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付英 | |||
性 别: | 女 | 职 称: | 教授 |
籍 贯: | 现 居 地: | ||
毕业院校: | 西安交通大学 | 专 业: | |
查看更多个人信息 | |||
出生年月: | 1978-05-31 | 工作单位: | 西北大学数学学院 |
邮 箱: | fuying@nwu.edu.cn | 联系电话: | |
学 历: | 博士 |
【人物简介】
1、学习经历 1996.9---2000.7 西北大学数学系获理学学士学位 2002.9---2009.6 西安交通大学理学院获理学博士学位 2009.9---2013.3 西北大学基础数学博士后科研流动站 2、工作经历 2000.7---2006.4 西北大学数学系助教 2006.5---2010.4 西北大学数学系讲师 2010.5---2015.4 西北大学数学学院副教授、硕士生导师 2014.6---至今 西北大学数学学院博士生导师 2015.5---至今 西北大学数学学院教授
【研究方向】
几何、物理中的偏微分方程,非线性发展方程解的定性性质
【研究成果】
1.屈长征,张顺利,黄晴,康静,付英等,非线性偏微分方程的对称、不变量和几何可积性,获2010年度陕西省科学技术奖一等奖。 2.题为“Well-posedness and blow-up solution for a modified two-component periodic Camassa-Holm system with peakons”的论文获得陕西省数学会2011年青年优秀论文一等奖。
【科研项目】
1.国家自然科学基金重点项目子项目,非线性可积系统的几何结构和奇性分析(11631007),2017-2021,主持; 2 国家自然科学基金面上项目,具有不光滑孤子解非线性色散波方程的奇性解和全局解(11471259), 2015-2018, 主持; 3.国家自然科学基金青年项目,具有尖峰孤子解浅水波系统的整体解和爆破解(11001219), 2011-2013, 主持,已结题; 4.陕西省自然科学基础研究计划青年项目,具有尖峰孤子解的推广Camassa-Holm方程解的定性性质(2014JQ1002),2014.5-2016.4,已结题; 5.陕西省教育厅自然科学专项,一类浅水波系统解的性质研究(2010JK860),2010-2012,主持,已结题; 6.西北大学科研基金,一个新的Camassa-Holm系统解的性质研究(09NW23),2010-2012,主持,已结题。
【论文著作】
[1] Ying Fu *, Juanjuan Gao, On the support of solutions to the fifth-order Kadomtsev–Petviashvili II equation in three-dimensional space, Applicable Analysis,2017, DOI: 10.1080/00036811.2017.1392015. (SCI三区) [2] Ying Fu, Changzheng Qu*, Well-posedness and wave breaking of the degenerate Novikov equation, J. Differential Equations,2017, 263(8): 4634-4657. (SCI二区) [3] Haiquan Wang, Ying Fu*, Non-uniform dependence on initial data for the two-component Novikov system, Journal of Mathematical Physics, 2017, 58: 021502,22pp. (SCI四区) [4] Haiquan Wang, Ying Fu*, Non-uniform dependence on initial data for the modified \mu-Camassa-Holm equation, Journal of Differential Equations, 2016, 261(11):6099-6124. (SCI二区) [5] Ying Fu, A note on the Cauchy problem of a modified Camassa-Holm equation with cubic nonlinearity, Discrete Continuous Dynam. Systems, 2015, 35(5): 2011-2039. (SCI三区) [6] Changzheng Qu, Ying Fu, Yue Liu, Blow-up solutions and peakons to a generalized $\mu$-Camassa-Holm integrable equation, Comm. Math. Phys., 2014,331 (1):375-416. (SCI三区) [7] Changzheng Qu, Ying Fu, Yue Liu, Well-posedness, wave breaking and peakons for a modified $\mu$-Camassa-Holm equation, Journal of Functional Analysis, 2014,266(2): 433-477. (SCI二区) [8] Ying Fu, Guilong Gui, Yue Liu, On the Cauchy problem for the integrable modified Camassa-Holm equation with cubic nonlinearity, J. Differential Equations, 2013, 255:1905-1938. (SCI二区) [9] Ying Fu, Yue Liu, Changzheng Qu. On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations, Journal of Functional Analysis, 2012, 262: 3125-3158. (SCI二区) [10] Ying Fu, Changzheng Qu, Unique continuation and persistence properties of solutions of the 2-component Degasperis-procesi equations, Acta Math. Sci. Ser. B Engl. Ed., 2012, 32: 652-662. (SCI四区) [11] Ying Fu, Yue Liu, Changzheng Qu , Well-posedness and blow-up solution for a modified two-component periodic Camassa-Holm system with peakons, Math. Ann., 2010, 348(2): 415-448. (SCI二区) [12] Ying Fu, Changzheng Qu, Yichen Ma, Well-posedness and blow-up phenomena for the interacting system of the Camassa-Holm and Degasperis-Procesi equations, Discrete Continuous Dynam. Systems, 2010, 27(3): 1025-1035. (SCI二区) [13] Changzheng Qu,Ying Fu, On a new three-component Camassa-Holm equation with peakons, Commun. Theor. Phys., 2010, 53(2):223-230. (SCI四区) [14] Ying Fu, Changzheng Qu . Well posedness and blow-up solution for a new coupled Camassa-Holm equations with peakons, Journal of Mathematical Physics, 2009, 50: 012906, 25pp. (SCI四区) [15] Ying Fu, Changzheng Qu. Unique continuation property for the Generalized Davey-Stewartson System in Rn, 数学进展, 2013, 42(1): 95-105. [16] Ying Fu, Changzheng Qu, Yichen Ma. On the unique continuation property for a coupled Schrödinger-KdV equation,数学进展,2010, 39(2): 169-178. [17] 赵彩霞, 付英, Analytic solutions of the Cauchy problem for the DGH equation, 工程数学学报,2014,31(6): 943-948. [18] 付英,赵彩霞,Novikov 方程 Cauchy 问题解的解析性,西北大学学报(自然科学版),2014,44(2): 173-176. [19] Ying Fu, Yichen Ma. Persistence and Unique Continuation Properties of Solutions of the DGH Equation,工程数学学报. 2009, 26(3): 416-422. [20] 付英, 马逸尘,屈长征. 一个非线性色散波方程的惟一连续性, 数学物理学报, 2009,29A(6): 1523-1536. [21] 付英,渗滤分离过程的数值模拟,西北大学学报(自然科学版),2002,32(2),123-126. [22] 窦霁虹, 付英,渗滤系统及其数学模拟,高校应用数学学报A辑(中文版),2002,17(1),113-120. [23] 赵彩霞, 付英, Analyticity and Persistence Properties of Solutions to the Fornberg-Whitham Equation, 工程数学学报,2015,32(5): 783-790. [24] 高晓红,郑晓翠,Unique continuation property for a class of fifth-order Korteweg-de-Vries Equations,工程数学学报,2016,33(5): 541-550. [25] 郑晓翠,高晓红,两分支Camassa-Holm系统Cauchy问题解的解析性,西北大学学报(自然科学版),2016,46(2),162-166.