Academic Areas: Partial Differential Equations
Research Interests: Navier-Stokes Equations
Academic Degrees
PhD, 2008, Wuhan Institute of Physics and Mathematics, the Chinese Academy of Sciences, Mathematics, Wuhan, China;
Master, 2005, School of Mathematics and Statistics, Central China Normal University, Wuhan, China;
Bachelor, 2002, School of Mathematics and Statistics, Central China Normal University, Wuhan, China.
Professional Experience
Associate Professor (2011-present); School of Mathematics and Statistics,, Huazhong University of Science and Technology;
Visiting Associate Professor (2011-2012); Department of Mathematics, University of Iowa;
Lecturer (2008-2010); School of Mathematics and Statistics, Huazhong University of Science and Technology.
Selected Publications
• 1. (with T. Li) Convergence rate to strong boundary layer solutions for generalized BBM-Burgers equations with non-convex flux，Communications on Pure and Applied Analysis, 13(2) (2014): 835-858.
• 2. (with L.-L. Fan and H.-X. Liu) Decay estimates of planar stationary waves for damped waves equations with nonlinear convection in multi-dimensinal half space，Acta Mathematica Scientia, English Series, 31B(4) (2011): 1389-1410.
• 3. (with J.-Y. Hu) Exponential decay rate of solutions toward traveling waves for the Cauchy problem of generalized Benjanmin-Bona-Mahony-
Burgers equations，Nonlinear Analysis 73 (2010): 1729-1738.
• 4. (with H.-J. Zhao and L.-N. Zhou) Convergence rate of solutions toward traveling waves for the Cauchy problem of generalized Korteweg-de Vries-Burgers equations，Nonlinear Analysis 71(9) (2009): 3981-3991.
• 5. (with H.-J. Zhao) Nonlinear Stability of Boundary Layer Solutions for Generalized Benjamin-Bona-Mahony-Burgers Equation in the Half Space， Kinetic and Related Models 2(3) (2009): 521-550.
• 6. (with J.-Z. Qian) Convergence rates for the compressible Navier-Stokes equations with general forces，Acta Mathematica Scientia, English Series 29B(5) (2009): 1351–1365.
• 7. (with X. Ma and J. Jin) Global asymptotics toward the rarefaction waves for a parabolic-elliptic system related to the Camassa-Holm shallow water equation, Acta Mathematica Scientia, English Series 29B(2) (2009) : 371-390.
• 8. (with H.-J. Zhao and Kim) Convergence rate of solutions toward boundary layer solutions for generalized Benjanmin-Bona-Mahony-Burgers equations，J. Differential Equations 245 (2008): 3144-3216.
• 9. (with S.-Y. Chen and J. Jin) Convergence rare to traveling waves for generalized Benjanmin-Bona-Mahony-Burgers equations，Z. angew. Math. Phys. 59(6) (2008): 969-1001.
• 10. (with L.-L. Fan and H.-J. Zhao) Decay rates toward stationary waves of solution for damped wave equations，J. Partial Differential Equations 21 (2008): 141-172.
• 11. (with J.-Z. Qian) On the stationary solutions of the full compressible Navier-Stokes equations and its stability with respect to initial disturbance, J. Differential Equations 237 (2007):225-256.
• 12. (with C.-J. Zhu and Z.-Y. Zhang) Convergence to diffusion waves for nonlinear evolution equations with ellipticity and damping, and with different end states, Acta Mathematica Sinica, English Series 22(5) (2006): 1357-1370.
Awards:
2014 “Excellent Quality of Teaching”， Huazhong University of Science and Technology.
2013 “Advanced workers”， Huazhong University of Science and Technology.
2010 “Teaching Contest among Young Teachers”, Huazhong University of Science and Technology.
2010 “Excellent Quality of Teaching”， Huazhong University of Science and Technology.
2009 “Excellent Quality of Teaching”， Huazhong University of Science and Technology.
2009 “Reviewer” , Mathematical Reviews.
2008 My PhD thesis titled "Properties of Solutions to the Generalized BBM-Burgers Equations" had been contained in China Doctor Dissertation Full-text Database.
Courses Taught
Mathematical physics equations and special functions
Complex Function and Integral Transform
Project
National Natural Science Foundation of China：10901064, Research on “Initial-boundary value problem for fluid mechanics equations with dissipative effect”, 2010/01—2012/12
Chinese