Decay of the solution for the bipolar Euler-Poisson system with damping in dimension three
Decay of the solution for the bipolar Euler-Poisson system with damping in dimension three
复制标题
DOI：
10.4310/cms.2014.v12.n7.a5
复制
发表时间：
2014
影响因子：
1
通讯作者：
Zhigang Wu;Weike Wang
中科院分区：
文献类型：
--
作者：
Zhigang Wu;Weike Wang
抽象的。当H范数的初值较小时，构造了三维带阻尼项的双极型Euler-Poisson方程柯西问题的整体解。此外，通过使用精化的能量估计和内插技巧，我们改进了[Y.P.Li和X.F.Yang，J.Diff]中的衰减估计。等式，252(1)，768-791,2012]，我们不需要在[Y.P.Li，X.F.Yang，J.Diff]中的L空间中的初始数据的小的假设。等式，252(1)，768-791,2012]。
Abstract. The global solution to Cauchy’s problem of the bipolar Euler-Poisson equations with damping in dimension three are constructed when the initial data in H norm is small. Moreover, by using a refined energy estimate together with the interpolation trick, we improve the decay estimate in [Y.P. Li and X.F. Yang, J. Diff. Eqs., 252(1), 768–791, 2012], and we need not the smallness assumption of the initial data in L space in [Y.P. Li and X.F. Yang, J. Diff. Eqs., 252(1), 768–791, 2012].