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王保祥
发布时间:2022-05-26      点击次数:

 

 

 

 

 

 

姓名王保祥

 

职务:硕士生导师 博士生导师

 

职称:教授

 

电子邮箱wbx@jmu.edu.cn

 

所属教研室数学与应用数学

 

 

 

 

个人简介

1983.8--1987.6,河北大学数学系,学士

1987.9--1990.6,哈尔滨理工大学,硕士(导师王廷辅教授)

1990.9--1993.12,北京应用物理与计算数学研究所,博士(导师郭柏灵院士,孙和生教授)

1994.7--1995.7,河北大学数学系,讲师

1995.8--1997.7,河北大学数学系,副教授

1997.8--2002.7,河北大学数学系,教授

2001.8--2002,7,郑州大学数学学院,兼职博士生导师

2002.8--2022.3,北京大学数学学院,教授,博士生导师

2022.5--,澳门8858cc永利集团,特聘教授

 

 

科研(教学)项目、成果及专利等

1. 国家自然科学基金项目(面上,批准号 12171007) 模空间的伸缩极限及其应用,起止年月:2022.01—2025.12,直接经费 50 万元,主持人

2. 国家自然科学基金项目(面上,批准号11771024) , 非线性发展方程的频率一致分解方法, 起止年: 2018.01--2021-12 , 直接经费 48万元, 主持人

 

 

发表论文及著作等情况

王保祥教授开创了非线性发展方程的频率一致分解方法,被国际同行公开发表的论著评价为一系列深刻和开创性的研究。彻底解决了Navier-Stokes方程在端点临界Besov空间的不适定性这一多年的难题,被多位国际同行认为是卓越的(remarkable)和出乎意料的(unexpected)工作。发表的主要论著有:

1. Wang, Baoxiang; Huo, Zhaohui; Hao, Chengchun; Guo, Zihua Harmonic analysis method for nonlinear evolution equations. I. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2011. xiv+283 pp.

2. M. Sugimoto, Baoxiang Wang, Scaling limit of modulation spaces and their applications. Appl. Comput. Harmon. Anal. 53 (2021), 54–94. 42B35  

3. H. G. Feichtinger, K. Gröchenig, Kuijie Li, Baoxiang Wang, Navier-Stokes equation in super-critical spaces Esp,q. Ann. Inst. H. Poincaré Anal. Non Linéaire 38 (2021), no. 1, 139–173.  

4. Mingjuan Chen, Baoxiang Wang, Shuxia Wang, M. W. Wong, On dissipative nonlinear evolutional pseudo-differential equations. Appl. Comput. Harmon. Anal. 48 (2020), no. 1, 182–217.  

5. Kuijie Li, Baoxiang Wang, Blowup criterion for Navier-Stokes equation in critical Besov space with spatial dimensions d≥4. Ann. Inst. H. Poincaré A.N. 36 (2019), no. 6, 1679–1707.

6.  Ruzhansky, Michael; Wang, Baoxiang; Zhang, Hua Global well-posedness and scattering for the fourth order nonlinear Schrödinger equations with small data in modulation and Sobolev spaces. J. Math. Pures Appl. (9) 105 (2016), no. 1, 31–65.  

7. Wang, Baoxiang Ill-posedness for the Navier-Stokes equations in critical Besov spaces B˙1,q. Adv. Math. 268 (2015), 350–372.  

8. Han, Jinsheng; Wang, Baoxiang α-modulation spaces (I) scaling, embedding and algebraic properties. J. Math. Soc. Japan 66 (2014), no. 4, 1315–1373.

9. Wang, Baoxiang Globally well and ill posedness for non-elliptic derivative Schrödinger equations with small rough data. J. Funct. Anal. 265 (2013), no. 12, 3009–3052.

10. Ruzhansky, Michael; Sugimoto, Mitsuru; Wang, Baoxiang Modulation spaces and nonlinear evolution equations. Evolution equations of hyperbolic and Schrödinger type, 267–283, Progr. Math., 301, Birkhäuser/Springer Basel AG, Basel, 2012.

11. Han, Lijia; Wang, Baoxiang; Guo, Boling Inviscid limit for the derivative Ginzburg-Landau equation with small data in modulation and Sobolev spaces. Appl. Comput. Harmon. Anal. 32 (2012), no. 2, 197–222.

12. Guo, Zihua; Peng, Lizhong; Wang, Baoxiang; Wang, Yuzhao Uniform well-posedness and inviscid limit for the Benjamin-Ono-Burgers equation. Adv. Math. 228 (2011), no. 2, 647–677.

13. Feichtinger, Hans G.; Huang, Chunyan; Wang, Baoxiang Trace operators for modulation, α-modulation and Besov spaces. Appl. Comput. Harmon. Anal. 30 (2011), no. 1, 110–127.

