei;Li, YongshengThe Cauchy problem for the modified two-component Camassa-Holm system in critical Besov space.Ann. Inst. H. Poincaré Anal. Non Linéaire32?(2015),?no. 2,443-469.
[27]Chen, Defu;Li, Yongsheng;Yan, WeiOn the Cauchy problem for a generalized Camassa-Holm equation.Discrete Contin. Dyn. Syst.35?(2015),?no. 3,871-889.
[28]Yan, Wei;Li, Yongsheng;Zhang, YiminThe Cauchy problem for the generalized Camassa-Holm equation.Appl. Anal.93?(2014),?no. 7,1358–1381.
[29] Yan, Wei;Li, Yongsheng;Zhang, YiminThe Cauchy problem for the generalized Camassa-Holm equation in Besov space.J. Differential Equations256?(2014),?no. 8,2876-2901.
[30]Zhao, Yongye;Li, Yongsheng;Yan, WeiLocal well-posedness and persistence property for the generalized Novikov equation.Discrete Contin. Dyn. Syst.34?(2014),no. 2,803-820.
[31]Yan, Wei;Li, Yongsheng;Zhang, YiminThe Cauchy problem for the Novikov equation.NoDEA Nonlinear Differential Equations Appl.20?(2013),?no. 3,1157-1169.
[32]Yan, Wei;Li, Yongsheng;Li, ShimingSharp well-posedness and ill-posedness of a higher-order modified Camassa-Holm equation.Differential Integral Equations25(2012),?no. 11-12,1053–1074.
[33]Yan, Wei;Li, YongshengIll-posedness of modified Kawahara equation and Kaup-Kupershmidt equation.Acta Math. Sci. Ser. B (Engl. Ed.)32?(2012),?no. 2,710–716.
[34] Yan, Wei;Li, Yongsheng;Zhang, YiminThe Cauchy problem for the integrable Novikov equation.J. Differential Equations253?(2012),?no. 1,298-318.
[35]Yan, Wei;Li, Yongsheng;Zhang, YiminGlobal existence and blow-up phenomena for the weakly dissipative Novikov equation.Nonlinear Anal.75?(2012),?no. 4,2464-2473.
[36]Yan, Wei;Li, Yongsheng;Yang, XingyuThe Cauchy problem for the modified Kawahara equation in Sobolev spaces with low regularity.Math. Comput. Modelling54?(2011),?no. 5-6,1252-1261.
[37] Yan, Wei;Li, YongshengIll-posedness of Kawahara equation and Kaup-Kupershmidt equation.J. Math. Anal. Appl.380?(2011),?no. 2,486-492.
[38]Yan, Wei;Li, YongshengThe Cauchy problem for Kawahara equation in Sobolev spaces with low regularity.Math. Methods Appl. Sci.33?(2010),?no. 14,1647-1660.
[39]Li, Yongsheng;Yan, Wei;Yang, XingyuWell-posedness of a higher order modified Camassa-Holm equation in spaces of low regularity.J. Evol. Equ.10?(2010),?no. 2,465-486.
