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霍朝辉

时间:2014-07-29  来源:文本大小:【 |  | 】  【打印

个人简况 

姓名:霍朝辉 

最高学历: 博士研究生    最高学位: 博士

毕业院校: 中国工程物理研究院

研究方向: 非线性偏微分方程

办公电话:  010-62541845   电子信箱: zhhuoATamss.ac.cn 

 

主要成果: 

1. 研究了相函数是非齐次多项式的色散波方程低正则性解的适定性

2. 研究了相函数是非齐次多项式的色散波方程的整体吸引子的存在性

3. 研究了空间齐次没有Grad截断假设的Boltzmann方程的弱解的正则性

4. 研究了广义的一维的Ginzburg-Landau方程解的非粘性极限行为问题和解的低正则性问题

代表作: 

1.Huo Zhaohui, Jia Yueling, Well-posedness and inviscid limit behavior of solution for the generalized 1D Ginzburg-Landau equation, Journal de Mathématiques Pures et Appliquées.  92 (2009) 18-51.

2.Huo Zhaohui , Jia Yueling,Global well-posedness for the generalized 2D Ginzburg-Landau equation. J. Differential Equations 247 (2009), no. 1, 260—276. 

3.Jia Yueling, Huo Zhaohui, Well-posedness for the fifth order shallow water equations, Journal of Differential Equations, 246 (2009), no. 6, 2448—2467  

4.Zhaohui Huo, Y. Morimoto,  S. Ukai  and   T. Yang,  Regularity of solutions for spatially homogeneous Boltzmann equation  without angular cutoff,  Kinet. Relat. Models 1 (2008), no. 3, 453--489.

5.Huo Zhaohui, Jia Yueling,  A refined well-posedness for the fourth-order nonlinear Schr\"{o}dinger equation related to the vortex filament, Comm. Partial Differential Equations 32 (2007), no. 10-12, 1493--1510.

6. Guo Boling, Huo Zhaohui, The global attractor of damped, forced generalized Korteweg de Vries-Benjamin-Ono equation in  L^2, Discrete and Continuous Dynamical Systems,  16 (2006),121-136.

7. Huo Zhaohui, Jia Yueling,Low regularity solutions for the Ostrovsky equation, Proceedings of the Edinburgh Mathematical Society, 49(2006), 1-14.

8. Huo Zhaohui, Jia Yueling,The Cauchy Problem for the Fourth-order Nonlinear Schrödinger Equation Related to the Vortex Filament, Journal of Differential Equations, Vol.214, Issue 1(2005), 1-35.

9. Huo Zhaohui, Jia Yueling,Well-posedness for the Cauchy problem to the Hirota equation in Soblev spaces of negative indices, Chin. Ann. Math., 26B:1(2005), 75-88. 

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