14. Guo, Zihua; Peng, Lizhong; Wang, Baoxiang On the local regularity of the KP-I equation in anisotropic Sobolev space. J. Math. Pures Appl. (9) 94 (2010), no. 4, 414–432.

15. Wang, Baoxiang; Han, Lijia; Huang, Chunyan Global well-posedness and scattering for the derivative nonlinear Schrödinger equation with small rough data. Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009), no. 6, 2253–2281.

16. Guo, Zihua; Wang, Baoxiang Global well-posedness and inviscid limit for the Korteweg-de Vries-Burgers equation. J. Differential Equations 246 (2009), no. 10, 3864–3901.

17. Han, Lijia; Wang, Baoxiang Global wellposedness and limit behavior for the generalized finite-depth-fluid equation with small data in critical Besov spaces B˙s2,1. J. Differential Equations 245 (2008), no. 8, 2103–2144.

18. Huang, Chunyan; Wang, Baoxiang Inviscid limit for the energy-critical complex Ginzburg-Landau equation. J. Funct. Anal. 255 (2008), no. 3, 681–725.  

19. Guo, Zihua; Peng, Lizhong; Wang, Baoxiang Decay estimates for a class of wave equations. J. Funct. Anal. 254 (2008), no. 6, 1642–1660.

20. Wang, Baoxiang; Huang, Chunyan Frequency-uniform decomposition method for the generalized BO, KdV and NLS equations. J. Differential Equations 239 (2007), no. 1, 213–250.

21. Wang, Baoxiang; Hudzik, Henryk The global Cauchy problem for the NLS and NLKG with small rough data. J. Differential Equations 232 (2007), no. 1, 36–73.

22. Wang, Baoxiang; Hao, Chengchun; Hudzik, Henryk Energy scattering theory for the nonlinear Schrödinger equations with exponential growth in lower spatial dimensions. J. Differential Equations 228 (2006), no. 1, 311–338.

23. Baoxiang, Wang; Lifeng, Zhao; Boling, Guo Isometric decomposition operators, function spaces Eλp,q and applications to nonlinear evolution equations. J. Funct. Anal. 233 (2006), no. 1, 1–39.

24. Baoxiang, Wang; Youde, Wang The inviscid limit of the derivative complex Ginzburg-Landau equation. J. Math. Pures Appl. (9) 83 (2004), no. 4, 477–502.

25. Wang, Baoxiang The limit behavior of solutions for the Cauchy problem of the complex Ginzburg-Landau equation. Comm. Pure Appl. Math. 55 (2002), no. 4, 481–508.

26.  Wang, Baoxiang Scattering of solutions for critical and subcritical nonlinear Klein-Gordon equations in $H^s$. Discrete Contin. Dynam. Systems 5 (1999), no. 4, 753–763

27. Guo, Boling; Wang, Baoxiang The Cauchy problem for Davey-Stewartson systems. Comm. Pure Appl. Math. 52 (1999), no. 12, 1477–1490.

28. Wang, Baoxiang; Wang, Tingfu Support functionals and smooth points in abstract $M$ spaces. Proc. Amer. Math. Soc. 127 (1999), no. 6, 1761–1770.

 

 

荣誉奖励及参加学术团体的情况

2005-2008, Front. Math. China, Editorial Board

2011-2019, 数学进展,常务副主编

2010—Journal of Partial Differential Equations, Editorial Board.

 

参加国际会议特邀报告

1. 2000 7World Congress of Nonlinear Analysts, Catania, Plenary speaker (60 minutes)

2. 2004. 6, World Congress of Nonlinear Analysts, Orlando, Plenary speaker (60 minutes)

3. 2006.8, International Conference on function spaces VIIIPlenary speaker (50 minutes)

4. 2008, 7 World Congress of Nonlinear Analysts, Orlando, Plenary speaker (60 minutes)

5. 2009.7.67.12, International conference on function spaces IX, Poznan, Poland, Plenary speaker (45 minutes)

6. 2009.9.2810.1, The 9th international conference by graduate school of mathematics, Nagoya University  Harmonic Analysis and Partial Diff Equation, Plenary speaker (50 minutes)

7. 2010.7.5-7,  RIMS Symposium Harmonic Analysis and Nonlinear PDE,Invited Speaker 50 minutes

8. 2013.7.8-10, Harmonic Analysis and PDEKyoto University  (2 hour invited speaker) 

9. 2013.8.5-9, The 9th International ISAAC Congress, Kracow, Poland, 50 minutes Plenary Lecture,  

10. 2016.7.18-22, International Workshop on Fundamental Problems in Mathematical and Theoretical Physics, Waseda University,  Mini-course (three 90 minutes invited lectures)

11. 2017.2.20-22 Critical Problems for Nonlinear Evolution Equations, Tokyo University of Sciences, Invited speaker (50 minutes)

12. 2018.3.12-14 , Workshop on Nonlinear PDE X,  Nagoya (50 minutes Talk)

 

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