個人簡況
姓名：霍朝輝
最高學歷: 博士研究生 最高學位: 博士
畢業(yè)院校: 中國工程物理研究院
研究方向: 非線性偏微分方程
主要成果
1. 研究了相函數(shù)是非齊次多項式的色散波方程低正則性解的適定性
2. 研究了相函數(shù)是非齊次多項式的色散波方程的整體吸引子的存在性
3. 研究了空間齊次沒有Grad截斷假設(shè)的Boltzmann方程的弱解的正則性
4. 研究了廣義的一維的Ginzburg-Landau方程解的非粘性極限行為問題和解的低正則性問題
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 Schr?dinger 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.