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 Nachricheten, 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 beat365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 2023, accepted.
[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 Nachricheten, 2023, accepted.
[3] Yuxuan Chen, Yanan Li, Zhijian Yan*, 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, 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.
[6] Yitian Wang, Xiaoping Liu, Yuxuan Chen*, Semilinear pseudo-parabolic equations on manifolds with conical singularities, Electronic Research Archive, 29 (2021), no. 6, 3687–3720.
[7] 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.
[8] 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.
[9] 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.
[10] 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.
[11] 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