一、基本信息

狄华斐副教授

研究领域:发展方程的定性分析、无穷维动力系统及水波理论

办公地点:行政西后座222

电子邮箱:dihuafei@gzhu.edu.cn


二、个人简介

狄华斐,博士(后),副教授,硕士生导师。2015年10月至今在77779193永利官网任职。2018年10月-2020年6月在The University of Texas at Arlington博士后研究合作。近年来,以第一作者在国内外知名期刊上发表学术论文25余篇,其中SCI检索刊物22篇。目前主持、完成2项国家自然科学基金项目,主持1项广东省自然科学基金项目,1项广州市属高校科研基金项目,2项广州大学校级基金等科研项目。


三、教育和工作经历

2015/10-现在,广州大学,77779193永利官网,副教授

2018/10-2020/06,The University of Texas at Arlington,博士后

2015/09-2015/07,广州大学,77779193永利官网,博士


四、教授课程

主要讲授《数学分析》、《高等数学》,《概率论与数理统计》等课程。


五、科研服务

近年主持的研究项目:

1.国家自然科学青年基金,11801108,几类具有记忆项的变指数型非线性发展方程的定性研究,2019/01-2021/12, 主持,在研中。

2.国家数学天元青年基金,11626070,某些高阶非线性波动方程解的适定性,爆破和渐近行为,2017/01-2017/12,主持,已结题。

3.广东省自然科学基金,2016A030310262,几类高阶非线性波动方程解的适定性,爆破现象,以及整体解的长时间行为,2016/06-2019/06,主持,已结题。

4.广州市属高校科研基金,1201630180,几类变指数型高阶非线性波动方程的定性研究,2016/06-2018/06,主持,已结题。

社会兼职:

承担国家、省自然科学基金,国内外期刊《数学物理学报》、《应用数学学报》、《Applied Mathematics Letters》、《Discrete and Continuous Dynamical Systems-Series B》、《Applicable Analysis: An International Journal》、《Mathematische Nachrichten》、《Mathematical Methods in the Applied Sciences》、《Mediterranean Journal of Mathematics》、《Boundary Value Problems》、《European Journal of Pure and Applied Mathematics》等同行评审。


六、研究成果

近期发表的代表性期刊文章

[1] 狄华斐, 尚亚东, Global well-posedness for a nonlocal semilinear pseudo-parabolic equation with conical degeneration, Journal of Differential Equations, Journal of Differential Equations, 2020, 269 (5): 4566-4597.

[2] 狄华斐, 尚亚东,宋泽芳, Initial boundary value problem for a class of strongly damped semilinear wave equations with logarithmic nonlinearity, Nonlinear Analysis: Real World Applications, 2020, 51: 1-22. https://doi.org/10.1016/j.nonrwa.2019.102968

[3]狄华斐,尚亚东,于佳利, Existence and uniform decay estimates for the fourth order wave equation with nonlinear boundary damping and interior source, ELECTRONIC RESEARCH ARCHIVE, 2020, 28(1): 221-261.

[4] 狄华斐, 尚亚东, Blow-up phenomena for a class of generalized double dispersion equations, Acta Mathematica Scientia, 2019, 39(2): 567-579.

[5] 狄华斐, 尚亚东,Existence, nonexistence and decay estimate of global solutions for a viscoelastic wave equation with nonlinear boundary damping and internal source terms, EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2017,10(4);668-701.

[6] 狄华斐, 尚亚东,于佳利, Blow-up analysis of a nonlinear pseudo-parabolic equation with memory term, AIMS Mathematics, 2020, 5(4): 3408-3422.

[7] 狄华斐, 尚亚东, Blow-up phenomena for a class of metaparabolic equations with time dependent coefficient, AIMS Mathematics, 2017, 2(4): 647-657.

[8] 狄华斐,尚亚东, Blow-up phenomena for a pseudo-parabolic equation with variable exponents, Applied Mathematics Letters, 2017, 64: 67-73.

[9] 狄华斐,尚亚东, 郑筱筱, Global well-posedness for a fourth order pseudo-parabolic equation with memory and source terms, Discrete and Continuous Dynamical Systems-Series B, 2016, 21(3): 781-801.

[10] 狄华斐,尚亚东, 彭小明, Global existence and nonexistence of solutions for a viscoelastic wave equation with nonlinear boundary source term, Mathematische Nachrichten, 2016, 289(3): 1408-1432.

[11]狄华斐,尚亚东, Cauchy problem for a higher-order generalized Boussinesq type equation with hydrodynamical damped term, Applicable Analysis: An International Journal, 2016, 95(3): 690-714.

[12] 狄华斐,尚亚东, Global existence and nonexistence of solutions for the nonlinear pseudo-parabolic equation with a memory term, Mathematical Methods in the Applied Sciences, 2015, 38, 3923-3936.

[13] 郑筱筱,尚亚东,狄华斐, The time-periodic solutions to the Modified Zakharov equations with a quantum correction, MEDITERRANEAN JOURNAL OF MATHEMATIC, 2017, 14(4): 152.

[14] 狄华斐,尚亚东, Global existence and asymptotic behavior of solutions for the double dispersive-dissipative wave equation with nonlinear damping and source terms, Boundary Value Problems, (2015) 2015: 29, DOI :10.1186/s13661 - 015-0288-6.

[15] 狄华斐,尚亚东, Global existence and nonexistence of solutions for a fourth-order wave equation with nonlinear damping and source terms. Acta Math. Sci. Ser. A Chin. Ed. 2015,35(3): 618-633.