陈玉萱,男,汉族,中共党员, 2021年毕业于哈尔滨工程大学,博士学位,目前从事非线性偏微分方程解的定性分析研究,主要包括解关于初值的依赖问题,整体解的长时间动力学行为,区域奇性对解正则性的影响等方面,参与国家自然科学基金面上项目1项,数学天元基金3项,黑龙江省自然科学基金项目1项, 在Communications in Mathematical Sciences, Advances in Nonlinear Analysis, Applied Mathematics Letters, Mathematische Nachrichten, Nonlinear Analysis-Theory Methods & Applications, Electronic Journal of Differential Equations等数学领域期刊发表学术论文10余篇。————————————————————————————————————————————
一、教育经历
2010.09-2014.07 哈尔滨师范大学数学与应用数学专业,理学学士;
2015.09-2021.12 哈尔滨工程大学控制科学与工程专业,工学博士,导师:徐润章教授;————————————————————————————————————————————
二、工作经历
2022.01-至今 澳门新葡萄官方网站澳门新葡萄官方网站,副教授;————————————————————————————————————————————
三、研究方向
非线性偏微分方程;————————————————————————————————————————————
四、科研项目
l 奇异流形上的非线性偏微分方程的定性性质研究,国家自然科学基金面上项目,项目号11871017,2019.01-2022.12,53万,参与;
l 时间依赖相空间中两类波动方程的吸引子稳定性研究,黑龙江省自然科学基金联合引导项目,项目号LHA2021A001, 2021.07-2024.07, 10万,参与;
l 非光滑流形上两类波动方程解的动力学行为研究,黑龙江省省属高等学校基本科研业务费基础研究项目,项目号2022-KYYWF-1112,2023.01-2024.12,2万,主持;————————————————————————————————————————————
五、学术论文
[1] Yuxuan Chen*. Global well-posedness for the semilinear edge-degenerate parabolic equations on singular manifolds. Advances in Nonlinear Analysis, 12(2023), no.1, 20230117.
[2] Yuxuan Chen, Yanan Li*. A sufficient condition for global existence of the solution to nonlinear damped wave equations at arbitrary positive initial energy. Mathematische Nachrichten, 296(2023), no.12, 5703-5709.
[3] Yuxuan Chen, Yanan Li, Zhijian Yang*. Stability of strong exponential attractors for the Kirchhoff wave model with structural nonlinear damping. Applied Mathematics Letters, 144 (2023), 108716.
[4] Yuxuan Chen, Vicenţiu D. Rădulescu, Runzhang Xu*. High energy blowup and blowup time for a class of semilinear parabolic equations with singular potential on manifolds with conical singularities. Communications in Mathematical Sciences, 21(2023), no. 1, 25-63.
[5] Yuxuan Chen*. Global dynamical behavior of solutions for finite degenerate fourth-order parabolic equations with mean curvature nonlinearity. Communications in Analysis and Mechanics, 15(2023), no.4, 658-694.
[6] Yuxuan Chen, Jiangbo Han*. Global existence and nonexistence for a class of finitely degenerate coupled parabolic systems with high initial energy level. Discrete and Continuous Dynamical Systems-Series S, 14(2021), no. 12, 4179-4200.
[7] Yitian Wang, Xiaoping Liu, Yuxuan Chen*. Semilinear pseudo-parabolic equations on manifolds with conical singularities. Electronic Research Archive, 29(2021), no. 6, 3687-3720.
[8] Yuxuan Chen, Runzhang Xu*. Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity. Nonlinear Analysis-Theory Methods & Applications, 192(2020), 111664.
[9] Yuxuan Chen, Xiaotong Qiu, Runzhang Xu*, Yanbing Yang. Global existence and blow up of solutions for a class of nonlinear wave equation with linear pseudo-differential operator. European Physical Journal Plus, 135(2020), 573.
[10] Tianlong Chen, Yuxuan Chen*. On family of potential wells and applications to semilinear hyperbolic equations and parabolic equations. Nonlinear Analysis-Theory Methods & Applications, 198(2020), 111898.
[11] Xingchang Wang, Yuxuan Chen, Yanbing Yang, Jiaheng Li, Runzhang Xu*. Kirchhoff-type system with linear weak damping and logarithmic nonlinearities. Nonlinear Analysis-Theory Methods & Applications, 188(2019), 475-499.
[12] Runzhang Xu*, Yuxuan Chen, Yanbing Yang, Shaohua Chen, Jihong Shen, Tao Yu, Zhengsheng Xu. Global well-posedness of semilinear hyperbolic equations, parabolic equations and Schrodinger equations. Electronic Journal of Differential Equations, 55(2018), 1-52.————————————————————————————————————————————
Researchgate :
Yuxuan CHEN | Professor (Associate) | PhD | Heilongjiang University, Harbin | School of Mathematical Sciences | Research profile (researchgate.net)
E-mail: cheny_x@163.com; chenyuxuan@hlj.edu.cn