多维双极Euler-Poisson方程的C1解的整体存在性

摘要

In this paper,we study a multi-dimensional bipolar Euler-Poisson system (hydrodynamic model) from semiconductor devices or plasmas.Using Littlewood-Paley analysis and energy estimates,we obtain the global well-posedness of classical solutions to the initial value problems in Besov space.Moreover,we also prove that the vorticitics of velocities converge to zero exponentially in the 2D and 3D spaces.%本文研究了出现在半导体器件或者等离子中的多维双极Euler-Poisson方程,证明了它的初值问题的C1解在Besov空间的整体存在性,同时也得到了在二维和三维情形下,速度的璇度以指数的速率收敛到零.