Global existence and uniqueness of Yudovich's solutions to the 3D Newton-Boussinesq system
Global existence and uniqueness of Yudovich's solutions to the 3D Newton-Boussinesq system
复制标题
Yudovich 3D Newton-Boussinesq 系统解的全局存在性和唯一性
DOI：
10.1080/00036811.2017.1343463
复制
发表时间：
2018
影响因子：
1.1
通讯作者：
Zhang Qian
中科院分区：
文献类型：
--
作者：
Ma Hongyan;Zhang Qian
本文研究了一类非衰减涡量的三维牛顿-布辛尼斯克方程的全局适定性。利用傅里叶分析和耦合结构，建立了非lipschitz矢量场涡度的全局实时估计。这一估计加上新的观测结果使我们能够得到全球存在的非衰减涡度。更重要的是，随着时间的发展，我们证明了这个解决方案是独一无二的。
In this paper, we investigate the global well-posedness for the 3D Newton-Boussinesq equations in a large class of non-decaying vorticity. With the help of the Fourier analysis and the coupling structure, we establish the global-in-time estimate of vorticity in non-Lipschitz vector field. This estimate together with a new observation enables us to obtain the global existence of non-decaying vorticity. More importantly, we show this solution is unique as time develops.