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Title Analysis on the initial-boundary value problem of a full bipolar hydrodynamic model for semiconductors

Name Haifeng Hu
Country Peoples Rep of China
Email huhf836@nenu.edu.cn
Co-Author(s) Kaijun Zhang
Submit Time 2014-02-08 01:13:27
Special Session 37: Global or/and blowup solutions for nonlinear evolution equations and their applications
In this paper, we study the initial boundary value problem of the one dimensional full bipolar hydrodynamic model for semiconductors. The existence and uniqueness of the stationary solution are established by the theory of strongly elliptic systems and the Banach fixed point theorem. The exponentially asymptotic stability of the stationary solution is given by means of the energy estimate method.