學習經歷
1,1990—1994 華中師範大學數學系本科
2,1994—1997 華中師範大學基礎與套用數學碩士
3,2000—2003 香港中文大學數學科學研究所,博士
4,2004—2005 中國工程物理研究院北京套用物理與計算數學研究所,博士後
5,1997—1999 華中師範大學教務處
6,1999.02—2006.11 華中師範大學數學與統計學學院,任教
7,2006.12—至今 西北大學, 任教4
主要成果
科研項目1,國家自然科學基金(10401012):可壓Navier-Stokes方程解的長時間行為。項目主持
2,教育部留學回國人員科研啟動金:可壓Navier-Stokes方程的自模解及解的長時間行為。項目主持
3,國家自然科學基金(10771170): 高維可壓Navier_stokes方程的真空問題,項目主持。
1,參與教學項目“面向資訊時代的常微分方程”2001年獲湖北省人民政府省級教學成果一等獎
2,1999年指導學生參加全國大學生數學建模競賽獲省級二等獎。
3,湖北省優秀自然科學論文三等獎,2002年
1, Self-similar Solutions to the Isothermal Compressible Navier-Stokes
Equations。IMA Journal of Applied Mathematics, (2006)71, 658-669
2,Helically Symmetric Solutions to the 3-D Navier-Stokes Equations for Compressible Isentropic Fluids. Journal of Differential Equations, 222(2006) 263-296;
3,Large-time Behavior of Solutions to the Stokes Approximation Equations for Two Dimensional Compressible Flows. Acta Mathematicae Applicatae Sinica,English Series, Vol.21, No.4 (2005) 1-18
4, Global Helically Symmetric Solutions to the Stokes
Approximation Equations for Three-Dimensional Compressible viscous Flows。MAA Methods and Applications of Analysis,Vol.12, No.2, pp.135-152, ?June 2005
5,Yinbing Deng, Zhenhua Guo and Gengsheng Wang, Nodal solutions for $p$-Laplace equations with critical growth,Nonlinear Anal.54(2003), no.6, 1121-1151
6,Nonexistence and bifurcation solutions for $\Delta\sp 2u=\lambda u+u\sp{(N+4)/(N-4)}+ μf(x)$, Acta Math.Sci.Ser.A Chin.Ed. 21(2001),no.4,549-558
7,Existence of multiple solutions of $\Delta\sp 2u=\lambda u+u\sp {(N+4)/(N-4)}+μf(x)$,Acta Math.Sci.(Chinese) 19(1999),no.2,138-148
8,The structure of radial solutions of the equation $-\Delta u+u=Q(\vert x\vert )\vert u\vert \sp {p-1}u$. (Chinese), J.Central China Normal Univ.Natur. Sci. 31(1997),no.3,263-26
9. Zhenhua Guo, Mina Jiang, Zhi'an Wang and Gaofeng Zheng Global weak solutions to the Camassa-holm equation. Discrete and Continuous Dynamical Systems. Vol.21, No.3(2008)883-906
10. Zhenhua Guo, Quansen. Jiu, Zhouping Xin
Spherically symmetric isentropic compressible flows with density-dependent viscosity coefficients.
SIAM J. MATH.ANAL. Vol.39, No.5(2008)1402-1427
11. Zhenhua Guo, Song Jiang, Feng Xie
Global Existence and Asymptotic Behavior of Weak Solutions to the 1D Compressible Navier-Stokes Equations with Degenerate Viscosity Coefficient.
Asymptotic Analysis 60(2008)101-123