Article Contents
Article Contents

# Stability of stationary waves for full Euler-Poisson system in multi-dimensional space

• This paper is concerned with the nonisentropic unipolar hydrodynamic model of semiconductors in the form of multi-dimensional full Euler-Poisson system. By heuristically analyzing the exact gaps between the original solutions and the stationary waves at far fields, we ingeniously construct some correction functions to delete these gaps, and then prove the $L^\infty$-stability of stationary waves with an exponential decay rate in 1-D case. Furthermore, based on the 1-D convergence result, we show the stability of planar stationary waves with also some exponential decay rate in $m$-D case.
Mathematics Subject Classification: Primary: 35L50, 35L60, 35L65; Secondary: 76R50.

 Citation:

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