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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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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， betway官方app 数学与信息科学学院，讲师； 2013.10—2020.3， betway官方app 数学与信息科学学院，副教授(其间：2016.09—2017.09,国家公派访问学者，访问美国伊利诺伊理工大学应用数学系)； 2020.4-至今 ， betway官方app 数学与信息科学学院，教授
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偏微分方程，调和分析，随机偏微分方程，初值随机化 |
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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》 |
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2014年,荣获2012-2014年度betway官方app 优秀教师称号 2014年,荣获betway官方app2014年度校骨干教师称号 2016年,荣获betway官方app 优秀实习指导教师称号 2019年,荣获betway官方app2017-2018年度文明教师称号 2020年,荣获betway官方app 优秀共产党员
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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
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[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 Schrödinger 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 in R3.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. 6,1650019, 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.
