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郑州大学数学与统计学院导师教师师资介绍简介-陈国旺教授

本站小编 Free考研考试/2020-10-23



陈国旺 , 1957 年毕业于北京大学数学力学系,同年来郑州大学数学系任教至今,在此期间于 1960 年 2 月被选派为国家公派出国留学人员赴北京外国语学院学俄语,同年 10 月赴捷克斯洛伐克查理士大学数学研究所攻读副博士学位,于 1964 年 10 月在该校获副博士学位并学成回国。多年来一直从事应用数学和非线性偏微分方程的教学和科研工作。先后任讲师、副教授、教授和博士生导师。自 1978 年起主持一个非线性偏微分方程讨论班至今。参与了《偏微分方程》创办, 1988 年正式创刊出版。 1988 年至 2010 年 2 月曾任副主编之一并负责编辑部日常工作。该杂志对我国偏微分方程的发展及与国外的学术交流起到了积极作用。
陈国旺 ,1989 年被评为河南省优秀教师, 1992 年开始享受政府特殊津贴, 1993 年被命名为河南省优秀专家, 1997 年被评为河南省优秀科技期刊出版工作者。
获奖情况
1.合作完成的《升板建筑设计与施工技术——预应力锥形柱帽》获1978年全国科学大会奖。
2.合作完成的《预应力锥形柱帽升板结构》获1978年河南省重大科学技术成果奖。
3.陈国旺、邢家省、杨志坚,Cauchy problem for generalized IMBq equation with several variables 论文获1999年河南省优秀论文壹等奖。
4.陈国旺、张宏伟,Initial boundary value problem for a system of generalized IMBq equations 论文获2006年河南省自然科学优秀学术论文壹等奖。
5.陈国旺,邢家省,杨志坚, Cauchy problem for generalized IMBq equation with several variables, Nonlinear Analysis, Theory, Methods and Applications, 1996,26(1),1255-1270 论文获1999 年河南省优秀论文壹等奖。
6.王书彬,陈国旺,Small amplitude solutions of the generalized IMBq equation, Journal of Mathematical Analysis and Applications, 2002, 274,846-866 论文获2006 年河南第九届自然科学优秀学术论文壹等奖。
7.陈国旺,王书彬,Existence and Nonexistence of Global Solutions for the Generalized IMBq Equation,Nonlinear Analysis, TMA. 1999, 36, 961-980论文获2001 年河南第七届自然科学优秀学术论文壹等奖。
8 陈国旺,薛红霞, Global existence of solution of Cauchy problem for nonlinear pseudo-parabolic equation, Journal of Differential Equations 2008 , 245,2705 – 2722 论文获 2010 年河南第十届自然科学优秀学术论文壹等奖。

主要论文
[1] 陈国旺,王书彬,Existence and Non-Existence of Global Solutions for Nonliner Hyperbolic Equations of Higher Order, Comment. Math. Univ. Carolinae, 1995, 36(3), 475-487.

