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Research
Nonlinear PDE
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Brief Introduction of RUAN, Lizhi

Time:2015-07-28  Author:  ClickTimes:
RUAN, Lizhi
Chinese Version  (中文版)          
PERSONAL INFORMATION
Name: Lizhi RUAN, Professor  
Address: School of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, China  
E-mail:rlz@mail.ccnu.edu.cn      
       
EDUCATION
Ph.D. Mathematics,Central China Normal University, 2008. Dissertation: Asymptotic behavior of solutions to a hyperbolic-elliptic coupled system in radiating gas. Advisor: Professor Changjiang Zhu.  
M.A.Mathematics, Central China Normal University, 2003.  
B.A.Mathematics, Hubei University for Nationalities, 2000.  
   
RESEARCH INTERESTS AND CURRENT RESEARCH WORKS
Fluid dynamics;   Hyperbolic conservation laws; Stability of     nonlinear waves.    
   
We have done some research on mathematical theories on a kind of hyperbolic-elliptic coupled partial differential equations describing dynamics of gas in presence of radiation and related models, whose typical natures are twofold: on one hand, much weaker dissipation result in loss of regularity, which make solutions exhibit quite complicated phenomenon. On the other hand, the kinds of equations are a hyperbolic-elliptic coupled system.  
Currently, we are working some research on the stability of the vortex sheets of inviscid flow models.  
   
ACADEMIC VISITS
2015.1.30-2015.2.28, Visiting Scholar, The Institute of Mathematical Scineces, The Chinese University of Hong Kong, Hong Kong.  
2014.1.10-2014.2.9, Visiting Scholar, Department of Mathematics, The Chinese University of Hong Kong, Hong Kong.  
2012.2.21-2013.2.20:Visiting Scholar, Department of Mathematics, University of Pittsburgh, USA  
2012.1.6-2012.2.6, Visiting Scholar, Department of Mathematics, City University of Hong Kong, Hong Kong.  
2011.6.1-2011.6.30, Visiting Scholar, The Institute of Mathematical Scineces, The Chinese University of Hong Kong, Hong Kong.  
2011.5.1-2011.5.31, Visiting Scholar, Department of Mathematics, The Chinese University of Hong Kong, Hong Kong.  
2010.5.3-2010.7.2, Visiting Scholar, The Institute of Mathematical Scineces, The Chinese University of Hong Kong, Hong Kong.  
2009.1.12-2009.2.12,Visiting Scholar, Department of Mathematics, City University of Hong Kong, Hong Kong.
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