Global well-posedness of strong solutions to a two-phase model with magnetic field for large oscillations in three dimensions
Global well-posedness of strong solutions to a two-phase model with magnetic field for large oscillations in three dimensions
复制标题
三维大振荡磁场两相模型强解的全局适定性
DOI：
10.1016/j.jde.2018.08.057
复制
发表时间：
2019
影响因子：
2.4
通讯作者：
Chen Yingshan
中科院分区：
文献类型：
--
作者：
Zhu Limei;Chen Yingshan
本文考虑三维磁场两相模型的柯西问题。在初始值很小但可能有大振荡的假设下，我们得到了强解的整体适定性及其大时间行为。与文[28]在H2范数下得到的小初值条件下强解的整体适定性和大时间性态相比，我们只需要小的初始能量就可以得到大的振荡.
In this paper, we consider Cauchy problem for a two-phase model with magnetic field in three dimensions. Under some smallness assumptions on the initial data but possibly large oscillations, we obtain the global well-posedness of strong solution as well as its large-time behavior. Compared with Wen and the first author's work [28] where global well-posedness and large time behavior of strong solutions were obtained subject to smallness of initial data in H 2 norm, we only need the smallness of initial energy which allows large oscillations of the initial data.