王智勇

发布者:韩伟发布时间:2017-12-04浏览次数:4876

王智勇(wangzhiyong236@163.com

 

个人简介

男,河北省石家庄市人,博士,副教授,硕士研究生导师

 

教育经历

20017—20057月,吉林大学数学学院,数学与应用数学专业, 获学士学位

20059—20077月,吉林大学数学学院,基础数学专业,获硕士学位

20089—201212月,吉林大学数学学院,应用数学专业, 获博士学位

 

工作经历

20133— 20151月,华南师范大学数学科学学院,博士后;

20153至今,福建师范大学

 

学术交流

20188— 20197佐治亚理工学院,访问学者

 

研究方向

非线性扩散方程量子物理中的偏微分方程


科研项目

1. 非线性扩散方程解的爆破速率,福建省自然科学基金面上项目(编号:2021J01659)2021-2024,项目负责人

2. 流形上非线性扩散方程的奇异性问题,福建省自然科学基金青年创新项目(编号: 2017J05002)2017-2020,项目负责人

3. 双曲空间上多孔介质方程解的长时间行为,国家自然科学基金青年科学基金(编号: 11601082)2017-2019,项目负责人

4. 双曲流形上非线性扩散方程的若干定性问题,国家自然科学基金天元基金(编号: 11526052)2016,项目负责人

5. 双曲流形上非线性扩散方程的若干定性问题,福建省教育厅A类项目(编号: JA15110)2016-2018,项目负责人

 

课程教学

本科生:高等数学

研究生:偏微分方程

 

论文著作

1. Wang, Zhiyong; Yin, Jingxue. Note on blow-up of solutions for a porous medium equation with convection and boundary flux. Colloq. Math. 128 (2012), no. 2, 223–228.

2. Wang, Zhiyong; Yin, Jingxue. A note on semilinear heat equation in hyperbolic space. J. Differential Equations 256 (2014), no. 3, 1151–1156.

3. Gao, Yanfang; Wang, Zhiyong. Scattering versus blow-up for the focusing L^2 supercritical Hartree equation. Z. Angew. Math. Phys. 65 (2014), no. 1, 179–202.

4. Wang, Zhiyong. Uniqueness of radial solutions of semilinear elliptic equations on hyperbolic space. Nonlinear Anal. 104 (2014), 109–119.

5. Gao, Yanfang; Wang, Zhiyong. Concentration of blow-up solutions for the coupled Schr?dinger equations in R^2. J. Math. Anal. Appl. 429 (2015), no. 1, 591–601.

6. Wang, Zhiyong; Yin, Jingxue. Asymptotic behaviour of the lifespan of solutions for a semilinear heat equation in hyperbolic space. Proc. Roy. Soc. Edinburgh Sect. A 146 (2016), no. 5, 1091–1114.

7. Gao, Yanfang; Wang, Zhiyong. Minimal mass non-scattering solutions of the focusing L^2-critical Hartree equations with radial data. Discrete Contin. Dyn. Syst. 37 (2017), no. 4, 1979–2007.

8. Gao, Yanfang; Wang, Zhiyong. Concentration for blow-up solutions of semi-relativistic Hartree equations of critical type. Appl. Math. Lett. 83 (2018), 59–64.

9. Wang, Zhiyong; Yin, Jingxue Gradient blow-up solution with small initial datum for a Hamilton-Jacobi equation with degenerate diffusion. J. Math. Anal. Appl. 472 (2019), no. 2, 1914–1926.

10. Cao, Yang; Wang, Zhiyong; Yin, Jingxue A note on the life span of semilinear pseudo-parabolic equation. Appl. Math. Lett. 98 (2019), 406–410.

11. Cao, Yang; Wang, Zhiyong; Yin, Jingxue A semilinear pseudo-parabolic equation with initial data non-rarefied at ∞. J. Funct. Anal. 277 (2019), no. 10, 3737–3756.

12. Gao, Yanfang; Wang, Zhiyong Blow-up for trapped dipolar quantum gases with large energy. J. Math. Phys. 60 (2019), no. 12, 121501, 10 pp.

13. Gao, Yanfang; Wang, Zhiyong Below and beyond the mass-energy threshold: scattering for the Hartree equation with radial data in d≥5. Z. Angew. Math. Phys. 71 (2020), no. 2, Paper No. 52, 23 pp.

14. Gao, Yan Fang ;  Wang, Zhi Yong . Scattering versus blowup beyond the mass-energy threshold for the Davey-Stewartson equation in R3.  Acta Math. Sin. (Engl. Ser.)  37  (2021),  no. 9, 1415--1436.

15. Wang, Zhiyong ;  Yin, Jingxue ;  You, Liting . Life span of solutions for a semilinear heat equation with inhomogeneous source.  J. Differential Equations  350  (2023), 189--201.

16. Lin, Shan ;  Wang, Zhiyong . Existence of type-I blow-up solutions for the time-weighted parabolic Lane-Emden system.  J. Math. Anal. Appl.  524  (2023),  no. 1, Paper No. 127069, 17 pp.  

 

指导硕士研究生

林珊(2020级)李雅玲(2021级)