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Stability and <inline-formula><tex-math id="M1">\begin{document}$ L^{p}$\end{document}</tex-math></inline-formula> convergence rates of planar diffusion waves for three-dimensional bipolar Euler-Poisson systems
In the paper, we consider a three-dimensional bipolar hydrodynamic model from semiconductor devices and plasmas. This system takes the form of Euler-Poisson with electric field and relaxation term added to the momentum equations. We first construct the planar diffusion waves. Next we show the global existence of smooth solutions for …