Existence of spherically symmetric solutions for a reduced gravity two-and-a-half layer system

Existence of spherically symmetric solutions for a reduced gravity two-and-a-half layer system
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减重两层半系统球对称解的存在性

DOI:
10.1016/j.jde.2016.04.012
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发表时间:
2016
影响因子:
2.4
通讯作者:
Wang Wenjun
Wang Wenjun
中科院分区:
数学2区
文献类型:
--
作者:
Yao Lei;Li Zilai;Wang Wenjun

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本文考虑海洋流体动力学中一类约化重力二层半方程组解的适定性,通过构造适当的近似解,利用弱收敛方法,得到了当初始值较大且球对称时,二维外空间区域弱解的整体存在性.
In this paper, we consider the well-posedness of solutions to a reduced gravity two-and-a-half layer system in oceanic fluid dynamics.By constructing suitable approximate solutions and using the method of weak convergence, we obtain the global existence of weak solutions in two-dimensional exterior spatial domain, when the initial data are large and spherically symmetric.