[2] 杨志坚,陈国旺,一类广义Boussinesq方程解的Blow-up, 数学物理学报,1996, 16(1), 31-39.
[3] 陈国旺,邢家省,杨志坚,Cauchy Problem for Generalized IMBq Equation with Several Variables, Nonlinear Analysis, Theory, Methods & Applications, 1996, 26(7), 1255-1270.
[4] 陈国旺、王书彬,Existence and Nonexistence of Global Solutions for the Generalized IMBq Equation, Nonlinear Analysis TMA, 1999, 36(8), 961-980.
[5] 陈国旺,人口问题中的三维Ginzburg-Landau模型方程的Cauchy问题,数学年刊,1999, 20A(2),45-54.
[6] 陈国旺,杨志坚,Existence and Non-existence of Global Solutions for a class of Nonlinear Wave Equations, Mathematical Methods in the Applied Sciences, 2000, 23, 615-631.
[7] 杨志坚,陈国旺,Boussinesq 型方程的周期边界问题与初值问题解的存在性,应用数学学报,2000, 23(2),261-269.
[8] 陈国旺,吕胜关,人口问题中广义三维Ginzburg-Landau 模型方程的初边值问题,2000, 23(4),507-517.
[9] 陈国旺,王书彬,张宏伟,n维广义IMBq方程的初边值问题,数学年刊,2001, 22A:4,453-460.
[10] 王书彬,陈国旺,The Cauchy problem for the generalized IMBq equation in , Journal of Mathematical Analysis and Applications, 2002, 266, 38-54.
[11] 王书彬,陈国旺, Small amplitude solutions of the generalized IMBq equation, Journal of Mathematical Analysis and Applications, 2002, 274, 846-866.
[12] 陈国旺,Initial boundary value problem for a damped nonlinear hyperbolic equation, Journal of Partial Differential Equations, 2003, 16(1), 49-61.
[13]张宏伟,陈国旺, 一类非线性四阶波动方程的位势井方法,数学物理学报,2003,23(6),758-768.
[14]杨志坚,陈国旺, Global existence of solutions for quasi-linear wave equations with viscous damping, J. Math. Anal. Appl., 2003, 285, 604-618.
[15] 陈国旺,张宏伟, Initial boundary value problem for a system of generalized IMBq equations, 已被Mathematical Methods in the Applied Sciences 2004,27,497-518.
[16]张宏伟,陈国旺, Asymptotic stability for a nonlinear evolution equation, Commentations Mathematicae Universitatis Carolinae, 2004, 45(1), 101-107.
[17]陈国旺,王艳萍,赵占才,Blow-up of solution of an initial boundary value problem for a damped nonlinear hyperbolic equation, Applied Mathematics Letters, 2004, 17, 491-497.
[18]陈国旺,王艳萍,王书彬, Initial boundary value problem of the generalized cubic double dispersion equation, Journal of Mathematical Analysis and Applications, 2004, 299, 563-577.
[19]王书彬,陈国旺, Cauchy problem of the generalized double dispersion equation, Nonlinear Analysis TMA, 2006, 64, 159-173.
[20] 王书彬,陈国旺, Cauchy problem for the nonlinear Schr?dinger-IMBq equations, Discrete and Continuous Dynamical Systems-series B, 2006, 6(1), 203-214.
[21]王艳萍,陈国旺,人口问题中一广义Ginzburg-Landau 模型方程的时间周期解,数学物理学报,2006,26A(2),258-266.
[22] 王书彬,徐桂香,陈国旺,Cauchy problem for the generalized Benney-Luke equation, Journal for Mathematical Physics, 2007, 48, 073521.
[23] 陈国旺,岳红云,王书彬,The initial boundary value problem for quasi-linear wave equation with viscous damping, J. Math. Anal. Appl., 2007, 33, 823-839.
[24] 王艳萍,陈国旺,一类高阶非线性波动方程的时间周期问题,应用数学学报,2007, 30(2), 289-296.
[25] 韩献军,陈国旺,一类非线性高阶波动方程的初边值问题,数学物理学报, 2007, 27(4), 624-640.
[26] 陈国旺,王艳萍,A note on “On the existence of solutions of quasilinear wave equations with viscosity”, Nonlinear Analysis TMA, 2008, 68(3), 609-620.
[27] 陈翔英,陈国旺, Asymptotic behavior and blow-up of solutions to a nonlinear evolution equation of fourth order, Nonlinear Analysis TMA, 2008, 68(4), 892-904.
[28] 陈国旺,薛红霞,Global existence of solution of Cauchy problem for nonlinear pseudo-parabolic equation, Journal of Differential Equations, 2008, 245, 2705-2722.
[29] 陈国旺,薛红霞,Periodic boundary value problem and Cauchy problem of the generalized cubic double dispersion equation, Acta Mathematica Scientia, 2008, 28(3), 573-587.
[30] 陈国旺,达芳,Blow-up of solution of Cauchy problem for three-dimensional damped nonlinear hyperbolic equation, Nonlinear Analysis TMA, 2009, 71(1-2), 358-372.
[31] 陈国旺,陆博,The initial-boundary value problems for a class of nonlinear wave equations with damping term, Journal of Mathematical Analysis and Applications, 2009, 351, 1-15.
[32] 陈国旺,郭红霞,张宏伟, Global existence of solutions of Cauchy problem for generalized system of nonlinear evolution equations arising from DNA Journal of Mathematical Physics, 2009, 50, 083514-23.
[33] 陈国旺 侯长顺, Initial value problem for a class of fourth-order nonlinear wave equations. Applied Mathematics and Mechanics, 2009, 30(3), 391-401.
[34] 陈国旺,宋瑞丽,王书彬, Local existence and global nonexistence theorems for a damped nonlinear hyperbolic equation, Journal of Mathematical Analysis and Applications,2010,368,19-31.
[35] 陈国旺,芮伟芳,陈翔英, Cauchy problem for a damped generalized IMBq equation, Journal of Mathematical Physics, 2011,52,053504-19.
[36] 陈国旺,韩献军, Global existence of solution of Cauchy problem for a non-linear wave equation, IMA Journal of Applied Mathematics,2012,1-17.
[37] 陈国旺,一类 N 维非线性波动方程的 Cauchy 问题,数学学报, 2012 , 55 ( 5 ), 797-810.
[38] 郭红霞,陈国旺, A note on “The Cauchy problem for coupled IMBq equations”, Acta Mathematica Scientia, 2013,33B(2), 375-392.
[39] 耿世锋,陈国旺, Global existence of solutions of Cauchy problem for generalized BBM-Burgers equation, Acta Mathematica Scientia, 2013,33B(4),1007-1023.
[40] 陈国旺,陈国旺论文集,世界图书出版公司,2005.

专著
陈国旺,索伯列夫空间导论,科学出版,2013

科研项目
陈国旺主持的国家自然科学基金资助项目:
1. 国家自然科学基金资助项目《非线性高阶发展方程及其应用》1994.1—1996.12已完成。
2. 国家自然科学基金资助项目《非线性高阶发展方程(组)理论和应用研究》1997.1—1999.12已完成。
3.国家自然科学基金资助项目《非线性高阶发展方程中的若干问题》2001.1—2003.12已完成。
4. 国家自然科学基金资助项目《非线性高阶发展方程研究》2004.1—2006.12已完成。
5.国家自然科学基金资助项目《非线性高阶发展方程》2007.1—2009.12. 已完成。




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