Pointwise estimates of solutions for the multi-dimensional bipolar Euler–Poisson system
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- 作者：Zhigang Wu ; Yeping Li
- 刊名：Zeitschrift f¨¹r angewandte Mathematik und Physik
- 出版年：2016
- 出版时间：June 2016
- 年：2016
- 卷：67
- 期：3
- 全文大小：648 KB
- 刊物主题：Theoretical and Applied Mechanics; Mathematical Methods in Physics;
- 出版者：Springer Basel
- ISSN：1420-9039
- 卷排序：67
文摘
In the paper, we consider a multi-dimensional bipolar hydrodynamic model from semiconductor devices and plasmas. This system takes the form of Euler–Poisson with electric field and frictional damping added to the momentum equations. By making a new analysis on Green’s functions for the Euler system with damping and the Euler–Poisson system with damping, we obtain the pointwise estimates of the solution for the multi-dimensions bipolar Euler–Poisson system. As a by-product, we extend decay rates of the densities \({\rho_i(i=1,2)}\) in the usual L2-norm to the Lp-norm with \({p\geq1}\) and the time-decay rates of the momentums mi(i = 1,2) in the L2-norm to the Lp-norm with p > 1 and all of the decay rates here are optimal.KeywordsBipolarEuler–Poisson systemPointwise estimatesGreen’s function